Determine the value of f(2) when X 2x3 3x5 + 4² 46 f(x) 1. f(2) (Hint: differentiate the power series expan- sion of (x² +42)-¹.) 4 2. ƒ(2) 3. ƒ(2) 4. f(2) 5. f(2) = = = = = = 1 50 1 10 4 25 + 2 25

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Q: Q/ for 8 ER, use the power series for the exponential function e² to show that (-1) ¹ (2n)!…

A: Please see the below picture for detailed solution.

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A: Given: The given sequence is ann=1∞=13∫13dxx,15∫15dxx,17∫17dxx,19∫19dxx.....

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Q: Please review and solve problem 8 part 'a' and 'b' and explain how the answer was found. Problem…

A: The answer is,Explanation:Consider,Used formulas:∫1 dx=x+C∫xn dx=n+1xn+1​+Crounded to six decimal…

Q: Q/ Prove that fca)=G has a Power Series (z+2) (z-1) as the form ()" (1-4") litd 3

A: We have to show that fz=1z+2z-1 has a power series as the form 13∑n=0∞-1n1-4nz-2n+1

Q: 4) (a) Find a degree 3 power series for the function sin(x) centered at I fla) = f (a) + f(a) (x-a)+…

A: By using degree-radian conversation

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A: In this question, we find the approximate value and error by using the given expansion formula.

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Q: 2#), 3. What are the first three terms of the series n=1 ? A. 2 4 6 x3 В. 2 4 6 + x4 x² x6 c. 2 4 6…

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Q: rĩ sec² 0 (e) tan 0 do. Vtan 0

A: That's easy. Have a great day!!!

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A: The given information is sinx2. Write the first 4 terms of the series approximation. Here we use…

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Q: If X ~N(0,1) then p(X<-1.72)= 0.0427 0.9573

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 8. 7.6 - (-10.1) = 2. %3D q. 15.7 - (-9.6) = %3D SUBTRACTING FRACT UNLIKE DENOMIN -3-(-) %3D Aug 19,…

A: 7) -8.8 - 3.4 = - (8.8 + 3.4) = -12.2

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Q: Consider the following sequences n G In (1+n) (ii) e^/ (n²+1), (iii) √√n²+ √n²+2n -n. Which of the…

A: Let {an} be a sequence of real numbers If an≤an+1 ∀ n∈N then the sequence an is called monotonically…

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Q: (iv) COS x -dx, 3.

A: We will answer the first question only as we don't answer multiple questions at a time. Please…

Q: ο Σπo (-6)" x2n+3 Ο Σo 6" x2n+3 100 ο Σο (-6)" man Ο Σπο (-6)" an Ο Σπο 6 x 2n Find a power series…

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Q: Ex 4. Make use of differentiation or integration to obtain a power series for the given function,…

A: We have to find the power series of the given function.

Q: ind the first five terms in the series solution of y'(x) + (1 + x²)y=sin x, with y(0) = a.

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