) Inverse Laplace transform of 2S-5 2 + is s²+16 S3 f(t) = 2cos(4t)-5sin(4t)+t² F(s) =

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A: fiven  F(x)=∫-3x3xz3dzwe know  ∫zndz=zn+1n+1+cdxndx=nxn-1

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A: let Volume = V V = 43πr3S = 4πr2dVdt= 198 ft3secfor an intance V = 18 ft3

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Q: Find the general solution of the D.E. (4D³ − 3D+1)y=0. Ⓒy=c₁e²x+c₁₂e-²x Ⓒy=c₁₂e-*+c₂e² Ⓒy=c₁e²+c₁₂e…

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A: see below the aanswer and explanation

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Q: 3x 16x³ +24x² - 9. Find: 10. Given f(x) = a) All maximum and minimum points b) All intervals wher

A: given that ;- f(x)=3x4-16x3+24x2-9now ,  f'(x)=ddx3x4-16x3+24x2-9f'(x) = 12x3-48x2+48xand…

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Q: Find the length of the loop of the given curve. x = 6t - 2t³ y = 6t²

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A: Please see the below picture for detailed solution.

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Q: (c) At what points is the height 40 m? (Round your answers to two decimal places.) (x, y) = -52.825…

A: The given equation of the arch:y=211.49-20.96 cosh0.03291765x

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A: We have given an indefinite integral  ∫x5·x6-24 dx Let,  u=x6-2 du=6x5 dx So, integral will be…

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Q: Find the Taylor series (general form) of f(x): 1 X centered at x = 1.

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