Find the nth Taylor polynomial for the function, centered at c. 1. f(x) n = 4, c = 3

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A: As per bartleby guidelines we only give first three suparts  question answer.

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A: We know, n³+6n-1≥n³ for all n≥1    

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) n = 4, c = 4 P(x) =

A: solution:-f(x)=1x2,     n=4,       c=4f'(x)=-2x3f''(x)=6x4f'''(x)=-24x5f4x=120x6

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Q: A. Evaluate the following integrals 1. 2. L. 3. , e*dx dx dx -1 x2/3 4. SE tanodo -4 dx

A: solution:-Q.(4) ∫-∞π2tanθdθsolving the improper integral=limt→-∞∫tπ2tanθdθ=limt→-∞∫tπ2sinθcosθdθ=lim...

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Q: dx Given: - 06-2x. Using u-substitution and transforming the integrand, find du. A 14e2xdx B 18e-2xd...

A: Given:  ∫dx7-9e-2x To Find: By using u‐substitution and transforming the integrand, to find du.  

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Q: Is the series divergent or convergent? Show solution and explanation. +oo In n E(-1)": n2 n=2

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Q: x²dx S: 1. 4 – 3 x' dy 2. V16 + y²

A: Let I=∫x24-x2dxI=∫x222-x2dxPut x=2sinudifferentiate dx=2cosu.duI=∫22sin2u22-22sin2u2cosu.duI=∫4sin2u...

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Q: The graph shown is f(x) =/x. If g(x) = f(t)d t, find g(4). AY 3.6 2.4- 1.2t + -1 0 3 4 6 O g(4) = %3...

A: The detailed solution is given below Thank you 

Q: Given a period function f (x) with a period p = 4, -2 < x <-1 f(x) (0, -1 < x < +1 %3D +1<x < +2 (a)...

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Q: 2) An agriculturist wanted to plant seven different organic crops in a small field. To properly stud...

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Q: analytically

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: We need to find the Taylor Series of e5x with center c=0.

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A: Topic:- integration

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Q: dx The integral k, where u= f(x) and for some constant, k. Compute 2). reduces to ex + 1 A е - 1 B n...

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Q: 7. What is dx (x six(x)?

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Q: 1) exist. Show your work and carefully explain your reasoning in complete Find the limit of the foll...

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Q: Determine the Taylor series expansion about a = 1 of the function defined by f (x) = log3(2 – 1).

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Q: 1 Use the Cauchy's integral test to show that Σ diverges n. In n. In In n n=2

A: Cauchy -Integral  Test series ∑n=1∞ an      converges if integral ∫1∞ f(x) dx finite and  diverge if...

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Q: 2) Which of the following sequences are summable. If the sequence is geometric, find the sum: a) a; ...

A: a) a1= 5/4 a2= 25/16 a3= 125/64 b) a1= 11/6 a2= 15/11 a3= 19/16  

Q: Using the (e- 6) definition, show that f(x) = 3x – 1 is continuous at point x = 1.

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