Consider the polar curves C₁ : r = 2 - cas 0 and C₂: r = 2 + 2 cos 0, 0 € [0, 27). 1 (1.) Show that both C₁ and C₂ are symmetric with respect to the polar axis. (2.) Find the polar coordinates of the points of intersection of C. and C₂ (3.) Find the slope of the line tangent to C₂ at the point where 8 = T 3 (4.) Set up, but do not evaluate the integrals equal to the area and the perimeter of the region S in the figure below) in between C₁ and C₂. C₁=2 cas C₂:r = 2 + 2 cos 0 2/2 -1 2 3
Consider the polar curves C₁ : r = 2 - cas 0 and C₂: r = 2 + 2 cos 0, 0 € [0, 27). 1 (1.) Show that both C₁ and C₂ are symmetric with respect to the polar axis. (2.) Find the polar coordinates of the points of intersection of C. and C₂ (3.) Find the slope of the line tangent to C₂ at the point where 8 = T 3 (4.) Set up, but do not evaluate the integrals equal to the area and the perimeter of the region S in the figure below) in between C₁ and C₂. C₁=2 cas C₂:r = 2 + 2 cos 0 2/2 -1 2 3
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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![Consider the polar curves C₁ : r = 2 - cas and C₂: r = 2 + 2 cos 0, 0 € [0, 27).
(1.) Show that both C₁ and C₂ are symmetric with respect to the polar axis.
(2) Find the polar coordinates of the points of intersection of C and C₂
(3.) Find the slope of the line tangent to C₂ at the point where I = T
(4.) Set up, but do not evaluate the integrals equal to the area and the perimeter
of the region S in the figure below) in between C. and C₂.
C₁=2 cas
C₂:r = 2 + 2 cos
▶N|R
2
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57ecb5ae-9f29-4163-bf6c-6628639e838c%2Fcece3da3-c09e-495d-b7e4-2de777967f63%2Fenla34p_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the polar curves C₁ : r = 2 - cas and C₂: r = 2 + 2 cos 0, 0 € [0, 27).
(1.) Show that both C₁ and C₂ are symmetric with respect to the polar axis.
(2) Find the polar coordinates of the points of intersection of C and C₂
(3.) Find the slope of the line tangent to C₂ at the point where I = T
(4.) Set up, but do not evaluate the integrals equal to the area and the perimeter
of the region S in the figure below) in between C. and C₂.
C₁=2 cas
C₂:r = 2 + 2 cos
▶N|R
2
3
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