The goal of this problem is to sketch the curve associated with the following equation in polar coordinates r = 9 12/2+ First, use a separate page to make a table of r and values satisfying the equation (or else make a plot for the above equation using Cartesian ce information to sketch the graph of the curve in polar coordinates. (a) Use the linked page of curves and points, to identify the curve that you've sketched in the space below. Two-letter code for your curve: ? + (b) Write the polar coordinates of the points P and Q shown on the linked page. Coordates for P (r.0)= Coordinates for Q +9 sin 8 (r.0)= Important: Because of nonuniqueness of polar representations, for each point, pick the coordinates (r, 0) satisfying the equation, where @20 is the (nonnegative) angle, in radians, which may be used to represent the point. Do not use decimals in your answers.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Subject: calculus 

 

 

The goal of this problem is to sketch the curve associated with the following equation in polar coordinates r =
2
(a) Use the linked page of curves and points, to identify the curve that you've sketched in the space below.
Two-letter code for your curve: ? :
First, use a separate page to make a table of r and values satisfying the equation (or else make a plot for the above equation using Cartesian co
information to sketch the graph of the curve in polar coordinates.
(b) Write the polar coordinates of the points P and Q shown on the linked page.
Coordinates for P
(r, 0) =
Coordinates for Q
9
(r.0) =
+ 9 sin 0
Important: Because of nonuniqueness of polar representations, for each point, pick the coordinates (r. 6) satisfying the equation, where 820 is the
(nonnegative) angle, in radians, which may be used to represent the point. Do not use decimals in your answers.
Transcribed Image Text:The goal of this problem is to sketch the curve associated with the following equation in polar coordinates r = 2 (a) Use the linked page of curves and points, to identify the curve that you've sketched in the space below. Two-letter code for your curve: ? : First, use a separate page to make a table of r and values satisfying the equation (or else make a plot for the above equation using Cartesian co information to sketch the graph of the curve in polar coordinates. (b) Write the polar coordinates of the points P and Q shown on the linked page. Coordinates for P (r, 0) = Coordinates for Q 9 (r.0) = + 9 sin 0 Important: Because of nonuniqueness of polar representations, for each point, pick the coordinates (r. 6) satisfying the equation, where 820 is the (nonnegative) angle, in radians, which may be used to represent the point. Do not use decimals in your answers.
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