a. Use limits to find the derivative function f′ for the function f. b.Evaluate f′​(a) for the given values of a ​f(x)=3/2x+1​; a=−13​,4

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A: Follow the procedure given below.

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A: In this question we have to Integrate using the method of trigonometric substitution.

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A: Explanation of the answer is as follows

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Q: Definite integral

A: Given :Definite integral

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A: This question is based on definite integral.

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A: This question is related to Quadric surfaces, we will solve it using given information.

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A: topic- continuity of a function

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A: SOLUTION-

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A:

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A: Here, given that u, v∈ℝ3 and u·v=π

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A: The given function,  fx=2x3+3x2-4x-5x+1

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Q: Given: f" f(x)dx= 36, [ f(x)dr = 12, 2. Find the ff. numbers: So a. C. f(x)dx b. [ (2f(x) + +12g(x)…

A: Explained below

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A: This question can be solved using the concept of area bounded by curves.

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Q: find a set of parametrix equations of the line through the point (5,6,2) parallel to vector v=

A: find a set of parametrix equations of the line through the point (5,6,2) parallel to vector…

Q: Determine la derivada de ƒ (x) = 5 sec x − √√3 csc x - Llene los blancos (sombreados de azul claro)…

A: I have stated the used formulas in the solution

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A: Given equation is :   x-12+y2= 100 ---- equation of circley=3x+7 --------equation of line

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A: Please see the below picture for detailed solution.

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