Question

Let r(t) = 4sin3ti + 6j − 4cos3tk. Compute ||r′(t)|| and then in words explain what...

Let r(t) = 4sin3ti + 6j − 4cos3tk. Compute ||r′(t)|| and then in words explain what you would expect to value of r(t) · r′(t) to be and why. Then actually compute r(t) · r′(t).

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Answer #1

Note: to find the r'(t) we differentiate r(t) term by term.

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