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Q: The f e²x +e-2x e2x-e-2x dx is -2x1 {A}={In 2x te e e2x-e-2x + C 2x {B} In|e²x −e-²x | + C {C} -2…

A: To solve the given integral using substitution.

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A: Explained below

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A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: 2. Given the matrix A below, Solve for A-¹ A = 12 1 2 1 -1 2432 4] 365 487 - -3 4

A: Given A=123424681357-12-34 We want to calculateA-1=1A

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A: The given function is;  f(x)=8x2-8x on the interval [0,1].

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A: Let us consider the expression, ax+by=c Using Implicit differentiation on both side we get,…

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A: This question is related to Matrices and determinants , we will solve it using given information.

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Q: 2. (4x³-3)dx

A: Let's find.

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A: To find the integral: ∫0∞x2e-xdx converges or diverges.

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A: Given query is the derivative of the expression.

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A: Formulas:ddx cos hx =sin hxddx ex =exddx xn = n xn-1

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A: To use the linear approximation to estimate cos(60.5°)

Q: 55. the sum of the first 80 positive integers 56. the sum of the first 120 positive integers

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Q: find dy/dx of each equation using implicit differentiation. a. (x+y) / (x-y) = y2 b. 2xy - y2 = 3

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Q: Comput: f dx 2+x

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

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A: Let's find.

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Q: 2. Let f be the function from {a, b, c, d, e} to {1,2,3,4} with f(a) = 3, f(b) = 1, f(c) = 2, f(d) =…

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Q: 7) Relative to an origin O, the position vectors of the points A and B are given by OA P (-) and OB=…

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Q: Problem 1: Obtain ODE by eliminating arbitrary constant A, B, and C y = Ae2x + Be + C

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