1. Find the divergence and curl of the following vector fields a. F=(1/y2)j b. F=y³z³i+ 2xyz³j + 3xy²z²k c. F=xyz²i+x²yz
Posted: Sat Jul 09, 2022 2:25 pm
1. Find the divergence and curl of the following vector fields a. F=(1/y2)j b. F=y³z³i+ 2xyz³j + 3xy²z²k c. F=xyz²i+x²yz²j+x²y²zk 2. Find the gradient of the following functions a. F=x²sin(5y) b. F = x¹yz c. F= x³exy + 2x 3. Evaluate the following multiple integrals *(1 +8x)dydx a. T A (20 Marks) (10 Marks) b. xcos(xy)dydx (10 Marks) 4. Evaluate the following integral fff 8xyzdv in the region R where R: 2≤x≤3, 1sys2, 0sz≤1 (10 Marks)