1. Consi der the power series (2r+3)" Σ V2n2 n=1 1 (a) Determine the interval and radius of convergence of the power series. (b) Determine the interval where the power series is absolutely convergent.

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A: According to our guideline we can answer only one question and rest can be reposted.

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A: To find which of the following is a measure of dispersion :-

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A: Given DE is  64y''+144y'+106y=0.....(1) Initial conditions are  y(0)=8,y'(0)=3......(2)

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Q: Q1 Assuming that the equations in Exercises 25-26 define y as a differen- tiable function of x, use ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: 2. (a) Show that the polynomials p, (x)=1+x, p,(x)=1+2x–x², p;(x)=x+x² are Р. linearly independent. ...

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Q: Solve the following problems. The population of Aman city increased from 188,500 to 191,890. Find th...

A: Solution

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Q: 2) (No graphing calculator should be needed here). Let P be the region in the first quadrant bounded...

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A: A sequence is a set of numbers that has a particular order or obeys a general form. Usually, the nth...

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Q: -sin x , 0<x <A Find the Fourier cosine transform of f (x)={ otherwise

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Q: Find the main, median and mode for the given data. 11,8,2,517,39,52,42

A: Given: 11,8,2,517,39,52,42

Q: QUESTION 2 Let = {A, : nEN}, where A,=(0, - fe for each natural number n. Then N = N A, = Ø. n=1 Tru...

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Q: Solve the recurrence an= 4an-1- 4an-2, ao=1, a1=1

A: a2= 4a1 - 4a0 So, a2= 4×1 - 4×1=0 Again, a3= 4a2 - 4a1 So, a3=4×0 - 4×1 = -4 Again, a4= 4a3 - 4a2 So...

Q: B) Find (블)x,()'(일), Prthe Pte 2- w= x?+y-2 +sin z 3. w:x+y+2", ysinz+ z sin so

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: 1. Solve the equation z2 + 2z = -1+ 6i ; [Let z = x + yi]

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Q: ´n – n! n=2 8

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the equation...

A: We have to find the volume of region.

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Q: Consider the solution to the differential equation y' with y(1) = 1. 3x (a) Apply Euler's method wit...

A: Given y'=4y3x with y1=1 Here, x0=1, y0=1 (a) We will find the value of y2 by Euler's method with a s...

Q: The PDE x =0 is ax (a) Hyperbolic for x>0, y0, y>0 (b) Elliptic for x>0, y0

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Q: Show the derivation of formula for the conversion from spherical coordinates to rectangular coordina...

A: Rectangular coordinates can be written in spherical coordinates as follows: x=ρ cos θ sin ϕy= ρ sin ...

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Q: My sequence has the following terms: -100, 1000 3 10000 20000 1000000 31 Reply

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Q: * = r+ 2y – 6 ý = 6y – 3y + 24

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Suppose that A ⊆ B and x ∈ A. Use the method of “proof by contrapositive” to show that if x ∉ B - C,...

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Q: Matching Type: Match Column A with the correct answer on Column B. Write the letter of the correct a...

A: Given : To match the given statement with its   

Q: 5. Show f(x) = x'/4 – In(x) is positive for r e R sufficiently large. As well, use the p-series to s...

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Q: 4. The velocity of a speed boat in ft/sec at selected times is given in the table. t 10 15 20 25 30 ...

A: (a) Acceleration = Change in velocitychange in time