5 Steps to a 5 AP Calculus AB 2019 - William Ma

MA 3972-MA-Book May 24, 2018 14:33

Appendix 407

• Total Distance Traveled fromt 1 to

t 2 =

∫t 2

t 1

|v(t)|dt.

24. Business Formulas:

Profit=Revenue−Cost P(x)=R(x)−C(x)
Revenue=(price) R(x)=px
(items sold)
Marginal Profit P′(x)
Marginal Revenue R′(x)
Marginal Cost C′(x)

P′(x),R′(x),C′(x)are the instantaneous

rates of change of profit, revenue, and cost,

respectively.

25. Exponential Growth/Decay Formulas:
    dy
    dt
    =ky, y>0 andy(t)=y 0 ekt.