The integral in this exercise converges. Evaluate the integral without using a table. -7 S -7 ∞ 72 36 72 dx -dx = (Type an exact answer.) 36 4

Q: Use interval notation to represent the separate intervals where 2x + 5 will be non-zero:

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Q: 74. 1 - 2x + 3x² - 4x³ + 5x + 100x9⁹ 99 Paga eid aid -

A: write the sum using sigma notation

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A: Given x-2y'=y+2x-23

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A: ddxx2+3xx-1-x-4

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A: We can find the derivative using product rule in the below steps.

Q: If g(x)=xf(x), where f(3)=4 and f'(3)=-2. 1. Find an equation of the tangent line to the curve of g…

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Q: 22) The given equ" of the circle (x+12) ² + (y + 5) ² = 169 Here centre of the circle ins (-12,-5)…

A: The following is the digital format of the given text.

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Q: For the function below, find a) the critical numbers, b) the open intervals where the function is…

A: A point x=a is said to be a critical point of f(x) iff f'(a)=0

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Q: Quantitatively prove the following: If f: R3 → R  has continuous second derivatives, then  ∇ × (∇f)…

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Q: 09 Co 2 65 b 324 10 9₂ 00 b 자 t NGGA US + 꾸 + 라 오 86-07 의 5

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Q: Evaluate the following integral using partial fraction decomposition. S 12 (x-4)(x+8) 12 (x-4)(x+8)…

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Q: Q2. Solve the following ODE with condition y(2) = -4 and y' (2) = 14. y" + 2y + 5y = 50t - 100

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Q: 4.Evaluate y' for y = cos8x-1 sin8x and simplify the answer

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral £{f(t)} =…

A: Given function is ft=9,    0≤t<30,    t≥3 We need to find laplace tranform of the given function.

Q: Problem 2 Given the following differential equation: (y³+kxy4 - 2x)dx + (3xy2 + 20x² y³-ky)dy = 0 a)…

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Q: eln9

A: Given:- eln9

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Q: b) Find the differential of the function f(x) = tan(√x)

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