Exercise 6.4(1,2,3,4,5)

Calculus 3 (Problems on Green's Theorem)

Question 5 0/1 pt 5 100 99 0 Details If C is a circle of radius 7 centered at the point ( -3, 0 ), then evaluate $ (Ay - esin (2) ) da + (8x - sin(y' + y)) dy. value = TT0 Question 1 B 0/1 pt '0 100 23 99 6) Details Evaluate f icy2da: l w5dy, where C is the rectangle with vertices (0,0), (5,0), (5,4), and (0,4). 0' Q Question Help: El Video 0 Question 2 l3 0/1 pt '0 100 \"(3 99 (D Details Evaluate f ygda: (L'de, where C is the boundary of the region between the circles 332 + y2 = 9 and C 1:2 +3;2 = 16. Question Help: El Video . Question 3 B 0/1 pt '0 100 8 99 6) Details Use Green's Theorem to evaluate / F: - dF, where C F= and 0 consists of the arc of the curve y = 5:1: :32 from (0,0) to (5,0) and the line segment from (5,0) to (0,0). Hint: Check the orientation of the curve before applying the theorem. Question Help: El Video . Question 4 l3 0/1 pt '0 100 2 99 6) Details Find the area of region enclosed by :I: = t t6, 3; = t t2, 0 S t S 1 using Green's Theorem