The temperature of water in a tub at time tis modeled 0, the temperature of the water is 55°F. The water is he 20 Use the data in the table to evaluate W'(t)dt. Us

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A: Solution

Q: (c) Find the differential of the function: l =e"sin(s+ 21 )

A: Since you have asked multiple questions in a single request so we will be answering only first…

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A:

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A: Explanation of the answer is as follows

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A:

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A: Given:   To find:

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A: This question is based on implicit differentiation.

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A: vt=3t12+4

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A: 12) a(t)=3cost-2sint, v(0)=4, s(0)=0 13) a(t)=a, v(0)=v0, s(0)=s0.

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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.