9. Find all the solutions of 3x² + 2x + 1 8 (mod 63).

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A: I just answered which are convergent

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Q: 6. Let T : R – R* be the function defined by [i(1)] f2(x2) f3(r3) 12 T( where f1, f2, f3, fa : R → R…

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Q: Determine whether the alternating series £ (-1)n+1, n3 converges or diverges. n= 1

A: Given alternating series is  ∑n=1∞-1n+13nn3

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Q: IV. Determine if the given is convergent or divergent. s In"(n*) 23n2 #4. n=1

A: Given series is ∑n=1∞lnn(n4)23n2

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Q: L' {35+ 25 S - 1 s2- 8s + 25

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Q: (-3)"(x – 2)" Vn+2 Consider the power series 1. Use Limit Comparison Test to show that the series…

A: The solution is below.

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A: Gt

Q: 5. a) Compute the change of basis matrix from 3 = to Ez in R². ) - A b) Given an explicit formula…

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Q: olve the following system of equations. If the system is dependent, express the solution set in…

A: -2x + 5y = -8 ..(1) 10x - 25y = 40 ..(2)

Q: For the function y = -2 sin (0 +=) + 1, answer the questions that follow.

A: 7. Given,            y=-2sin12θ+π6+1

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Q: What interest will be earned if $6500 is invested for 2 years at 11% compounded monthly? (Round your…

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Q: Consider the function g(x, y) = x³ – 4x + ye" – In y. a. Find all critical points of g. At each…

A: We have to find Critical Points and partial derivative using chain rule.

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A: Given: Ray ST  bisects ∠ RSVm∠ RST = x + ym∠ TSV = 2x - 2ym∠ RSV = 64°

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Q: Let X = {a, b, c, d, e}. Create a σ-algebra X from set X. Explain why it is a σ-algebra.

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Q: Evaluate: e* cos (7e*) cos (4e*) dx - sin (3e*) + –sin (11e*)+C A 22 B - sin (3e*) – –sin (11e*) +C…

A: Evaluation of the Integral

Q: Construct proofs to show that the following symbolic arguments are valid. Commas markthe breaks…

A: F1 : ~X → ~Y      ≈ ~(~X) v ~Y     ≈ X v ~Y F2 : ~X v ~Y F3 : Z ↔ Y     ≈ (Z → Y)•(Y → Z)      ≈ (Z…

Q: Q5) Find volume of body bounded by z = x - y from below and z = x + y from Above inside y = x² ,y =…

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Q: Integrate the fallowing fultinnaaver the given regions R: the circle xy R: and

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Q: Given: 3z = xy Find f ху/3 O y/3 O x/3 O None of the choices

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Q: 4,17, 2,1, 3, 11,14, 10, 6, 1,2, 1, 4, 14,15, 12, 1, 7, 9, 6 How many classes should there be if the…

A: Given: Let us consider the given, 4,17,2,1,3,11,14,10,6,1,2,1,4,14,15,12,1,7,9,6 Class width=4

Q: $20,000 is invested for 9 months at an annual simple interest rate of 3%. (a) How much interest…

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Q: Let an = n 2 1 In(2" + 1) Determine if the series En-1an is convergent or divergent. Explain…

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Q: Find the sum of the following convergent series. Σ 37+1 00 1 6n-1 n=0 Vn +1 n=16

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Q: 2. Solve the following differential equations: (a) y' e2y = (b) y' = 1+ Y (c) xy' = y(3 – x)

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Q: Determine the radius and interval of convergence of the given power series.

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Q: (-1)"x2n (2n)! COS X = for all x E R. n=0 1. Let f(x) = cos(/x). Determine the power series…

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