MATH 2B Study Guide - Final Guide: Points Of The Compass, Alternating Series Test, Improper Integral

• School: UC-Irvine
• Department: Mathematics
• Course: MATH 2B
• Professor: G U E R R A, A

Document Summary

Derivations of kinematic equations can lead to other kinematic equations. The derivative of acceleration is velocity or. The derivative of velocity is position or v(t) = s (t) a(t) = v (t) The area (a) of the region under the graph of a continuous function f is the limit of the sum of the areas of approximating rectangles: Definition of definite integral: if f is a function defined for a x b such that x n lies within the ith subinterval [ be be any sample points in these xi 1 xi. 2 . interval [a,b] into n subintervals of equal width the endpoints of these subintervals. This means x i integral of f from a to b is: f (x ) x (x)dx f. = lim n n i=1 i b a provided that this limit exists and gives the same value for all possible choices of sample points.