8. Determine the radius of convergence and interval of convergence for the power series 80 n=1 n(-1)" 4" -(x + 3)".

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A: To find the tangent line.

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Q: 3. 4. 5. π X dx sin() co₂ (:) ª 2x - 1 4x1 dx 8. 9. (x-1) √x dx _2_2x dx 10. S√₁-2² a x dx

A:

Q: 3. Find a result by using homogenous for (x³ - 3x²y)dx- (x³ - y³)dy = 0 For Figure 1.

A: We have to find out solutions of differential equations

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A: Let's solve.

Q: 4.5 √√w + 10√w³dw W

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

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A:

Q: C. d. 2-x dx x (In 2-1) dx

A: Topic:- indefinite integration

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A: We can solve as follows

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A: The calculation follows as:

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Q: X. S 2x4 x³x²+x-1 - dx

A: Since multiple questions are asked I am answering first question

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Q: b. The formula A(t) = 19.6e0.0138 models the population, A(t), of a US state in millions, t years…

A: Given: At=19.6e0.0138twhere At denotes the population in a US state in millions, t years afterthe…

Q: \(\) The vectors u= and U= are not orthogonal if and only if x=-136 Select one: O True O False

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Q: Part 1 of 7 (h+k) (1) is. Part 2 of 7 (k-h) (4) is. 00 00 X X Undefined Undefined S

A: To find out the following values.

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Q: 2. Letf: R→R be defined by f(x) = 4x -x2. Let B be the range of f. (a) Find B. (b) Fins f-1([0, ∞…

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A: Let's solve for taylor series.

Q: 1.5(8x³ - 6x² + 12x − 9)dx - 2.S √x(x² − 3x + 2)dx • (x-1)² dx √x 3.f

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

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A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, kindly…

Q: Find the indefinite integral using the substitution x = √x√4 + x² dx + C 2 tan(0)

A: SOLUTION-

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A: Find the differential of function

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Q: 9/ Approximate the follwoing integrals using The Simpson's ruls @ 0-25 b (Cosx) dx -0-25 Š 0-5…

A: