(1 point) Find the length of the spiraling polar curve r = 5e30 From 0 to 21. The length is
Find the exact length of the polar curve. r=θ₂, 0≤θ≤π/2
2, (20 pts) Consider the polar curve r-2 + cos48 for 0 θ 2n (a) Graph this curve and determine the points farthest from the origin. What values of 8 give these points? (b) Determine the points closest to the origin, what values of θ give these points? (c) Find the area bounded by this polar curve. (d) Find the length of this polar curve. 2, (20 pts) Consider the polar curve r-2 + cos48 for 0 θ 2n (a)...
(a) Find the points on the polar curve r = 2(1 – cos(0)) where the tangents are horizontal. (b) Find the points on the polar curve r = 2(1 - cos(0)) where the tangents are vertical. (c) Find the length of the curve. FIGURE 3. r = 2(1 - cos(O)).
Find the area of the surface generated by revolving the equation r-2+2cos(0) about the polar axis. Find the length of the curve r 6; from 8-0 to θ Find the area of the surface generated by revolving the equation r-2+2cos(0) about the polar axis. Find the length of the curve r 6; from 8-0 to θ
Question 1 (1 point) Find the length of the spiraling polar curve r = 3e60 From 0 to 21 . The length is (1 point) Find the area of the region that is bounded by the curve r = V6 sin(0) and lies in the sector 0 Sost. Area =
Find the length of the spiraling polar curve T= 2e40 From 0 to 27. The length is
3 TT Find the slope of the tangent line to polar curve r = 7 – 6 sin 0 at the point ( 7 – 6- 2 2 3 TT TT Find the points (x, y) at which the polar curve r = 1 + sin(e), 0 < has a vertical 4 4. and horizontal tangent line. Vertical Tangent Line: Horizontal Tangent Line:
The length of the polar curve r = 5 cos O is Select one: 27 5 ᏧᎾ 211 5 2 cos e de 21 1 - sin’e de TT 3 cos? o de o jis do
Find the slope of the polar curve of the cardiod r=-1+sin 0; 0 = 2