Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the interval of convergence is an interval, enter your answer using interval notation. If the interval of convergence is a finite set, enter your answer using set notation.) Need Help? Read It Watch it

Q: -In 3 e* In 2 V4 - e*

A: As per our guidelines we are supposed to answer only one question i.e. the first question. For the s...

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Q: e2t+a (2 cos at – 3 cosh 2at) -

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Q: dz 10. Compute az and for the following equation. dy e Y + xz? 6xy*z3

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Q: 14. If we let u = 4x – 1 for the s²tan(4x-1)-3 cos"(4x-1) dx. what will be the cos(4x-1) resulting f...

A: This is a integration problem

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A: Solution is here

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Q: Suppose you have a dataset with m = 1000 examples and n = 200000 features for each example. You want...

A: Explanation of the answer is as follows

Q: Given F(s) = L(f), f(t), a, b, L, n are constants. Show the solution. 1 1) (s+v2)(s-V3)

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Q: In Exercises 39-42, the velocity v(t) of a particle moving in the plane is given, along with the pos...

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Q: e3x 2. Let dx be given . If u = e* + 1, then the resulting integral is ex + 1 | f(u) du. Compute f(3...

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Q: 22. Determine f(x) so that cos(In²x) f(x) dx = sin(In²x) + C (a) 2 In x 2 In x (b) Inx (e) NIK

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Q: Use the shell method to set up a definite integral (set up only, do not evaluate the integral) for t...

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Q: CSC X du 5. If u = f(x), then =1. Compute f %3D sin x- cos x COS X 2 (a) 1 (b) -1 (c) 0 (d) 2

A: =∫ csc xsinx -cos x dxsin x =1csc x,cos x =cot xcsc x    = ∫ csc x1csc x-cot xcsc x dx=∫ -csc2x dxco...

Q: 18. dx The integral - can be rewritten as V1 - x (a) lim (-2+ 2v1-s) (b) lim (-1+2vī -s) s--00 s--00...

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Q: Find the solution of the following initial value problem: An 14a,-1- 49an- 2; ao = 0, a1 = 6 %3D an ...

A: Let us take an=rn. So, the characteristics equation will be       r2-14r+49=0⇒r=7, 7 Further, we hav...

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Q: 1+ In x 6. Find f (x) so that when u =f(x) the integral dx can be tan(f(x)) rewritten as cot u du . ...

A: This can be evaluated as follows:

Q: 15-16 Find the number e that satisfies the conclusion of the Mean Value Theorem on the given interva...

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Q: 1. F- x/x is a weekday) Roster Method 2. G- (1, 2, 3, 4, 5, 6, 7, 8, 9, 10) Verbal description metho...

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Q: Example 4: Show that the inverse of a point a with respect to the circle| z - c | = Ris the %3D R 2 ...

A: Given the inverse of a point wrt circle 

Q: Graph the line x=-1. 8- 12

A: We will graph the function. 

Q: 11. Determine fuu for the following situation. f = f (x, y) x = u² + 3v, y= uv 33

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Q: 1+ In x 6. Find f(x) so that when u = f(x) the integral J tan(f(x)) dx can be rewritten as | cot u (...

A: Solve by integration

Q: Evaluate the integral [/4x4 – 12x² +7 xdx (2x2 – 3)/4x4 – 12x² +7 – 2ln|2x2 /4x4 – 12x² + 7|} + c -3...

A: Given that, The integral is following, I = ∫4x4-12x2+7xdx We have to solve this integral.

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A: Given

Q: 1 dx 1+Vx

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Q: Which of the following is cluster point of sequence a O A. 0 O B. -3 O C. 2 O D. All of the above ch...

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Q: Is the series divergent or convergent? Show solution and explanation. +oo In n n2 n=2

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Q: x2 Sketch the curve of y %3D (х-2)(х-6)

A: According to question,Given function,y = x2x-2x-6

Q: Find the radius of convergence of the power series. 00 E(-1)"n+ 9 n = 0

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Q: 19. Give the midpoint approximation of xdx with n = 2.

A: Here, to approximate the given integral ∫04x3dx  using midpoint approximation with n=2. Let, f(x)=x3...

Q: Determine the value of x of the continuous function: * х — 1 f(x) = {3x – 3 (-4x + 3 x 3

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Q: Use sigma notation to write the Maclaurin's series for the function f(x) = x cosx Show complete solu...

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Q: 1. One of the following is an improper integral CA In 3 cIn 2 dx xp 4 – ex 2x + 1 JIn 0.5 ' In 2 dx ...

A: I am attaching image so that you understand each and every step.

Q: Σ n = 0

A: Follow the procedure given below.

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Q: 4. y = Arc tan² x³ 5. Ø = Are cot 2x

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Q: Assume that functions f and g are differentiable with f(-3)= -5, f(- 3) = -4, g(-3)=2, and g'(-3)3D2...

A: Equation of a line

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