1 7. y = \x sin x,

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. 8. -Ix - 5|) dx

A: topic - integration

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A: Please see the answer below.

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Q: Nhich of the following p-series are divergent? 00 ロと-4 S ロEsk-品 Σ 6666 10000 k38 ロと-7 1 k=7 ロEk…

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A: Given problem:- Find the antiderivative of the function f(x) = x7 That is, find a function F(x) for…

Q: (ii) Find the following indefinite integrals: 1 (a) dx (b) dx 5 - x* xe* ! dx (c)

A: A)I=∫ 1x3+1x3 dxI=∫ x-3 dx + ∫ x-13 dxI=x-3+1-3+1 +x-13+1-13+1 +CI=-12x2+3 x232 +CI=32x23 -12x2+C

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Sketch the region enclosed by the given curves. y = V5x, y = y 4 2 -30 -20 -10 10 20 30 -4 -30 -20…

A: The given curves are y=fx=5x3y=g(x)=15x

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. (9 u - 6 du

A: Given query is to eveluate the integral.

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Q: 3. y = tan(sin 2x)

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A: I am attaching image so that you understand each and every step.

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Q: Use mathematical induction to show that: 1 2 + 2 2 + 3 2 + ⋯ + ? 2 = (?(?+1)(2?+1)) 6

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Q: Applications of Differential Equations A certain radioactive material is known to decay at a rate…

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Q: Г2 т-3 х - 27 If A = 3 -2 -1 is a symmetric matrix then x 4 -1 -5 1. 3 2. 6 3. 8 4. 0

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Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v = (9, 3) a = b =

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: We need to evaluate the following integral I = ∫4+1t31t2dt                            ...........1

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