b)I bounded by y 2 0, z 2 0, x > 4z, and 16 > x + y. Evaluate the following triple integral: Let E be the solid that is I. -4z dV.

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A: We can answer the question as below

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A: We need to choose correct option.

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A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

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A: This question is based on integral by parts.

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A: Let's find.

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A: I=∫12 t8-t4t6 dt=∫12 t2-t-2 dtformula: ∫ xn dx=xn+1n+1+C  =t33-t-1-112  =t33+1t12    =83-13+12-1…

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A: Given :f'(x)=(x-1)e-x

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A: first we will take x common from numerator and denominator, then take limit.

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A: As per our guidelines we will only solve question number 1,2 and 3.If you want more answers of other…

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A: answer is in next step  . as per guideline i can answer only 3 subpart .

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A: Given :y=x2+1   0,1

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A: Given problem:- Suppose 200 trout are seeded into a lake. Absent constraint, their population will…

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A:

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A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

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A: The weekly demand for the PULSe 25 LED TV is p=600-0.05x0≤x≤12000, where p denotes the wholesale…

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A: Solved below.

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A: We have to evaluate the integral of F(x, y).

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A: Let's find.

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A: Here, the given function is: f(x,y)=1;   (x,y)=(1,-1)x2+yx+y; (x,y)≠(1,-1) lim(x,y)→(1,-1)

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A: To find the center, transverse axis, vertices, foci, and asymptotes. To grapg the…

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A: Application of integration

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A: This is a problem related to integration. based on the general formula and concept we will answer…

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A: Here we have h(x,y)=x3-3x+3xy2 .............................................. (1)

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A: Topic:- application of integration

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A:

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A: as per guideline i can only answer one question . answer is in next step

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A: As per guidelines, I can answer only one question and maximum three sub parts of a question. Since…

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A: We have to find the solution using eulers equation.

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A: What number is next in the sequence? 2, 4, 16 ...

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A: Here we have to find the polar equation which produces a Spiral of Archimedes.

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A: