3) Derivative Applications a) A particle moves according to the function f(t) measured in seconds and distance is in feet. 9t2 + 15t, t > 0, where t is i) Find the velocity at time t. ii) What is the velocity after 1s? After iii) When is the particle at rest? iv) Find the acceleration after 1s? after 3s? v) Find the total distance traveled during the first 8s. je Php

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A: ∫sec2θ tan3θ +9 tanθ dθLet x=tan θ.=∫1x3+9xdx=∫19x-x9x2+9dx=∫19xdx-∫x9x2+9dx=19lnx-118lnx2+9Add a…

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