Use the power series 1 = Σ( Σ(-1)-1-1, x +1 n=1 to find a power series, centered at 0, of the following functions and give its validity. 2 a. f(x) = (x + 1)³ b. f(x) = ln(1 — x²) -

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A: By two-column proof we will be showing that A∆B=A∪B. We know that A∆B=A∪B-A∩B.

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A:

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A: We will use partial fraction decomposition to solve the given integral .

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A: Given Data : Sample Size, n = 40 Sample Mean, x̄ = 28.1 standard deviation,…

Q: Find the mean and variance of Z.

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A: Given n = 84X = 61.20 = 7.9z= 1.96 for 95% confidence interval

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A:

Q: I. Determine whether or not each of the following is an arithmetic sequence. 3. 3, 7, 11, 15,.. 4.…

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Q: 3. Evaluate sin5 xdx

A:

Q: 4. Use synthetic division to show that c is a zero of the given polynomial function. b. P(x) =2x³ –…

A: Solution is given below: