9. Find the interval of convergence of the series n=1 5" (x-3)" √√n

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A: This question can be solved using the concept of linear differential equation.

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A: According to our guidelines, we can answer only one question or three subparts of a question.

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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = √2 sin(√2t), y(0) 13,…

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Q: 31 In how many ways can 9 math students be seated at a round table? 81 40,320 80,640

A: In how many ways can 9 math students be seated at a round table?

Q: Given f(x,y) = ex cos y, Evaluate fy(2,0) O e² cos 2

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Q: 48. If L = lim (cosec x)/(x, then the value of nL is - X->0* (A)1 (BY-1 (C) 0 (D) none of these

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Q: + [ ] [ f(x, y, z)dV, where f(x, y, z) = 2² yz and S is the solid bounded by the elliptic paraboloid…

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Q: 4. Describe the left-hand and right-hand behavior of the polynomial function f(x) = 2x² +6x² Left…

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Q: Find the area of the region bounded by the parabola y² = 2x2 and the line y = x - 5. 16 17 18 19…

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Q: Q/Find the Taylor Polynomials of orders 0,192 and 3 generated by fat a F(x) = Sinx 29=0

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Q: 3. Find the inverse of the function: ƒ (x) = 4x² − 5

A: The answer is given below:

Q: Evaluate the integral. (Use C for the constant of integration.) [5√16. 5√ 16 + ex dx

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Q: For the function f(x) = 2x², find the difference quotient 4a + 2h h 4 a² + h 4 a + 2 h f(a+h) h…

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Q: 15. Find the inverse of matrix A. A = 38 26

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Q: 8. ABSOLUTELY LOGARITHMIC The following information is given about a logarithmic function and an…

A: The logarthim function  is of the form fx=alog4x-h+kThe equation of the asymptote is x=100The…

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Q: ! Q/ if A=(2, -4, 6) and B=(4,-2,5) Find the unit vector of AB UAB 2i + 2j - k √5 2i + 2j-k √5 خیار…

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Q: Calculate √-3 + 3i. Give your answer in a + bi form. In polar form, use the angle 0 ≤0<2m a = b=…

A: Topic:- complex number algebra

Q: 4. What is the area of the parallelogram with sides a = = [3,2,1], b = [4,5,6]

A: Topic = Area