MATH 104 Study Guide - Midterm Guide: Total Order, Inventory Optimization

• School: UBC
• Department: Mathematics
• Course: MATH 104
• Professor: All

Document Summary

This examination paper consists of 7 pages (including this one). Mathematics math 104 (104) mock midterm #2 26 october 2009 p. 2 of 7. Find the derivatives of the following functions: (a) f (x) = x2e. 1 x (b) f (x) = 2exe2x (c) f (x) = x3 + 2x + 6 ex + ln x. Mathematics math 104 (104) mock midterm #2 26 october 2009 p. 3 of 7. Find the equation of the tangent line to the curve given by x2 + y2 = (2x2 + 2y2 x)2 at the point (cid:16) (cid:17) Mathematics math 104 (104) mock midterm #2 26 october 2009 p. 4 of 7. You may use, without verifying it, the formula f(cid:48)(cid:48)(x) = (x2 3) (x2 1)4/3 . Mathematics math 104 (104) mock midterm #2 26 october 2009 p. 6 of 7. Liquid is being poured into a parabolic bowl at a constant rate of 60 cm3 s 1.