Detemine o number of derms n in.cacn Orithimetic Series an=166 Sn=1440 =26 A.n=23 B.n=15 D:nニ192

Q: For the given power series, which one is the interval of convergence? x2n Σ (-3)" n=1

A: We can solve this as follows:

Q: find eigenualy gse for -57 to -구 -4 26

A: I have appended the formula used in the solution part.

Q: 28. y' ry + 1; (ry+ 1)dr- dy 0 29. dr- dy 0 %3D

A: Differential equations

Q: 2. Determine if the following integral converges or diverges. If the integral converges, find its…

A: We need to check whether the given integral converged or diverges.

Q: 1. Using the vectors u = [4, -3] 3 = [7, 1] and w = [-5, 3], evaluate the following, if possible. If…

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Q: 9) Sand falls from an overhead bin, accumulating in a conical pile with a radius that is always…

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Q: f f(X) = sin 2x then f(X) = CoS (2x) f f(X) = sin 3x then f(X) = -3 cos (3x f f(x) = 2 cos x then…

A: a. Given f(x)=sin2x   Then f'(x)= 2 cos2x    B.   F(x) = sin3x       F'(x)= 3 cos3x

Q: be the solid enclosed by the paraboloid z = -x² – y² and the cone 2? = x² +y?,z > 0.

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Q: if the Flo)==

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Q: 3 2. Find the area bounded by the two curves y = x°- 6x²+ 8x and y = x- 4x.

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Q: Geometric Sequence A. Find the indicated terms of the following geometric sequences. 1. 12, 6, 18,…

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Q: 14. xdx + sin? () [ydx – xdy] = 0 %3D

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Q: Evaluate the integral: /3 arctan () da *Input answer as decimal round-off to 2 decimal places.

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Q: A Evaluate the following integrals. 1. fx² In x dx 2. S tan-ix dx

A: Let I=∫ x2lnxdxApply integration by part,I=ln(x)∫x2dx-∫ddx(ln(x)∫x2dxdxApply power rule…

Q: n the appropriate interval of convergence, we know that then we can deduce, by applying the ormula…

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Q: Two skaters push a person sitting in a chair along the ice. The forces exerted by the skaters are…

A: We have to find the resultant vector.

Q: Evaluate the integral x³ - 3– 2x2 - 4 dx x3 -2x2

A: We have to find integration in this question.

Q: Q1: Find the Integration using Gamma Function Method: 00 x*e-3xdx

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Q: Jx cos 3x dx Using Integration by parts, what should be the u and the dv? O u = xdx, dy = cos 3x Ou=…

A: Given : ∫xcos3xdx    To Find : Value of u and v in integration by-parts

Q: Evaluate the integral: t3 Express your answer in decimal. Round off to 2 decimal places.

A: I have stated the used formula in the solution

Q: Evaluate the integral: - *Input answer as decimal round-off to 2 decimal places.

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Q: Evaluate the following indefinite integral. dx dx = (Type an exact answer.)

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Q: 9. (2xy – sec²x)dx + (x² + 2y)dy = 0 |

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Q: Please

A: We will solve the integration.

Q: Fill in the blanks: The derivative of a product of two functions is the first function times the of…

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Q: Find the slope of the tangent line to the curve — 4г* + 4гу + 4у — 92 at the point ( – 1, 3).

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Q: The following power series represent the function f(x) = 6. %3D 1+7x* E 6(-7)"x+". 4n n=0 Select…

A: Topic:  Infinite geometric series The sum of the series ∑n=0inf rn = 11-r

Q: Suppose that f(x, y) = x? – zy + y² – 3z + 3y, with domain D constrained by the lines y = z, y = 0 ,…

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Q: Find the area between the curves. 2 y =x - 10. y = 8 - 3x The area between the curves is (Type an…

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Q: 1. Disk Method a. y = x2,x = 0, x = 2, y = 0, about the x ахis а.

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Q: dA; R= {(r,y): 0srs1,1 sys 4}.- %3D IR

A: Topic: Double integration over a region R

Q: A window consists of a rectangle surmounted by a semicircle. If the perimeter of the window is 32…

A: We have to calculate radius and height

Q: Find dx in each of the following. dx2 x= e' cost b. y=e' sint a. y = t-1

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Q: Evaluate dx -31 x a,

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Q: Evaluate f e 1 dx 3 x

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Q: Find the derivative of y = Arccot (tan 2x).

A: The objective of the question is determine the derivative of the given function.

Q: If f(x) = v4x + 1 find f"(2). %3D

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the value or values of x for which the given function has a maximum or a minimum value. (Use…

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Q: The graph of y = f(x) is given below. Evaluate | f(x)dx 6+ 3- -1 -2 -3 -4 y = f(x) -6+

A: Application of integration

Q: 9. (2xy – sec?x)dx + (x² + 2y)dy = 0 10. (x + 3x³ sin y)dx + (x* cos y)dy = 0

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Q: Use n= 4 to approximate the value of the integral by the following methods: (a) the trapezoidal…

A: The given integral is 5/x2 limit from 1 to 4.

Q: Find the values of Xx, y and z that correspond to the critical point of the function: z = f(x, y) =…

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Q: Verify if y = 2eX + x - 1 solves v' = x -v |

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Q: y"+y'=t ; where y(0)=1 and y'(0)=-2||

A: Here, the given DE is: y''+y'=t Taking Laplace transform on both the side:…

Q: show that g(x) = (1/2)x has a unique fixed on [0,1]

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Q: Evaluate: | V12 – 2| +x dx

A: Explanation of the answer is as follows

Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

A: For given curves washer method can not be used. Answer with disk method

Q: Evaluate the following integrals. Please give me complete, neat, and organized solutions and boxed…

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Q: 37. A 10-m ladder rests against the wall of a house. The foor of the ladder on the ground is 1.3 m…

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Q: Test whether the differential equations are exact and solve those that are. I- y = %3D 2yt+1 -2xy…

A: Given