Find the exact area of the surface obtained by rotating the given curve about the x-axis. x = a cos³ (0), y = a sin³ (0), 0≤ 0 ≤ π/2 abí

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Q: After finding the partial fraction decomposition, 10 x-6 -3x + 7 2 x + 3 + X 0 3x + 4 x² + 3 S +…

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Q: 1. Consider the following vectors and answer the following questions. (6,0,4), = (2,1, -3) (a) (3…

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Q: Suppose that AABC is a right triangle with ZC = 90°.

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Q: Evaluate Hint: Using power series. lim x-0 -32-³ -1+3x³ - 2/x6 13x⁹

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Q: ¡¡¡ ³² 2 cos (x²) 0 0 4у Evaluate the integral 2 cos (x²) 00 4y 5√√Z (Type an exact answer.) -dx dy…

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Q: An equation of the ellipse is

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Q: Find the area of the region that lies above the x-axis, below the curve x = =t² + 5t+3, y = e with 0…

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Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

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Q: 4. Consider z = ²-y tan(x); x = s/t, y = s²t², use appropriate chain rule to find Əz/at.

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Q: Use a graph of f (x) = 2 sin (x²) to determine where an antiderivative, F, of this function reaches…

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Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

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Q: Find the general Solution For D-E y + y tanx = [cos²x]y'

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Q: Perform the following operations and simplify the results. State the domain restriction in each…

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Q: The figure below shows human arterial blood pressure during the course of one heartbeat. arterial…

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Q: A rectangle has its base on the x−axis and its upper vertices on the parabola y = 9−x^2. Find the…

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Q: *Find the general solution of:- dy dx =x√2x + 1 1

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Q: The function f(x) = x 4 has a Taylor series at a = 1. Find the first 4 nonzero terms in the series,…

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Q: 1) Write a complex number in a standard form z = x + ly:: 2+i (2- i)(3i+ 4)(i+1)

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Q: If sin(-s) = 5/13, and (a) (b) (c) (d) sin s cos(-s) COS S 3πt < s < 2π, compute the following.…

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Q: Find u x v, v x u, and v x v. u = 2i + 6k v = 5i + 9j - 2k. (a) -54i + 22j + 18k u x V (b) V x u 54i…

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Q: 2. S x³ +1 x³ - x² da dx

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