HW HELP: please show work. This assignment has THREE parts, please respond to all. THANK YOU SO MUCH!!

PART 1:

You must show all work for all steps involved in completing this exercise in order to receive full credit. (1 point each) An automobile's velocity starting from rest is 100t v (t) : 2t + 15 where vis measured in feet per seconds. Find the acceleration at: a. 5 seconds a. 10 seconds b. 20 secondsApply the Chain Rule to find the derivative of each of the composite functions. You must show your work for all steps in order to receive full credit. (1 point each) 1 ) y = (2x- 7) 3 2 ) f ( t ) = 3 ( 9t + 2 ) ? (Hint: start by converting this to a rational exponent.) 3) y = cos 3xEach of the following functions are written in implicit form. Differentiate each using implicit differentiation. You must show all of your work for each step of the process to receive full credit. (1 point each) 1 ) x' + y' = 36 2 ) x + y' = 8 3) coty = x- y