01:640:135 Study Guide - Final Guide: Differentiable Function, Riemann Sum, Marginal Cost

• School: Rutgers University
• Department: Mathematics
• Course: 01:640:135
• Professor: All

Document Summary

Ma135 final exam dec. 17, 2007: find the following limits (5 points each), giving reasons for your answers. You may use any method from this course. 1 x 1 x 1: lim x 1 c. lim x x2 + sin(x) x2 + 1, find the derivatives of the following functions (5 points each). You do not need to simplify your answers: if y = 2 x a. b. c. a. b. c. x sin(x2) dx = dx = dx = 11-1-111-1-111-1-1d. f (0) = 1, f(cid:48)(0) > 0, f(cid:48)(cid:48)(0) = 0, f(cid:48)(cid:48)(x) > 0 for x < 0 f(cid:48)(cid:48)(x) < 0 for x > 0. 3: (14 pts) in a healthy person of height x in, the average pulse rate in beats per minute is modeled by the formula. Use linear approximation to estimate the change in pulse that corresponds to a height change from 59 to 60 in.