A particle moving along a curve in the xy-plane has position (x(t), y(t)), at time t > 0 where v(t) =(-2 ln(t² + 8), – 10e¬8t cos(5t)). Find the speed of the particle at time t 5. Use a calculator and round to three decimal places if || necessary.

Q: 6. An ant crawls along a linear path with a velocity of v(t) = cos(3t) inches per minute. (a) What…

A: Given, Velocity of the ant  v(t) = cos(3t) Let's assume the initital position = x = 0  at time t = 0…

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A: Simply take the derivative and put the given point to find the instantaneous rate of change.

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A: The solution are next step

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A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

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A:

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A: