MAT 1300 Study Guide - Final Guide: Improper Integral, Economic Surplus, Saddle Point

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1300
• Professor: Termeh Kousha

Document Summary

Fall term, 2010: blute & a. novruzi. Instructions- this nal examination consists of 10 multiple choice ques- tions worth 3 points each. Your answers to the multiple choice questions must be clearly marked in the squares below. There are also 5 long an- swer questions worth a total of 70 points. For the long answer questions, you must show your work on the exam itself and clearly display your answers. Question 1- calculate: lim x 2 x4 16 x 2: 9 b) 8 c) 17 d) 32 e) 72. Solution. x4 16 x 2 (x2)2 42 x 2 x 2 (x2 4)(x2 + 4) (x 2)(x + 2)(x2 + 4) x 2. Hence lim x 2 x4 16 x 2. Question 2- the function y = f (x) is de ned implicitly by. 4xy2 + 3x2y = 7 dx at the point (1, 1). 4(y2 + 2xyy ) + 3(2xy + x2y ) = 0,