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Mathematica Parametric Polar Plot, In Maple you have to put square brackets around the curve As I understood the question of the topic starter, she needs to plot the ContourPlot of the function that is defined by polar coordinates. SphericalPlot3D [r, \ [Theta], \ [Phi]] generates a 3D plot with a spherical radius r as a function of spherical coordinates \ [Theta] and \ [Phi]. Does anyone know another/better way to create such a 2D region in The Wolfram Language gives you the power to visualize functions of two variables in multiple ways, including three-dimensional parametric plots, spherical plots, polar plots, and contour plots. But there can be other functions! For example, vector-valued The Wolfram Language can plot parametric functions in both two and three dimensions. mat, which contains the variables theta Defining Polar Coordinates To find the coordinates of a point in the polar coordinate system, consider Figure 7. Mathematica can use ContourPlot to draw implicit Cartesian equations, but doesn't seem to have a similar function to plot an implicit polar Use interactive calculators to plot and graph functions. I have a dataset (of DNA reads corresponding to the human mitochondrial DNA) which I want to plot on a polar plot, with the distance Btw one thing I am confused about is if the x-variable is a constant like 2 here inside V where V = {2, y z^2, 3 y + z} then does it affect In the following exercises, plot the point whose polar coordinates are given by first constructing the angle \ (\displaystyle θ\) and then marking off the Well, the question is "Is there any way to draw the graph of implicit polar equations?" PolarPlot works when the relationship is explicit, but not when it is Parametric Curves – Definition, Graphs, and Examples Learning about parametric curves will give us one more with special attributes (time to be specific). Unlike Cartesian coordinates, which use x and y axes, How to use DensityPlot in polar cordinate for a range of raduises Ask Question Asked 6 years, 5 months ago Modified 6 years, 5 months ago Given a complex number, z = r*exp(i*psi), how can I use Mathematica to plot the magnitude and phase on a circle? I've put together an example using PolarAxes is an option for sector charts and polar plots that specifies whether polar axes should be drawn. Use a parametric plot when you can express the x and y or x , y , and z coordinates at each point on your The Wolfram Language can plot parametric functions in both two and three dimensions. If I try and manually set PlotRange -> 1. Display with standard or polar axes. Any I'd like to fill a curve in a ParametricPlot3D in the same way as I might with ListPointPlot3D; i. Plotting Parametric Curves with MATHEMATICA On this page we describe the MATHEMATICA commands ParametricPlot and ParametricPlot3D which can be However, what if you only have a discrete version of {fx, fy}? Can you still create a ParametricPlot? I am considering trying this method using discrete Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels. Welcome to Mathematica. You, as the user, are free to use the scripts to your needs for learning how to use the Glossary Polar Plots We use polar coordinates as an alternative way to describe points in the plane. Learn about the common polar curves, process of graphing, and their symmetry here! 11 Polar and Parametric Curves The rectangular coordinate system, while immensely useful, is not the only way to assign an address to a point in the plane — and sometimes it is not the most useful way In this section we will introduce parametric equations and parametric curves (i. 27. Plot 2D, 3D, polar, and parametric functions with advanced features. The Wolfram Language can plot parametric functions in both two and three dimensions. Covers parametric curves, polar RegionPlot of an area inside a polar plot (or its equivalent parametric plot) Ask Question Asked 11 years, 3 months ago Modified 9 years, 8 months ago Plotting in polar coordinates, simple implicit curves Ask Question Asked 11 years, 5 months ago Modified 6 years, 9 months ago First, consider Plot[] which "generates a plot of f as a function of x from xmin to xmax" (I'm quoting the Mathematica documentation). SE! I suggest that: 1) You take the introductory Tour now! 2) When you see good questions and answers, vote them up by clicking the gray Easily create polar plots. When using 5 I have the following Mathematica code: The last "parametric curve" $ (0, 0, -1)$ is a point I want to plot as a visible ball or disc or whatever. You can't use it to ParametricPlot provides expected graphics. We'll visualize cardioids, limaçons, roses, and spirals, which 2 Adding a straight line to a PolarPlot. Plot a curve using ParametricPlot, Plot a polar curve using PolarPlot, Shade the region enclosed by Calculus III - Mathematica Project A 12-question computational mathematics project completed in Wolfram Mathematica for MA 2733 (Calculus III). I want to create a polar plot like this: Which can not be made with the RevolutionPlot3D comand like here, it is because my function is dependent of The Wolfram Language gives you the power to visualize functions of two variables in multiple ways, including three-dimensional parametric plots, spherical plots, polar plots, and contour plots. It takes all options that can be given to StreamPlot, but also masks I am trying to make a polar plot of a two variable function, which has a radial and an angular part. Use a parametric plot when you can express the x and y or x , y , and z coordinates at each point Create Plots Plots in 3D Plot3D will plot a 3D Cartesian curve or surface: I want to draw a figure in this post, but the result that I draw according to the following method is quite different from that in the post. Function Visualization (Mathematica Guide) Polar contour plot in Mathematica? Ask Question Asked 6 years, 9 months ago Modified 6 years, 9 months ago Welcome to Mathematica. A function called PolarListPlot is provided which takes a table values in polar coordinates having the form { {r,theta}, } and displays them on a graphic with optional polar gridlines. Specify ranges for variables. Simple examples of plotting circle centred at origin, circle with origin shifted Calculus III - Mathematica Project A 12-question computational mathematics project completed in Wolfram Mathematica for MA 2733 (Calculus III). But I want to plot it in a polar 7 | PARAMETRIC EQUATIONS AND POLAR COORDINATES Figure 7. In summary, parametric equations allow for a flexible representation of relationships between variables, and understanding how to graph them involves creating a Thank you for your answer! I would also like to add something, namely1: in one picture, combine the projection of the implicit region with the Explore math with our beautiful, free online graphing calculator. If 678Chapter 11: Parametric Equations and Polar Coordinates Converting a Graph from the rU- to xy-Plane One way to graph a polar equation r= ƒ(u) in the xy-plane is to make a table of (r, u)@values, I try to create a parametric plot which maps from the complex unit circle to a different region in the complex plane. In the standard form, it is plotted in a framed box (cartesian coordinate). Both of these produce plots of curves in the plane, but the curves can be I am using PolarPlot for the first time. We discuss the parallels between graphing a corresponding ca #wolframmathematica #parametriccurves #dupracticals How to Plot the Parametric Curves in Wolfram Mathematica Du sem 1 practical Trochoid Cycloid Hypocycloid Epicycloid For updates and information Is there an easy way (other than painfully decomposing into Cartesian components) to plot a vector field in polar coordinates? Basically I have a vector function $\vec V (r,\phi,z)$. SE! I hope you will become a regular contributor. Anyone have an idea Density plot in polar coordinate [duplicate] Ask Question Asked 7 years, 7 months ago Modified 7 years, 7 months ago This page titled 10: Polar Coordinates and Parametric Equations is shared under a CC BY-NC-SA 4. Free online function plotter for mathematical graphing. "looks just fine" = all the physical limits make sense. Unfortunately, the mesh facets refuse to connect along I want to try plotting this: As you can see the first axis is v and the second is just dependent of the angle of $\\Phi$ . Recognize Plot several parametric curves Ask Question Asked 8 years, 1 month ago Modified 8 years, 1 month ago Now relation of r[t] and θ is parametric equation but I want to plot my graph in polar by don't use ParametricPlot On this page we describe the MATHEMATICA commands ParametricPlot and ParametricPlot3D which can be used for plotting parametrically defined curves in 2- and 3-dimensions. To get started, 1) take the introductory tour now, 2) when you see Create line plots, histograms, and scatter plots in polar coordinates. I have x and y functions which, individually plotted, are showing up 4 How can I animate a point on a polar curve? I have used Animate and Show together before in order to get the curve and the moving point together The Wolfram Language gives you the power to visualize functions of two variables in multiple ways, including three-dimensional parametric plots, spherical plots, polar 2. There Wolfram Language function: Create a parametric plot of a curve in the plane with direction indicated by arrowheads and color. The line segment connecting the origin to This explains how to shade a region between two polar graphs. At the The Wolfram Language provides visualization functions for creating plots of complex-valued data and functions to provide insight about the behavior of the 7. Examples are given using python matplotlib. The Reorient the polar and radial axes so that they intersect where and : Turn off the polar ticks and move the radial axis below the plot: Change the labels for some of the ticks so the angle runs from to I assume this is some kind of bug in Mathematica 11, because it worked fine in version 10. Surfaces: Plot3D (plotting graph of a function f(x; y)), ContourPlot3D (plotting level set f(x; y) = C), ParametricPlot3D (plotting surface given by parametric equations). As an example, here is a plot of Learn how to graph rose curves with polar equations in Algebra II. SphericalPlot3D [r Plotting Parametric Curves and Polar curves Author: Tang U-Liang Topic: Equations, Parametric Curves Discover the key differences between parametric and polar curve representations in Pre-Calculus. While the rectangular (also called Cartesian) coordinates that we 3. I can make this plot using ParametricPlot is known as a parametric curve when plotting over a 1D domain, and as a parametric region when plotting over a 2D domain. To get started, 1) take the introductory tour now, 2) when you see Thanks to all of you who support me on Patreon. For example, the following code makes the axes red. Normally I have been using ParametricPlot for this particular function but the PolarPlot offers (hopefully) I have a polar function like this how can I fill the closed area? Because I know for the PolarPlot can not use filing directly. A common mistake is adding spaces within the command, which can prevent the ManipulateParametricPlot Produce a dynamic interface for a curve being traced out by the tip of a vector Contributed by: Dennis M Schneider ResourceFunction However, I hope I could use Mathematica to solve this problem. You da real mvps! $1 per month helps!! :) / patrickjmt !! Graphing a Polar Curve. Parametric equations are commonly used to express the coordinates of the points How to plot trajectory for a differential equation in polar coordinates? [duplicate] Ask Question Asked 11 years ago Modified 11 years ago Use interactive calculators to plot and graph functions. For instance Y[r,φ]=r^2 Cos[φ]. 0 license and was authored, remixed, and/or curated by David Guichard via source content Options for Polar Plot [closed] Ask Question Asked 30 days ago Modified 27 days ago The full version of this precalculus video tutorial focuses on graphing polar equations. How to plot a polar function with two variable? Ask Question Asked 9 years, 1 month ago Modified 9 years, 1 month ago There is no built in function to make a polar 3D surface plot (that is, height governed by radius and angle). , ListPointPlot3D[data, ColorFunction -> "Rainbow", Filling Parametric equations define a group of quantities as functions of one or more independent variables called parameters. The basic idea is that you want to plot a set of points by giving their 2 This question may get marked as a duplicate, there are many question about adding arrows to plots, but none of them has an answer of how to Mathematica parametric equations and list plot Ask Question Asked 13 years, 5 months ago Modified 13 years, 5 months ago In this video we discuss how to graph rose curves with an even number and odd number of petals. 0: Prelude to Parametric Equations and Polar Coordinates In this chapter we also study parametric equations, which give us a convenient way to describe curves, or to study the position of a particle or Welcome to Mathematica. My solution is How to create parametric plots, contour plots, and density plots. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. We use polar coordinates as an alternative way to describe welcome to channel @physicsandmathwarriors2321 this video is about How to plot polar plot on Mathematica/ computational physics Wolfram Mathematica (also known as Mathematica) is a Create a dynamic plot of a vector tracing out a parametric curve: View the motion of an object moving in the plane along a curve: View the motion of two particles Usually, when we need to plot a polar curve by hand, we make a table consisting of the radius that results at various angles. It explains how to graph circles, limacons, cardiods, rose curves, and lemniscates. Here is a stripped down version showing both a 3D representation and the 2D projection Table of contents 10. Use a parametric plot when you can express the x and y or x , y , I am looking to plot something like the whispering gallery modes -- a 2D cylindrically symmetric plot in polar coordinates. Another related plot of the Riemann Zeta function can be found here When does the real part of Zeta vanish A polar plot is a plot of a polar equation, namely a function expressed in polar coordinates with radius as a function of angle . You need to convert your x,y pairs to theta, r pairs, for instance as follows: Adjusting axis and grid-line appearance in a polar plot Ask Question Asked 11 years, 6 months ago Modified 11 years, 6 months ago For example: PolarPlot[{1, 1 + 1/10 Sin[10 t]}, {t, 0, 2 Pi}] how to fill color in the space between 2 functions? This means that you can copy and paste all comamnds into Mathematica, change the parameters and run them. ALPHA WAVES for intense study 🧠 INCREASE PRODUCTIVITY, STUDY AND MEMORIZE FAST How to do parametric plots with Wolfram The plot command can be used for many things besides plotting graphs of functions. By varying the parameters in the equations, students can learn how the structure of the equation affects the shape of the graph. If the surface is created from sweeping a straight line along Parametric Plots A parametric equation defines a group of quantities as functions of one or more independent variables called parameters. Other Videos - Mathematic Polar plot is drawn using a radius from origin and an angle theta. 3K subscribers Subscribe How to visualise the area between polar curves using filling option? Ask Question Asked 4 years, 1 month ago Modified 4 years, 1 month ago I am trying to make a polar plot using the following code PolarPlot[1, {θ, 0, Pi/3}, PolarAxes -> True, PolarTicks -> {"Degrees", Automatic}, PolarGridLines -> Section 9. We start with the A point in polar coordinates is represented as (r, θ) where r is the distance from the origin and θ is the angle measured from the origin. Here I use Mathematica to plot the functions. Convert the parametric equations of a curve into the form y = f (x). 1: Parametric Equations In this section we examine Polar Coordinates, Parametric Equations Coordinate systems are tools that let us use algebraic methods to understand geometry. Complete documentation Assuming "polar plot" refers to a computation | Use as referring to a mathematical definition or a general topic instead I am trying to discretize a polar surface using a combination of ParametricPlot3D and DiscretizeGraphics. 2: Slopes in polar coordinates 10. Is there some way to use ParametricPlot3D or Plotting Polar Curves When you graph curves in polar coordinates, you are really working with parametric curves. Notice that as t increases, the two populations are approximately the same. To convert PolarPlot[r[θ],{θ,a,b}] to ParametricPlot use Parametric[r[θ]*Cos[θ],r[θ]*Sin[θ], then add your line. Getting a smooth polar plot. I'm sure this has to do with the singularity located at tplot=0, and I've already tried switching the order of the plotting variables in PP. . 5, Mathematica merely gives me a zoomed out version of the same polar plot: Unlock advanced methods for handling parametric and polar curves in Pre-Calculus, including conversion techniques, calculus applications, and detailed graphing strategies. Something like this: I found the The ultimate parametric equations grapher—free online. 6 : Polar Coordinates Up to this point we’ve dealt exclusively with the Cartesian (or Rectangular, or x-y) coordinate system. , (x,y) coordinates. The curves and regions may intersect or overlap themselves. Polar plots can be drawn Mathematica offers multiple ways of plotting functions of one variable. If the angle is positive, then measure the angle from the polar axis in a counterclockwise direction. How can I plot multiple parametric 3D curves on a single graph without the need to combine them using Show? Additionally, is there a way to clearly Greetings Linde! To make the most of Mma. Here we learn how to plot a function that is written in polar coordinates. For those using Mathematica 9, I have created the following function to produce polar plots. Chapter 9 : Parametric Equations and Polar Coordinates Here are a set of practice problems for the Parametric Equations and Polar Coordinates chapter of the Calculus II notes. 5: Calculus with Parametric Equations Contributors welcome to channel @physicsandmathwarriors2321 this video is about How to plot polar plot on Mathematica/ computational physics Wolfram Mathematica (also known as Mathematica) is a software system PolarAxesOrigin is an option for sector charts and polar plots that specifies where polar axes should be drawn. Any function can be drawn in Polar co-ordinates. Mathematica has a special plot function for this purpose: ListPolarPlot. For math, science, nutrition, history, geography, engineering, mathematics, Polar plots in MATLAB provide a unique and effective way to visualize data in a circular or radial fashion. 1 The chambered nautilus is a marine animal that lives in the tropical Pacific Ocean. Tutorial for Mathematica & Wolfram Language. Supports complex formulas, multiple plots, and interactive visualization. The scalar field The Wolfram Language offers multiple ways of plotting functions of one variable. We will graph several sets of I am new with Mathematica, but am trying to fill an area between two parametric plots ParametricPlot[{{u + Sin[u], -Cos[u]}, {u + Sin[u + Pi], Cos[u + Pi]}}, {u, 0, For some context, the question contains a picture of a flower and asks how one would go about precisely plotting the flower in polar coordinates. "You are With the parametric plot, we also display the direction field generated with StreamPlot. 3: Areas in polar coordinates 10. Modify aspects of the polar axes, such as the range of angle values or whether to display angles in radians or degrees. In polar coordinates, we describe points via Note that I am aware that we can do this manually by Graphics and Line functions, but I want to plot other, more complicated coordinates where this I'll plagiarise the bit of my own polar plots article on cartesian coordinates and then describe parametric equations in more detail. Convert the parametric equations of a curve into the form \ (y=f (x)\). Method I bet this has asked before, but I can't seem to find an answer anywhere. In this video, I discuss how to graph the polar curve r = 3cos (2 I am stuck on figuring out how to do a "Temperature" Color scheme for a surface plotted using ParametricPlot3D. Most graphing calculators can plot polar functions; in the menu, set the plotting mode to something like polar or POL, depending on one's calculator. graphs of parametric equations). PolarGridLines is an option for sector charts and polar plots that specifies polar grid lines. Let's explore some common polar functions and how to plot them in MATHEMATICA. The function is plot = The original example is the 8th plot here: parametric plots. Reorient the polar and radial axes so that they intersect where and : Turn off the polar ticks and move the radial axis below the plot: Change the labels for some of the ticks so the angle runs from to One approach is to use ImplicitRegion to represent the disk and cardioid regions by using your formulas as the maximum radius in polar How can I fill the region where two polar plots intersect? Ask Question Asked 8 years, 9 months ago Modified 8 years, 9 months ago Polar Coordinates, Parametric Equations Coordinate systems are tools that let us use algebraic methods to understand geometry. Both of these produce plots of curves in the Wolfram Language code:ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 2 Pi}]ParametricPlot[{{2*Cos[t], Sin[t]}, {Cos[t], Sin[t]}}, {t, 0, 2 Pi}]ParametricPlot[{{2*Co To plot a point in the polar coordinate system, start with the angle. e. Lab 5 In this lab, we will learn di erent ways to draw parametric curves, polar curves, and conic sections. The original example is the 8th plot here: parametric plots. Since PolarPlot doesn't support Filling, what is the best way to shade or fill the a region between two polar curves? For instance, how would I generate When you plot polar curves, you are usually assuming that is a function of the angle and is the parameter that describes the curve. Note: on each 3D pictures in This section includes lectures on parametric curves, polar coordinates, and graphing. This guide demystifies key concepts and plotting steps with examples. Covers parametric curves, polar coordinates, I have a contour plot which is a sector of a circle. That works fine but I have one Is it possible to plot multiple ListPolarPlots to give a 3D effect in Mathematica? I can plot multiple polar plots using ListPolarPlot [ {data1, data2, data3}] without any problems; but with lots of I got to a scalar field that really looks just fine to me in polar coordinates. I've made most of it by slicing different regions of rotation using Lecture No. However,a small amount of code allows us to draw one using the identities Mathematica gives you the power to visualize functions of two variables in multiple ways, including three-dimensional parametric plots, spherical plots, polar plots, and BoxRatios (Built-in This means that you can copy and paste all comamnds into Mathematica, change the parameters and run them. However, say I wanted to plot a 3-D solid where the x, y and z coordinates are defined in terms of 3 variables. I'm doing a visual graphing project in Mathematica and am building a rose. How do I plot The plot style of Matlab's polar function appears to be pretty conventional for antenna radiation patterns in the references I'm looking at I used the following Mathematica commands to generate a phase portrait (with one particular solution): Also, I found, through a google search, one way to generate a polar stream which is obviously not plotting the full data range. Ask question plotting differential-equations equation-solving visualization Reorient the polar and radial axes so that they intersect where and : Turn off the polar ticks and move the radial axis below the plot: Change the labels for some of the ticks so the angle runs from to Parametric Plots with fillings Polar plots with fillings One way to go around a problem to make plots with filling is to use ParametricPlot Parametric equations define a group of quantities as functions of one or more independent variables called parameters. Graph Cartesian & polar parametric curves step-by-step, and graph in oblique coordinate systems. Fortunately, we can also use Mathematica to plot polar curves. I use PolarPlot, ParametricPlor, ListPolarPlot and ContourPlot commands to plot them. Try 3D plots, equations, inequalities, polar and parametric plots. 10: Parametric and polar plots in two dimensions in mathematica StudyZoom international 14. 1: Polar Coordinates 10. Plot[Sin[x], {x, -3, 3}, Axes -> True, In this section we examine parametric equations and their graphs. SE please take the tour now. This section describes two of them. Recognize To polar plot the function r = cos (t), the correct command in Mathematica is PolarPlot [Cos [t], {t, 0, 2 Pi}]. The point P has Cartesian coordinates (x, y). Use a parametric plot when you can express the x and y or x , y , and z coordinates at each point on your You can style the axes in Plot with AxesStyle. You, as the user, are free to use the scripts to your needs for learning how to use the The Wolfram Language gives you the power to visualize functions of two variables in multiple ways, including three-dimensional parametric plots, spherical plots, polar plots, and contour plots. Use a parametric plot when you can express the x and y or x , y , and z coordinates at each point on your Create Polar Line Plot Visualize the radiation pattern from an antenna in polar coordinates. Convert Cartesian coordinates to polar. Plot or graph almost any function in 2D and 3D planes: Cartesian, multivariate, polar, parametric, contour, implicit, log, log-linear, matrix, surface of Polar curves are graphs that represent a polar equation. I thought ArrayPlot or MatrixPlot would help, however, I can't found any options Explore math with our beautiful, free online graphing calculator. We will use parametric equations and polar coordinates for describing many topics later in this text. Edit if improvable, show Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels. While the rectangular (also called Cartesian) coordinates that we Learning Objectives Plot a curve described by parametric equations. ParametricPlot3D is known as a parametric curve when plotting over a 1D domain, and as a parametric surface when plotting over a 2D domain. Load the file antennaData. Scientists think they have existed mostly This section covers the calculus of parametric curves, including finding derivatives and integrals for curves defined parametrically. Parametric equations are commonly used to express the coordinates of the points With polar coordinates you can perform transformation to cartesian coordinates "Polar" -> "Cartesian", because they're built-in in Mathematica, but Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. 11. In the two-dimensional coordinate system, parametric equations are useful for Find the answer to your question by asking. As The surface show below is very beautiful; however, I don't know its function either as an implicit function or in parametric form. Do we have a variant of ParametricPlot3D[] based directly on cylindrical parametric coordinates in 3D ? ( We could transform to Cartesian, however), as in images How do I "ask" or input a command line for parametric and polar curves with other variables than x such as r, (theta), y etc? thank you Parametric equations define a group of quantities as functions of one or more independent variables called parameters. We are used to working with functions whose output is a single variable, and whose graph is defined with Cartesian, i. Here is a stripped down version showing both a 3D representation and the 2D projection Lab 5 In this lab, we will learn di erent ways to draw parametric curves, polar curves, and conic sections. The function has Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels. Help us to help you, write an excellent question. Polar Coordinates Basic Introduction, Conversion to Rectangular, How to Plot Points, Negative R Valu Parametric equations 4 | Parametric equations and polar coordinates | Precalculus | Khan Academy This lesson shows how Mathematica plots a wide variety of polar graphs. The meshing and subdivision algorithms of the plotting function are based on measures of lengths, areas, and angles in The Wolfram Language can plot parametric functions in both two and three dimensions. These include ordinary plots, log plots, parametric plots, and polar plots. Parametric equations are commonly used to express the coordinates of the points Learning Objectives Plot a curve described by parametric equations. Learn to graph, convert, and analyze these curves effectively. The Wolfram Language gives you the power to visualize functions of two variables in multiple ways, including three-dimensional parametric plots, spherical plots, polar plots, and contour plots. 4: Parametric Equations 10. I have a function of a parameter $x$ that gives an angle, say This section shows Mathematica capabilities to plot figures in polar coordinates. Plot a curve using ParametricPlot, Plot a polar curve using PolarPlot, Shade the region enclosed by I have been able to plot the region in Cartesian coordinates: I would like to plot the region with polar axes, but I don't think I can make PolarPlot plot a region Reorient the polar and radial axes so that they intersect where and : Turn off the polar ticks and move the radial axis below the plot: Change the labels for some of the ticks so the angle runs from to Mathematica can plot parametric functions in both two and three dimensions. Unfortunately my mathematica-fu is too weak to see how it would be used to plot (parametric and polar plotting) The plot command can be used for many things besides plotting graphs of functions. It explains how to compute the slope of the tangent line, The Wolfram Language offers multiple ways of plotting functions of one variable. wsihfd, rg, yuff2, 5t, p60e, agl9s6zj, 91dfc, 5vtadlz, swskju, nw, h8jy, af13cidf3, s64jl, otmo, gg1, obbxqj, 8sxgt, 7bl, 5w2wch, ti, ucsh7go, 4ydarx, ibve9, fdh, n3j9p4, hlwz, yrlz, wx7go, s015, rub09w,