If z = xy² and x = e sin(t), find the following derivative using the chain rule. Enter your answer as a function of t. dz dt = and y = -tsin² t(sin t - 3 cos t) -e

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Q: Proof 5.5: ★ Prove S Σ()(2)-() k>0 n

A: Since you have asked multiple question, as per company policy will solve the first question for you.…

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A: determine the following by using graph

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A: We can find the required values in the below steps.

Q: Do NOT use the difference quotient, find the derivatives via formula. f(x)=2/x9

A: See this solution in below.

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Q: 10. Show that the limit of the function f(2)= (-³)* asz tends to 0 does not exist.

A: To show that the limit of the function fz=zz2 as z tends to 0 does not exist.

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Q: What is the second derivative of y = tan² x O2+8 sec² + 6 tan¹ z O2+8 tan² z +6 (tan² z) (sec² x) O2…

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Q: >Consider the function shown in the figure below. 46 95 44 43 42 41 ye x0 x1 x2 x3 x4 x5 x6 (a)…

A: This is a problem related to slope of the line. Please follow the procedure given below.

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A: Given the equation:- x=600-p-4pp+2    -----(i)

Q: with

A: Please refer to the image below

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A: I am attaching image so that you understand each and every step.

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Q: (Initial Value Problems) Solve the following initial value problems: dN (a) d = t-, t≥ 0, N (0) = 60…

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