MATH 504- Multivariable calculus 1. Find the divergence and curl of the following vector fields a. F = (1/y³)j b. F=y³z³

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MATH 504- Multivariable calculus 1. Find the divergence and curl of the following vector fields a. F = (1/y³)j b. F=y³z³

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Math 504 Multivariable Calculus 1 Find The Divergence And Curl Of The Following Vector Fields A F 1 Y J B F Y Z 1
Math 504 Multivariable Calculus 1 Find The Divergence And Curl Of The Following Vector Fields A F 1 Y J B F Y Z 1 (37.72 KiB) Viewed 51 times
MATH 504- Multivariable calculus 1. Find the divergence and curl of the following vector fields a. F = (1/y³)j b. F=y³z³i+ 2xyz³j+ 3xy²z²k F=xyz²i+xyz²j+x²y²zk c. 2. Find the gradient of the following functions a. F = x²sin(5y) b. F=xyz c. F=x³e +ex 3. Evaluate the following multiple integrals a ff*(1 + 8x)dydx (20 Marks) (10 Marks) fxcos(xy)dydx (10 Marks) 4. Evaluate the following integral fff 8xyzdv in the region R where R.: 25x3, 1sys2, 0≤x≤1 (10 Marks)
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