MATH 0220 Final: Math 0220 finals08-267

16 views3 pages
31 Jan 2019
School
Department
Course
Professor

Document Summary

Math 220 final exam sample 1: find the inverse function f 1(x) of f (x) = x+1. 2x+1: eliminate the parameter to nd a cartesian equation of the curve x = 2 3t, y = 4 t2. Identify the cartesian curve: given the function f (x) = |x|x to decide whether f (x) is di erentiable at x = 0, and if so, nd f (0). 3 , use the de nition of the derivative: find the derivatives of the following functions. It is not necessary to simplify your answers: f (x) = 4 sin(5x) 1, g(x) = e2x. 3 x2 + ln(3x: y = x3 tan 1(4x) d)y = (x + 1)x, h(t) = ln[(3t + 2)5(t 4), f (x) = x. Of all possible rectangles, nd the dimensions of the one with maximum area: we use newton"s method to nd the approximate value of the solution of the equation f (x) = 0.