consider that; sin²t has the t 00 forem L[ f(t)] = F(s) ds with S f(t) = sin²t. Find F(s) in order to determine L[ f(t)] ?

Q: Compute the derivative: The derivative is: ← d 4 & (2-1) dx 5 x=1

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Q: Let f(x) = | 1°dt. Evaluate the following. f'(x) = f'(-6) =

A: ∫xn dx   xn+1 /n+1 + C f(x) = ∫x0 t6 dt       = [t7/7]x0   f(x) = x7/7

Q: Compute the derivative: The derivative is: 4 d. 4 4 (23) dx x² – 5 x=2

A: On solving this we will get

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Q: Let f(x) = 2x³-7x² + 4x. a. On what interval(s) is f'(x) > 0? b. On what interval(s) is f(x)…

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Q: Let f(x) = t° dt. Evaluate the following. f'(x) = f'(5)

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Q: (b) Use FTC to evaluate (x-x X-

A: