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# The graphs of polar equations

XP 17 M152 / SP2021 / Bingham

Directions: Answer the questions posed below, submit your answers to CANVAS as a Written Submission (direct written entry into CANVAS, using CANVAS writing tools) or as a File Upload. This XP is worth a maximum of 10 points.

1a) The graphs of polar equations and have two points of intersection.
Identify those points using Polar coordinates AND rectangular coordinates.

1b) The graph of linear equation has two intercepts.
Identify those points using rectangular coordinates AND polar coordinates.
Then, write the original equation in Polar function form. (that’s form)

2a) Using your calculator/technology to help, sketch the graph of the Polar function
on a set of Polar axes.

Graph it over the interval ; mark the orientation of the graph.

Also, mark the positions and give the exact Polar coordinates of the points where

`` .       (hint:  shows up a lot)``

b) Find the Polar radial derivative for the function in part a. Then, use it to find the exact values of for the values mentioned in part a, above.
At which two points in part a’s graph does = 0?

Sample Solution

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