valuate the triple integral. 6xy dV, where E lies under the plane z = 1 + x + y and above the region in the xy-plane bounded by the curves y = Vx, y = 0, and x = 1

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A: slop, and tangent line

Q: 18) 4y"+4y'+17y=0

A: Given: 4y''+4y'+17y=0 So, we can also write as; 4D2+4D+17y=0 The auxiliary equation is: 4m2+4m+17=0

Q: Q9/ Find the centroid of the region enclosed by the cardioid r = 1 + cos 0.

A: 5/6 centroid

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A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

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Q: III. For each of the following series, determine whether it is convergent or div your answer briefly...

A: We have to consider the given series are convergent or divergent

Q: dx 3— 2л — т2

A:

Q: Q4/ Find the centroid of the triangular region cut from the first quadrant by the line x + y = 3.

A: Topic:- geometry

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A: To check: Whether the integral converges or diverges. Given information: The integral is ∫16 2x-545d...

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Q: +00 1 4n2 – 8n + 3 n=1

A: The given series,       ∑n=1+∞14n2-8n+3

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Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: Evaluate the integral -drz.

A:

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Q: Show the solution that a,+1 < a, for each n E N (-1)" п! n=1

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Q: 1. Create a Table of Values to find the limit of each function. (Use at least 3 distinct values of x...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

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A:

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Q: If y=3xe , then what is d²y. 3x dx 2

A: Let's find. 

Q: ) You are an accountant for a manufacturer of radios. The demand function for the tablets is p= 40-4...

A: Find your answer below 

Q: dy given the equation a+y° = e. dz Use implicit differentiation to determine dy %3D dz > Next Questi...

A: dfx±gxdx = d(f(x))dx± dgxdx dxndx=n.xn-1 dexdx=ex

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A: Solution is here

Q: nyn (a) ► n² + 2-n n=1

A:

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A: Given

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A: Formula:lnab=ln(a)-ln(b)

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A: The hypotenuse of a right triangle is 14 m. To find its perimeter if its area is a maximum.  

Q: Find vector V such that the vector has a length of 16 and makes an angle of n/3 with the x-axis.

A: Given problem:- Find vector V such that the vector has a length of 16 and makes an angle of π/3 with...

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Q: Find the critical numbers of the function f(x) = 2x3 -15x2 + 36x - 24. O a -2 and 3 O b. 2 and 3 O c...

A: As per guidelines we are bound to solve first question only... Thank you

Q: Consider the function f(z) = 4 8z on the interval [- 1, 4]. Find the average or mean slope of the fu...

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Q: Given the following multiplication problem Equation 1: - 24V,=-8V2 -24 8 gives us equations -2 Equat...

A: From the matrix, we have the eigenvalues as  λ1=-26λ2=0 When, λ1=-26 the eigenvector is μ1=-41

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Q: 17 Find the exact value of cos20 given csc0 and -< 0 < TI 8.

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Q: Differentiate f(x) = arcsin(3x). Use exact values. %3D f'(x) =

A: Solution is written in below steps.

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Q: 10) y"-9y 0, y(0) = 2, y'(0) = 0

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Q: Find the area under the curve 2.5 y = 1.5x %3D from x = :7 to x = t and evaluate it for t = 10, t = ...

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