Question
Asked Jan 23, 2020
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If C is the curve given by r (t) = (1+2 sint)i+ (1+ 2 sin? t)j+ (1+1 sin' t) k,
0<t< and F is the radial vector field F (x, y, z) = xi + yj+ zk, compute the work done by F on a
particle moving along C.
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If C is the curve given by r (t) = (1+2 sint)i+ (1+ 2 sin? t)j+ (1+1 sin' t) k, 0<t< and F is the radial vector field F (x, y, z) = xi + yj+ zk, compute the work done by F on a particle moving along C.

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Expert Answer

Step 1

Given:

Calculus homework question answer, step 1, image 1
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Step 2

Compute the derivative of r(t) as shown below.

Calculus homework question answer, step 2, image 1
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Step 3

The work done is obtained ...

Calculus homework question answer, step 3, image 1
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