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Consider the polar curves C₁ : r = 2 - cas 0 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 8 = T₁ but (4.) Set up. 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:r = 2 - case C₂:r = 2 + 2 cos >N|2 2 3

Consider the polar curves C₁ : r = 2 - cas 0 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 8 = T₁ but (4.) Set up. 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:r = 2 - case C₂:r = 2 + 2 cos >N|2 2 3

Advanced Engineering Mathematics
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
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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