State where the power series is centered. Σ (−1)^(x – 4a)5n (5n)! n = 0 Need Help? Watch It

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A: Identify the directions field that corresponds to the following day equation y’ = y^2

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A: On solving this we will get

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Q: (b) (2,2√3) (i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 ≤ 0 < 2π. (r, 0) = (ii)…

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Q: Let z(x, y) = дz & მა Calculate дz მა дz Ət || || 7x2 - 9y2 where x дz St by first finding ?х дз' >…

A: The given function is  z(x, y)=-7x2-9y2 where x=-8s+5t and y=8s+3t

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Q: nd the first derivative ƒ' and the original function f. f"(x) = x³ - 12x. f'(1) = 0. f(1) = 10

A: Given query is to find the function f.

Q: 53. sec² x 1 + sin x sec² x - sec x tan x cos² x

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Q: (1) Use the method of reduction of order to find a second linearly independent solution y2: (a) x²y"…

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Q: 6. The city started a different program to increase library visitors. At the start of the program,…

A: Given query is to find the exponential function and the visitors after 3 years.

Q: Find the Jacobian J of the transformation T(u, v, w) = (4u +4v+w, 4u − 2v+2w, 4u — 4v +2w) = (x, y,…

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Q: ). Use the Integral Test to determine whether the sum converges. ∞ n = 1 1 n + 8 Evaluate the…

A: Given series  ∑n=1∞1n+8

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A: use the newton method and derivative for finding the Xn.

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Q: Find and classify the critical points of z = (x² − 4x) (y² – 8y). Local maximums: Local minimums:…

A: Given function:- z=x2-4xy2-8y

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Q: Find the area of the shaded region. r = 5 + cos(0) -6 -4 -2 y 4 2 -2 -4 LC 2 4 X

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Q: Integral Calculus (Upvote will be given. Please write the complete solutions with GRAPH/DIAGRAM…

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A: Volume of the cone , V =13(radius)2(height).

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Q: A company determined that the marginal cost, C'(x) of producing the xth unit of a product is given…

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Q: Identify the curve by transforming the given polar equation to rectangular equations. Y = 6 3 cos 0…

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Q: 1. f'(x) and ƒ' (7). Show all work, no decimals allowed in your final answer y -Cos (x) Tan(x)…

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Q: Use the vectors N = 3x - 2y + 12 and M = -1x + 3y + 12 to answer the following questions: A. What is…

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Q: f(x) = 6e9x³-9x

A: Given    find first derivative

Q: 4. b. a. 1. Selected values of f, g, and their derivatives are given in the table. f(x) 10 4 1 -2 -5…

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Q: Find the values of a, y and z that correspond to the critical point of the function: f(x, y) =…

A: We can solve this as follows:

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Q: 1) Consider the function f(x) = 5x+2. Use basic formulas from Geometry to calculate the Definite…

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A: For finding maximum or minimum , firstly find critical point . For critical point , equate first…

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Q: please use the method of variation of parameters to determine the particular solution y'"+30y"…

A: The given differential equation is:y'''+30y''-4000y=e-20x

Q: d the polar coordinates if (x, y) = (-√3, 1), r≥ 0, -2π < E

A: Given query is to find the polar coordinates.

Q: Find the general solution of the differential equation: dy 2ty + 4e-t². d.t What is the integrating…

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