At time t in seconds, a particle's distance s (t), in cm, from a point is given in the table below. What is the average velocity of the particle from t = 3 to t = 10? 3 6 10 13 s (t) 61 92 122 180 Round your answer to three decimal places. The average velocity of the particle from t = 3 to t = 10 is i cm/sec.

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Q: Part D and E

A: d) Differentiate the given function with respect to t.

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A: Please refer the attached image for complete solution.

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.