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A: Definite integration property

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A: Consider the function  f(x)=3x

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A: answer is in next step

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A: Given,             limx→1x2-4x+3x2-x

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A: Here I am providing my handwritten solution.

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A: We have to find the equation of tangent.

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A: To find out the rate of change if distance between Reden and Neil after 2 seconds.

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Q: Suppose f(x) = x² – 10x + 1. Compute the following: - A.) f( – 2) + f(4) = B.) f( – 2) – f(4) = -

A: Given query is to find indicated function value.

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A: Given problem:- f(x) =  4x5 -5x4 -40x3 +5 To find:- a). Critical points  b) Use the First Derivative…

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A: Given (5,0)=(h+c,k)    hence k = 0(-5,0)=(h-c,k)h+c=5h-c=-52h=0h=0Therefore (h,k)=(0,0)

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

A: Green's theorem states that for  counterclockwise direction∮CPdx+Qdy=∬R∂P∂y-∂Q∂xdxdy

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A: solution

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A: Use the auxiliary equation for finding the other roots and general solution.

Q: Find div F and curl F if F(x, y, z) = 9y%z®i – 4x°z1°j – 5xy°k. - -

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A: We can answer and explain the answer as below.

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Q: EVALUATE. 2022 a) x n (xl dx dx 2x+3x+7 dx (x+1) (x² +S)

A: This question can be solved by applying the concepts of indefinite integrals.