QUIZ 1 Question 1 a. b. c. Evaluate the line integral x ds where C is the curve given by x t3, y c 2tl for 3x2y+y3 dx+ xy2 +x+l dy where R is the boundary Evaluate the line integral of the region bounded by the lines x = 0 and y = 0 and the curve y = I x2 , traversed anti-clockwise. Evaluate the line integral f ( x sin x sin y)dx + (y + cos x cos y)dy where S consists of the line segments: l. from (0, 0) to (l, 0) , 2. from (l, 0) to (l, l) , and 3. from (1,1) to (2,1) . Question 2 Find the divergence and curl of the following vector fields. a. b. F(x, y, z) 2ycoszi sinzj+ xe k x G(x, y, z) z k