Question 1

Evaluate the line integral

Cydx+2xdy

for each of these three curves C: C₁ : The straight line segment in the plane from A (1, 1) to B (2, 4) C₂ : The plane path from A (1, 1) to B (2, 4) along the graph of the parabola y = x² C₃ : The straight line in the plane from A (1, 1) to Q (2, 1) followed by the straight line from Q (2, 1) to B (2, 4)

Question 1 Evaluate the line integral f ydx + 2xdy for each of these three curves C: C1 The straight line segment in the plane from A (1,1) to B (2.4); C2 The plane path from A (1,1) to B (2,4) along the graph of the parabola y =x2; C3 The straight line in the plane from A (1,1) to Q (2, 1) followed by the straight line from Q (2.1) to B (2.4).l Question 2 Find the work done by the inverse-square force field kr k(xi + yj + zk) F (x, y, Z ) = 7-3 (x2 + y2 + z2) 2 in moving a particle along the straight line segment C from (0,4, 0) to (0,4, 3).|