MAT 1300 Study Guide - Exponential Growth, Exponential Function, Quotient Rule

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

Document Summary

Limits, continuity, exponential: chain rule, quotient rule, product rule, exponential function ef(x), ln f(x), af(x), log f(x), Increases, decreases: concavity, sketch a graph, asymptotes. C(x) = c0 + cost per board x t ; c0 = initial cost. P (x) = r(x) c(x) [see page 8 for question and solution] 2011 finalsol. pdf] Q5 test 2 2011 (not the box optimization) P(t)= po e kt exp growth: k>0, decay: k<0. 2 x ln 3 = (x+1) ln 2. F(x) = 1/ sq rt (3x + 3) ; x=2. F(2) = 1/ sq rt (9) = 1/3 (2, 1/3) Sub in 2 in f"(x) to find b, sub in x=2 and the y-coordinate to find the equation of the tangent. Integration (one of two topics to cover 70% of the exam): *make sure you study backwards (from hardest to easiest) * hint: improper integration questions are only mcqs (from final fall 2010)