6. What is the volume generated when the area in the first quadrant bounded by the curve x2 = 8y, the line x = 4 and the x-axis is revolved about the y-axis? %3D

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Q: please solve it fast )

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Q: carefully apply the Integral Test to determine all values of p for which the series In(n) n=1 is con...

A: Given problem:-

Q: VI. Give the Maclaurin series expansion of f(x) = ln(2 – 3x). Determine its interval of convergence....

A: Note that, the Maclaurin series of ln (1-x) is: ln (1-x)=-x-x22-x33-x44-...           ...(1) which i...

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A: Find your answer below 

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Q: Determine whether the improper integral diverges or converges. dx

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Q: What is the Maclaurin series expansion of f(x) = ln(3-2x)? Find its interval of convergence. Approxi...

A: The Maclaurin series expansion of ln (1-x) is: f(x)=-x-x22-x33-x44-...          ...(1) And is conver...

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A: P(x)=-x23+2x12-6x7-5x4-1D(x)=x+1x+1=0x=-1

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Q: Let the region R be the area enclosed the function f (x) = 3x3, the horizontal line y = 6, and the y...

A: Given:-the region bounded byf(x)=3x13y=6 and the y-axisrevolving about the line y=6using washer/disk...

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A: Topic = Integration

Q: е. f(x) 3D (2x3+ 4)5

A: "Since you have asked multiple questions. We will solve the first question for you. If you want any ...

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A: Congruence

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Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select ...

A: We have to find the value of c by mean value theorem

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Q: Find the indicated derivative by finding the first few derivatives and recognizing the pattern that ...

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Q: Find all volves of o,b ond c such that the func Ef×メ goo)= てメー1) 1チxg? 21 if x= 1 is continuous at x...

A: Given

Q: 1 17. dx .2 + 4x + 5

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: 3. The Chain Rule. Solve Dx (2x2 + 2)* V2x CSC X

A: This is a problem of differentiation of the function. Based on below formula we will calculate the d...

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A: topic - indefinite integral

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A:

Q: f(æ) = (62² – 5)*(5æ? – 3)" - f' (x) =

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Q: Consider the indefinite integral *7x³ + 9x² + 12x + 24 -dx x4 + 4x2

A: Given,            ∫7x3+9x2+12x+24x4+4x2To find : The partial fractions decomposition.

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A: topic-  implicit differentiation 

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A: We have to check weather the given Integral is converges or diverges.

Q: Sin(2x)-TT find derivative

A: We can find the derivative as below using quotient rule.

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A: Average of a function f(x) over a interval [a,b] is given by f(b)-f(a)b-asee below the answer  

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Q: 1. (Rew Echelon and Reduced Ro w Echelon Form). Which of the folowing matrices are in row echelon (R...

A: Note: A matrix is in row echelon form (RE) if it satisfies the following three properties:1. All non...

Q: 00 6. nニ)

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Q: Find the absolute maximum value of f(x) = 2x In and say where it is assumed. %3D | The absolute maxi...

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Q: Find the critical numbers of the function f(x) = 2x3-15x2+36x - 24. %3D O a -2 and3 O b. 2 and 3 Oc....

A: Topic = Algebra & Derivative

Q: Given f'"() = – 16 sin(4z) and f'(0) = – 3 and f(0) = – 2. Find f): Question Help: Message instructo...

A: topic - functions and integration

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Q: Differentiate the function. 1,2 g(x) = 6. 6x + 15 | g'(x) = %3D

A: topic - derivative of a function

Q: Find the general solution of the given second-order differential equation. 3y" + 2y' + y = o y(x) -

A: Solution:3y''+2y'+y=03D2+2D+1y=0Auxiliary equation 3m2+2m+1=0m=-2±22-4×3×12×3=-2±22i2×3=-1±2i3m=-13±...

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Q: (1) Suppose you lift a stone that has a mass of 5.1 kilograms off the floor onto a shelf that is 2.5...

A: "Since you have asked multiple questions. We will solve the first question for you. If you want any ...

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A: