MATH 125g Study Guide - Midterm Guide: Scilab

• School: USC
• Department: Mathematics
• Course: MATH 125g
• Professor: Guillaume Dreyer

Document Summary

May 2005: (6 points each) calculate the following limits. x2 9 x2 + 2x 3. 1: lim x 3, lim x 0, lim x 8 , lim x 2, (6 points each) find dy dx, y = x2 sin 2x. (you may use logarithmic di erentiation), y = (x 1)(x 4) (x 2)(x 3) X: xe y + ye x = 3, y = z cos t dt. 3 t: (7 points each) evaluate the following integrals: 3 x (a) z ( 3 x x3 + (b) z 1 (c) z (d) z e2x 1 + exdx. x3 + 2 x cos( + x2)dx dx. 0: consider the following function and its rst and second derivative: f (x) = x2 + 3x + 1 x2 + 1 f (x) = 1 (1 + x)4 at: (15 points) a cube is increasing in volume at a rate of 10cm3/sec.