APPLICATION 5. The raTe aT which The value of a moTorcycle depreciaTes can be modeled by The E funcTion V(t) = 10 0009'? where V is The value of The moTorcycle in $ and T is The Time in years a. WhaT is The raTe of depreciaTion when The moTorcycle is firsT driven off The loT b. When is The raTe of depreciaTion The fasTesT? . . . KNOWLEDGE 1. Determine the derivatives of the following functions/relations. If you are using implicit differentiation, isolate y'. DO NOT SIMPLIFY a. g(x) = etan (2x) b. x2y2 + 2y = 9 c. f (x) = 3 sec (2x) In (4x) d. h(x) = evx+2 log2(cosx) 2THINKING 4. USe calculus to show that the zeros for the function f (x) = 3sin [2 (x 5)] on the interval [0.1:] are also points of inflection