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?
Solve dy/dx= 4x² (y-x)² + y/x if y=x is a particular solution.
∫0^∞e^x³ dx is equal to
A) 1/3Γ(1/3)
B) 1/2Γ(1/3)
C) Γ(1/3) D) 3Γ(1/3)
The integral factor of (x²y)dx- (x³ + y³)dy = 0 is,, Choose the correct answer
A) -y^4
B) -1/y^4
C) y^4 D) 1/y^4