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Donnie Smith Sharma MAT 266 ONLINE B Spring 2017 Assignment Section 9.4 due 04/28/2017 at 11:59pm MST 1. (1 point) Find the area enclosed by the curve r = 9(1+cos(θ)). Area = Answer(s) submitted: •

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Donnie Smith Sharma MAT 266 ONLINE B Spring 2017 Assignment Section 9.4 due 04/28/2017 at 11:59pm MST 1. (1 point) Find the area enclosed by the curve r = 9(1+cos(θ)). Area = Answer(s) submitted: • 121.5pi (correct) 2. (1 point) Find the area enclosed by the polar curve r = 9e 0.8θ on the interval 0 ≤ θ ≤ 1 9 and the straight line segment between its ends. Area = Answer(s) submitted: • (incorrect) 3. (1 point) Find the area enclosed by one loop of the lemniscate with equation r 2 = 49 cos 2θ shown in the figure. Choose your limits of integration carefully. With r0 = 7 Answer : Answer(s) submitted: • (49)/(2) (correct) 4. (1 point) Find the area inside one leaf of the rose: r = 6 sin(4θ) The area is Answer(s) submitted: • (9pi)/(4) (correct) 5. (1 point) Find the area of the inner loop of the limacon with polar equation r = 9 cosθ−6 θ1 = cos−1 6 9 Answer : Answer(s) submitted: • 124.715 (incorrect) 6. (1 point) Find the area of the region inside: r = 6 sinθ but outside: r = 1 Answer(s) submitted: • (1)/(2)[17pi-34sinˆ(-1)((1)/(6))+sin(2sinˆ(-1)((1)/(6)] (incorrect) 7. (1 point) Find the exact length of the polar curve described by: r = 4e −θ on the interval 7 2 π ≤ θ ≤ 6π. Answer(s) submitted: • (incorrect) 8. (1 point) Find the exact length of the polar curve r = 3 sin(θ), 0 ≤ θ ≤ π/3. Length = Answer(s) submitted: • (incorrect) 9. (1 point) Find the exact length of the polar curve r = θ 2 , 0 ≤ θ ≤ 2π. Length = Answer(s) submitted: • (incorrect) 10. (1 point) Find the area of the region bounded by: r = 9−2 sinθ Answer(s) submitted: • (incorrect) 11. (1 point) Find the area of the region outside r = 6+6 sinθ , but inside r = 18 sinθ. Answer(s) submitted: • (incorrect) 12. (1 point) Find the area of the region that lies inside both curves r = 4 sin(2θ), r = 4 sin(θ) Area = Answer(s) submitted: • (incorrect) Generated by c WeBWorK, http://webwork.maa.org, Mathematical Association of America 2

 
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