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- F = (2+-1) dtA particle has zero velocity initially (i.e., at time t = 0 ) and its acceleration at t seconds is a(t) = 72t - 4t³ meters-per- second per second. During the time interval [5, 8] seconds, (i) the average acceleration of this particle is -689 (ii) the average speed of this particle is | # meters-per-second per second meters-per-second.4
- Let f(x) = x3 + 5. Explain why f(x) is invertible, then show all steps in the derivation of a formulafor f-1(x).Determine whether the pairs of the functions are linearly inde-pendent or linearly dependent on the real line. f(x) = e^x sin(2πx), g(x) = e^x cos(2πx)Exercise 5: Compute / f(x)g" (x) – g(x)f"(x) dx.