Find the area bounded by the curves x=y²,x+y-2=0
Using Green's theorem,evaluate ∮c(x+y)dx+ x²dy, C is the triangle
with vertices at (0,0). (2,0) and (2, 4), taken in that order.
Find the work done by a force F= -xyi+y²j + zk in moving a particle over the circular path x² + y² = 4, z = 0 from (2,0,0) to (0,2,0)
Find the constants a, b, c if the vector F = (2x+3y+az)i + (bx+2y+3z)j + (2x+cy+3z)k is conservative.
Evaluate ∫y=0^{1}∫x=y^{√2-y^{2}}y/√x^{2}+y^{2}dxdy ,by clange the order of integration.
Solve ∫y=0 ^ 1 ∫x=y^ 2 ^ 1∫z=0 ^ 1-x x dzdxdy ?derive the problem with step by step?