Find the coordinates of the centroid of the solid generated when the smaller region bounded by x2 + y? – 4ax = 0 and x + y = 4a is revolved about x = 0.

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A: Topic = Integration

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A: Given integral ∫xx+103 dx 

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A: Follow next step

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Q: List the critical numbers of the following function separating the values by commas. f(x) = 5x² + 3x

A: We can find the critical numbers as below.

Q: 3 dx V9 – x2

A: We know that, ∫dxa2-x2=sin-1xa+C   ∫03dx9-x2=∫03dx32-x2                    =sin-1x3+C Now applying t...

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A: This question is based on integration by parts.

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A: Given,            ∫y2sinydy

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Q: triple integral of  3xy dV, where E lies under the plane z = 1 + x + y and above the region in the ...

A: Let's find. 

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A: This question can be solved by first plotting the graphs to get the feel of the area enclosed.

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A: f(x)=x4-7x3/2 Differentiating with respect to x f'(x)=ddx(x4-7x3/2)=ddx(x4)-7ddx(x3/2)=4x4-1-7*32x3/...

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Q: Find the length of the arc of the curve 9y? = 4x³ from the origin to the point (3,2v3). %3D

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Q: Solar Panel Power Output The graph of the function f shown in the accompanying figure gives the aver...

A: To answer the given equations using the graph.

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A: This question is based on summation problem.

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Q: Find the derivative of the following function: g(b)=(3b-4)/(b+5)•(2b+5)

A: This question is based on quotient rule of differentiation.

Q: (:)? /3 9. Which of the following is equal to (b) (–1)"-12·5., 3"n! 3.5-7..... (2n + 1) (Зп — 4) ......

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A: Use property of inequality and solve for x value.

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A: Evaluate indefinite integral.

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A: We can find the required answer in the following steps

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Q: х dx e 2

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Q: Find all absolute maxima and minima for the function y = x + sin(x) on the interval [0, 27].

A: Given function y=x+sinx    ;  0 , 2π

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A: The solution is given in the next step.

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Q: 1. х +Зу %3Dу? +4 А. - в. В. С. D. 3-2y 3-2y 2-3у 2-3у 2. 4у- 2х 3 Зx? 3x+1 2x+1 2x+1 3. А. 3x+1 в. ...

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A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

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Q: 1 The time to failure, t, in hours, of a machine is often exponentially distributed with a probabili...

A: The probability density function is: f(t)=ke-kt, 0≤t&lt;∞ where k=1a and a is the average amount of ...