Find the following using the table below. X 1 f(x) 3 4 1 f'(x) 3 2 4 1 g(x) 132 4 g'(x) 3 4 1 2 2 3 AN h'(2) if h(x) = = 4 NA 2 h'(2) if h(x) = f(x) · g(x) f(x) g(x)

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A: Given that , u=r2+s2 , r=y+xcost , s=x+ysint Use the chain rule to the find the partial derivatives…

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Given query is to find indicated limits from the graph.

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A: To find the derivative of given function

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A: Please see the below picture for detailed solution.

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A: Given function:- fx=xx-2

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Q: [1] Let f(x) = 3-x², 2, X, x < 0, 0≤x≤2 x ≥ 2 (a) Graph the function f(x). (b) Compute the values…

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Q: Find the limit. lim (e-6ti + t-0 t² sin²(t) -j + sin(6t) k)

A: As we know that, The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The Product rule:…

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Q: Which of the following are geometric series? -

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Q: 4. Consider the initial value problem dr (12t sin (4t))i + (4t√² +1}} +(0) -3i-j (a) Solve the…

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Q: (c) Find the total distance traveled by the body from t = 0 to t = 2. Total distance = 8 m

A: here we have to find the total distance.

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A: We have to draw the graph for given Questions.

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Q: Let f(x) = sin(x5). f'(x) = f'(2) = 0

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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Q: Consider the function f(x), for which f(0) = 4 and f'(0) = -11. Find h'(0) for the function h(x) h'…

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Q: Put the equation y y = (x − h)² + k: Answer: y = = x² + 2x − 3 into the form -

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A: The answer is given below:

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Q: Use substitution to find the Taylor series at x = 0 of the function 3 sin (-x).

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