22n -(2x – 1)". +00 Consider the power series E n=1 Vn? +1 Determine the radius and interval of convergence of the power series.

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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A: # As per the guidelines we are entitled to solve one question at a time , please resubmit the other…

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Q: Q3/ Evaluate Sz Vsinx dx, using i- Trapezoidal rule ii- Simpson's 3/8 rule Ans. 1.1615

A: 3 Given integral is ∫0π2sinxdx. i We have to evaluate the given integral by using trapezoidal rule.…

Q: Question 8 Use the Laplace transform to find the solution of the following ODE y"+16y = 28(t – x)…

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Q: Given: a, = In(n + 1) – In(n) for n E N %3D - {an}n=1 1.

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Q: Find Duf at P. f(x, y) = 3(1 + xy) 2; P(5,3); u = 1 i+ NOTE: Enter the eract answer. Duf 62

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Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3, 5)…

A: To find: Parametric and symmetric equation of the line that passes through the point (4, -3, 5) and…

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

A: Volume bounded by the region

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Q: V. Let f(x) be a differentiable function such that for all æ > 1, • f(x) > 1, • f'(x) < f(x) and lim…

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Q: +oo 22n (2.x – 1)" Consider the power series >, Vn² + 1 Use alternating series test to show that the…

A: Given series is ∑n=1+∞22nn2+13(2x-1)n

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Q: (x+ 1)ª – y² (x + 1)4 + y² - if (x, y) # (–1,0) et f(x, y) -1 if (x, y) = (-1, 0) Show that f is not…

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Q: Let S be the su‎rface with eq‎uation ->R(u, v) = 〈2u sin v, 3u, 2u cos v〉, whe‎re 1 ≤ u ≤ 4 and 0 ≤…

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Q: Determine whether the following series converge or diverge. 4+ cos? n (5 – 4(In n)³)" Σ | 3n – yn…

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Q: 4. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. 2. r = cos´…

A: Arc length of the polar curve

Q: e the inverse Laplace transform of

A: The given function is ss2+2s+2  to find the inverse Laplace Transform proceed as follows rewrite the…

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A: Given that,Cosb=∑m=0+∞-1m2m!b2m for all b∈ℝTo find: ∫01cos2xdx  in terms of a series of constant…

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Q: Evaluate the Inverse Laplace Transform of the given functions. s² – 4 1. F(s) (s2 + 4)2 1 2. F(s) s2…

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Q: Let A = ⟨1, 0, 2⟩ and B = ⟨6, −2, 3⟩. Solve for projAB. Then, find the angle between projAB and B

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Q: j the hwer trianguler methad Using the upper friomguler methind ns the upper frionguler mefhud

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Q: 22n (2x – 1)" n² + 1 Consider the power series > se limit comparison test to show that the series is…

A: Given series is ∑n=1+∞22nn2+13(2x-1)n

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Q: Let g(x) = f(t) dt, where fis the function whose graph is shown. y fit) 9) 24 32 40 (a) At what…

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Q: Given de - and d, - Then do and d, are not G- conjugate if Gis Non of these -0.25 105. 0.25 -0.5 -0…

A: We want to find the matrix G for which given vector are not G conjugate

Q: fllowing integVals using Polar methad : yり x dy QlEValuate the

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Q: Q2) Solve the D.E xdy + (2y-x*+ 3x)dx 0 %3D

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Q: Consider an = tan-l n • Determine if the sequence {an}=1 converges or diverges. • Is the series > an…

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

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

A: Volume bounded by the region

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Q: Determine if it converges or diverges

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Q: 1 1 for n eN = {1, 2, 3, ...}. III. Consider an 2n + 1 2n + 3 Find a general formula for the kth…

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Q: Exs Let PE-292]IR be function f(x)%={2 XEG -2 Showthat P3 R-integrable ornot?

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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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