3. Let C be the circle r = cos 0 and C2 be the petal of the rose r = v3 cos(20) that is to the right of the -axis, as shown in the figure below. Let R be the region that is above the polar axis, inside the curve C1, and outside the curve C2, as shaded in the same figure. The portion of the curve C2 that is on and above the polar axis is traced 2 from right to left as the value of 0 increases. Also, the point with polar coordinates is on both C and 2'6 C2- Set up, but do not evaluate, the integral or sum of inte- grals for the following: C1 (a) the perimeter of R C2 (b) the area of R

Q: Sketch the polar curve r = 2 − 2 cos(θ). can you please show how you found all the points necessary…

A: In the question it is asked to draw polar curve for function r=2-2cos(θ).

Q: The curves C1 and C2 are both symmetric with respect to the polar axis. Each of these curves is…

A: As per the question we are given two polar curves C1 , C2 which are symmetric about the polar axis.…

Q: 2. Set up the integral to find the exact length of the curve Completely simplify the integrand X = +…

A:

Q: This is a continuation of #9 above. Fill in the table below and use those points to help you sketch…

A:

Q: The graph of a curve in polar coordinates is shown below and you are highlights in red a region…

A: Area bounded by the polar curve:

Q: 2. Consider the polar curves r = 4 - 2cosθ and r = 2 + 2cosθ. In this problem, we want to find the…

A: Step 1: Here we have to find out the area inside r=4−2cos(θ) and outside r=2+2cos(θ)whose graph look…

Q: II. Consider the circle C₁: r= 1 and the roses C₂ : r = cos 20 and C3 r = 2 cos 20, each of which is…

A: Given,C1: r = 1 ,      C2 : r = cos2θand  C3 : r =2cos2θ

Q: Graph the polar curve r = e® for 0< 0 < n.

A: The given polar curve is,

Q: Consider the polar curve given by the equation r(0) = 1 - sin(30). It is an example of what is…

A: Graph:

Q: 3. Use the polar graph paper below to sketch the graph of the polar regions a. R = {(r,0):1<r s 2,…

A:

Q: Plot the point -5,- given in polar coordinates, and find other polar coordinatos (r,0) of the point…

A:

Q: O Find the values of for which the polar curve 5=2(1+son 8) has horizontal tangents or vertical…

A: Given That : polar curve r=2(1+sinθ) To find : value of θ for which the polar curve has horizontal…

Q: Replace the polar equation given with its equivalent Cartesian form and describe the graph. a) r…

A:

Q: Does the origin lie on the polar curve r = 1 – 3cose ? Explain.

A: We will first plot the polar curve in the 2D (r,θ) plane with polar coordinates. We shall plot it…

Q: Which of the following polar equations describes a circle centered at (G, 5) with radius 2 O r =…

A: Given, center=(12,12) radius=12

Q: Consider the polar curves C₁ and C₂, where: • C₁ is the upper half of the circle r = cos 0. • C₂ is…

A: It is provided that: C1 is the upper half of r=cosθ and C2 is the petal of r=cos4θ. We need to…

Q: the graph of polar function r = 2+3 cos 0 on a polar plane.

A: We have to draw the graph of the given polar function in the polar plane.