A series has n-th partial sum given by sn = 9+2e . Calculate the sum of the series. an n=1 Σ an

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A: ∫ex-3dx/x4 now substitute u = x-3 du/dx = -3/x4 dx = -x4du/3 ∫ -eudu/3 (-eu)/3 + c now put value of ...

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A: Solution of given integration question is written in below steps.

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Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... %3D

A: The given expression is 0.904818181818....

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A: ln(a/b) = lna - lnb

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A: As per bartleby guidelines we only give first question answers. (All are separate questions. )  

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: Question : Find the general term of the sequence starting with n=1 . Determine whether the sequence ...

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A: Dear learner, as per our guidelines we can provide the solution for first one only. Kindly post othe...

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A: To solve the following integral, we use substitution method

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 6 1 Pala) =...

A: Given,            fx=lnx , n=4 , c=4To find : The nth Taylor polynomial for the function at n=4, cen...

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Q: Using appropriate substitution, the integral S ex3 dx is equal to: X4

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Q: Use the Product Rule or Quotient Rule to find the derivative. f(x)=(−3x3−5x12)(−4x13−5)

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Q: x2-7 2. S dx х3-12х+16 9y+14 3. S (y-2)(y²+4) ay 4. S х3-х2+1 dx (x2+2х+2)2

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A: As per bartleby guidelines we only give first question answers. 

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Q: Find the maximum or minimum value of the quadratic function g(x) = 2x² + 6x + 3.

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Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or...

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Q: Use sigma notation to write the Taylor series about x = 4 for the function. 1 x +1 k =

A: This question is based on Taylor series Sigma notation.

Q: Question * The derivative of the function y = x(tan¬1(3x))² is:

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Q: tan (in |4x2|) dx is bin sec (In |(2x)ªl)| + C. what is ba The integral of A B) 4 © 1 1

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Q: Solve the given initial-value problem. dy + y = In(x), y(1) = 20 dx (x + 2) y(x) = Give the largest ...

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Q: Find the indefinite integral. (Use C for the constant of integration.) 5 cosh(/x) xp

A: ∫5cosh(x)xdxlet x=tdifferentiate on both sides12xdx=dtThen ∫5cosh(x)xdx=5∫2cosh(t)dt

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Q: Use the function f and the given real number a to find (f1)(a). (Hint: See Example 5. If an answer d...

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Q: Let f be a function defined by f (x) : S4 – x?, x + -3 1. Evaluate l1, x = -3 а. ズ→ー3+ lim f(x) b. l...

A: To find out the limits.

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Q: Solve the given initial-value problem. The DE is a Bernoulli equation. x² dy 2xy %3D 4y*, У(1) - dx ...

A: Topic:- differential equations

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Q: Find the nth Maclaurin polynomial for the function. 5x - 3 f(x) n = 4 x + 1 Pa(x) =

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Q: a) f(x) at x = 0 b) fx) 3x at x = -4 X-7

A: a) f(x)=6x at x=0b) f(x)=3xx-7 at x=-4

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