MATH 0120 Midterm: Math 0120 Exam 3 (0120) 2015 spring Solutions-320
Document Summary
0 (cid:16)5x3/2 + 2x 1/2(cid:17) dx = h2x5/2 + 4x1/2 i1. Substitution: u = 2 + e3x, du = 3e3x dx. Then dx = z 1 du = ln|u| + c = ln(cid:0)2 + e3x(cid:1) + c u: a car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is. Find the car"s average velocity (in m/s) between t = 0 and t = 4. your answer in exact form. Substitution: x = t + 1, dx = dt, x(0) = 1, x(4) = 5. By parts: u = ln x, du = x 1 dx, dv = dx, v = x. 4 1 m/s: find produser"s surplus at the market demand given that the demand function is d(x) = 100 0. 4x2 dollars and the supply function is s(x) = 0. 6x2 dollars.
