f(x) = (x² + + 6) cos(4x) 3 х

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A: Given,observations : -2 , 0,3, -4 , 1

Q: Suppose that insurance companies did a survey. They randomly surveyed 400 drivers and found that 340…

A: Given information  x = 340 n = 400

Q: . Approximate 26.6 using a Taylor polynomial with n = 2. Round your answer to six decimal places.

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Q: Calculate truncation error for e^2 with two and three terms in taylor expansion

A: Truncation error formula The truncation error of the Taylor series approximation for  depends on the…

Q: Can you show and explain what it means to take first difference of a time series

A: A time series is the sequence of observations taken sequentially in time.

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

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Q: Find the sum of the series: (- 1)"4" 3 (2n + 1)!

A: We know sin x = ∑n=0∞(-1)n x2n+1(2n+1)! Putting x=2, we get sin 2 = ∑n=0∞(-1)n 22n+1(2n+1)!

Q: Determine the coefficient of at in (1 – 4a²)ó by completing the following given steps.

A: Concept:

Q: why - ( f ²^(lu² (+)² + 9²³\u{(t) ] ²³ ) d+){ 0 is inner Product?

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Q: da find the 2-24 Series

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Q: e method fo determine Use any whether the Series Conve 2. (K +1)! K= 1 6.

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Q: Express as the sum of a power series: (5z + 6)(6z + 6) (3)"] 1/7 17

A: Using partial fractions:  x5x+66x+6=15x+6-16x+6                            =1/61--56x-1/61--x…

Q: Compute the exact value of the sum from n=1 to infinity of (n^2)/(2^n)

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Q: What is the center of the power series

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

Q: 2n-1 n²(n+1)

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Q: 1-x хр ха ес

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Q: The Taylor series for f(x)=D7x^2-6x+1 at x-2 is given by a+b(x-2)+c(x-2)^2 Find the value of a+b+c

A: The Taylor series of function f(x) at x=a is given by fx=∑n=0∞fnan!x-an where fna is the n-th…

Q: ててーXつ (ーフ 1 प. ८ genc 16)Find the power Series S こひ( れこス て24(O t2u(コ

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Q: What is the sum of the series 00 10 21 21 11 -7)

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Q: z(0) - 2, y(0) 8.

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Q: The Summation means that we take 2 the sum of 1²+3 as i goes from 6 to 8 { li i=6 (143) =…

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Q: Let X - binomial(n, p) and Y ~ binomial(m, p) be independent. a. Derive the MGF of W = X + Y. b. By…

A: A) Let X~bin(n, p) and Y~bin(m, p) be independent r.v.s We know that mgfs Mx(t) =(1-p+pe^t) ^n And…

Q: The sum of the series is 4k2-1 k-2 12 9. O None 11/7 -/3

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