MATH 112 Study Guide - Final Guide: Maxima And Minima, Demand Curve
Document Summary
Math 112 final exam hints and answers. 1. (a) answer: 1 (b) answer: 0 (c) answer: 1. 3x + 1) 2x 4 h x2 4x ln(x2 4x) (x5) 1 (x5) h. 3x + 1(5x4) (b) answer: h0(v) = (c) answer: a0(m) = em 5 m (v3 5v)(2v + 3) (v2 + 3v)(3v2 5) (v3 5v)2. Answer: approximately 9. 375 thousand dollars (c) hint: compute the area between the m r and m c graphs from q = 25 to q = 30. Answer: approximately 5. 625 thousand dollars (d) answers: m c(q) = 0. 1q + 0. 5, v c(q) = 0. 05q2 + 0. 5q, t c(q) = 0. 05q2 + 0. 5q + 2. 5 q . Compute ac0(q), set it equal to 0, and solve for q (e) hint: ac(q) = 0. 05q + 0. 5 + 2. 5 to nd the critical number of ac(q). Use the second derivative test to show that this gives a local min of ac.
