MATH114 Study Guide - Final Guide: Udu, Marginal Cost, Chain Rule

• School: University of Alberta
• Department: Mathematics
• Course: MATH114
• Professor: All

Document Summary

Definition: the notation (cid:1858)(cid:4666)(cid:4667)(cid:1856) is traditionally used for an antiderivative of (cid:1858) and is called an indefinite integral. Note: a definite integral (cid:1858)(cid:4666)(cid:4667)(cid:1856) (cid:3029)(cid:3028) a family of a function. An indefinite integral (cid:1858)(cid:4666)(cid:4667)(cid:1856) is a function or. =(cid:2870)(cid:2873)5(cid:3118)+(cid:2869)(cid:2870)(cid:2870) (cid:889). (cid:884)(cid:3117)(cid:3118): you are given a parti(cid:272)le (cid:449)ho"s (cid:448)elo(cid:272)ity is gi(cid:448)en (cid:271)y (cid:4666)(cid:1872)(cid:4667)=(cid:1872)(cid:2870) (cid:1872) (cid:888, find the displacement of the particle between times t=0 and t=7, find the distance travelled between times t=0 and t=7. Solution: the displacement between times t=0 and t=7 is (cid:2875) (cid:2875) So first, we need to find the sign of v (t) on [0, 7]: distance the particle travelled is: Note: when we are solving the rate of change in the natural and social science issues. We need to know: v(t) is the volume of water at time t is the change of amount of water between time and b.