Find the Laplace transform of f(t) = = = F(s) (3[e^(-9s)+e^(-8s)])/(s^(2)+pi^(2)) 0, 3 sin(at), 0, t < 8 8< t < 9 t> 9

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Q: f (1,0) Based on the figure above, (f-1)'(0)

A: The figure given is

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Q: Find the derivative of y= (2x³+x+1) 4(x²+3)5 (x4+3) 3 O A dy (4) (2x³+x+1) ³ (5) (x²+3) 4 dx 2(x²+3)…

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Q: Find f if f"(t) = 2et + 3 sin(t), ƒ(0) = 2, ƒ(π) = 5. f(t) = = 2e^t-3sint+ (2e^(pi) - 5)/(pi)t

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Q: /3 89. sec²0 d0

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A: We use the difference of cube formula for numerator

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A: We have,.We have to find .

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Q: h'(x) = cosxcot(sin^3x)+cosxsinx ⠀ h(x) = sin(x) -2 (cos(t³) + t)dt

A: Applying Leibniz's rule

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Q: Find f'(t) for the function f(t) = est +sin(t) 2t Do not simplify the expression you get. 2t(3et…

A: To find f't of the given function.ft=e3t+sint2t