The interval of convergence of the series (4x-12)" is Zn=0 -3)-+" (n+1) Select one: True O False

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Q: Find (9x? - 8x + 2) dx. (9x² - 8x + 2) dx²

A: We know, ∫xndx= x(n+1)/(n+1) +C , C is a constant and for any real number n.

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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: G В R K + Match each equation with a graph above E 4(1.49)" a. blue (B) |- v |2(1.22)* b. orange (0)…

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Q: The following integral may be solved using substitution. Choose a function u that may be used to…

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

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A: Given

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Q: X+ 0.4Inx 04. lim, X+3lnx

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Q: Let -1 <r< 1, the series r na" is the power series representation of the n-1 function

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Q: Use the tabular method to evaluate the integral |(x3 + 2x – 1) cos(4x)dx

A: To evaluate the following integral using tabular methodI = ∫x3+2x-1cos(4x)dx differentiable function…

Q: 14. %24

A: For determining the continuity of a function from its graph , we need to examine whether the graph…

Q: Find the plane determined by the intersecting lines.

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Q: V1. y=x' +1, the axes, x=3; 0X 1 y =-, , y-axis , y=1 & y =3 ; OY

A: Here we have to find the volume.

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A: We need to find the integral : ∫0πsin (x)dx

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Q: 3. Evaluate the integral x³ - 2x? – 4 dr x³ – 2x? |

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Q: 27T 5. = y² and x + y = 2 is revolved about y = 1. (Answer: c. u.)

A: Solution is given below:

Q: 8" n=1 /-

A: this is converegent so the sum S = 1/(1-8) S = -1/7 S = -0.1429

Q: 1 Evaluate the integral [(3r*) i + (9) j + (5t + 3) k] dt. 1 [(3r*) i + (9) j+ (5t + 3) k] dt = () I…

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Q: Find dy/dx if y = log10(x² + 1)² D. dy/dx = log1o e (x² + A. dy/dx = 4x(x² + 1) 2x log10 e В. dy/dx…

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Q: Evaluate each Laplace transform. Write your answer as a function of s. (a) L{2t³ – cos² 5t} (b)…

A: We have to determine Laplace transfer  As per Bartleby guidelines we have to solve 1 question if you…

Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

A: topic- limits

Q: Find the point at which the line meets the plane. x = - 3 + 5t, y = 3+ 6t, z = - 2 + 3t; x + y +z =…

A: Given ; Line meets plane = ?   x = -3 + 5t   y = 3 + 6t   z = -2 + 3t   Plane;        x + y + z =…

Q: Find the velocity and acceleration vectors in terms of u, and ue. do a0 r= 9 e and :3 dt v=Ju, +Jue…

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Q: 1 х-х2 dx -8 2

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Q: You measure 43 dogs' weights, and find they have a mean weight of 34 ounces. Assume the population…

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Q: II. Find the area bounded by each of the following curves. Show your complete solution. Write your…

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Q: 4 Evaluate f². dx 4-x*

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Q: Find the indicated derivative and simplify. 2x - 4 y' for y = 2 + 8x %3D

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Q: Evaluate the integral |- 5x + x3 - 2 x5 dx 3

A: Topic:- integration

Q: 3- Jッ 2X e dy + 2 (y ē -x) dx =0. dy よx 4- Sinx + cosx y = tan x

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Q: Solve the initial value problem for r as a vector function of t. d'r Differential equation: = - 18k…

A: Given

Q: 4. A ball rolls horizontally off a cliff at 10 m/s. It takes 20 seconds for it to hit the ground.…

A: height = (1/2)gt2 +v0t  but here v0 = 0 for initial  height = (1/2)gt2 height = (1/2)(9.8)(20)2…

Q: x - 2x +4x–8 Draw a graph of the function R(x) = Justify all major features using limits. x -11x+18

A: To solve the following problem

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A: We need to evaluate limit.

Q: Find the slope of the tangent line to the curve - 22? – 3xy – 4y = 115 at the point (1, – 3).

A: The detailed solution is given below Thank you

Q: x/2 2. dy Sin x dy +34 2- X 2

A: A detailed solution is given below

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A: we have to find the limit

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A: To determine whether the given integral converges or diverges.

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: 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: 1/2 dx 1-х4

A: Let 1-x4 = t