a) Sketch the region S enclosed by the curves y = Vx – 1 and y = (x – 1)?. %3D b) Find the Area of the region S.

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A: We will find the partial derivative.

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A: We can find the range and graph the polynomial as below.

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A: Given query is to find the value of the integral.

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: 【コxマー52

A: Given problem:- ∫x2x2-53dx

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A: topic - application of derivatives

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A: Topic = Functions

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A: We need to eliminate ∆x from the denominator else the limit does not exist.

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A: This question can be solved by applying the concept of differential equation.

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Q: 2

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Q: Integrate the following:  use the U-substitution. ∫ (x2+5x)dx/4√x+9

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A: as per our guidelines we can answer only 1 question do kindly repost the remaining questions…

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A: This question can be solved using the concept of combination.

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