4. Find the volume of the solid that lies under the paraboloid z = x? + y² and above the region R in the xy-plane bounded by the line y = 2x and the parabola y = x².

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A: Using limit comparision and p test.

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A:

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A: Given

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A: The below image has all the steps

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A:

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A: This can be solved as follows:

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A: To determine whether the given graph represents a function.

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A:

Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

A:

Q: determine which statement is true (A) Not a function (B) Function; domain: R (C) Function;…

A: Graph÷

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A:

Q: Solve for n in permutation 9(n²-1Ps) + 9(7²P6) = n²+1 P7 %3D

A: Let's find.

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A:

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A:

Q: Find the nth derivative of y = In(16x2 – 9).

A: Given y=ln(16x2-9)

Q: Q2// Solve the following differential equation: e²y dx + 2(xe²y – y)dy = 0

A:

Q: (4n². En=1 2 - 2n + 6, - limit comparison test -1 (8,² + n – 8) 7

A: The given series,      ∑n=1∞4n2-2n+68n7+n-8

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A:

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A: Follow the procedure given below.

Q: Solution

A:

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A: 1) Here, to find the 11th item.  Now, the cost of x quantity is given by: C(x)=25x2+4x+1

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A:

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A:

Q: Given the three vectors å ,b and ở in 3D. The following question is t termine if operation involving…

A: We can solve this as follows:

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A:

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Q: 16. بين ما اذا كانت تقع النقطة N على المستقيم AB ام خارجه N=( 2,1.5,3 ), B ( 0,1,2), A ( 4,2,4)…

A:

Q: A rectangular solid (with a square base) has a surface area of 37.5 square centimeters. Find the…

A:

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A: Let us sketch the situation roughly using these following information: N = North, S = South, E =…

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A: We have to solve above question

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A:

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A:

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A:

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A: A detailed solution is given below.

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A:

Q: determine which statement is true

A: Follow the procedure given below.

Q: Find the n-th Taylor polynomials for 1 about x = 3 and express it in f(x) = x+ 2 sigma notation.

A: Taylor polynomial of nth degree of f(x) centered at 'a' :          f(x) = f(a)…

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A:

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A:

Q: Solve the following set of equations with LUdecomposition: 3x1 – 2x2 + x3 = -10 2x1 + 6х2 — 4хз — 44…

A:

Q: 5. A reservoir is 80m long and its cross section is an isosceles trapezoid having equal sides of…

A: We need to find rate of water leaking.

Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

A:

Q: Evaluate the integra 4 X - 5 /1

A: