MATH 203 Study Guide - Midterm Guide: Inverse Function
3 Feb 2020
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Midterm 2018, questions
Differential & Integral Calculus I (Concordia University)
StuDocu is not sponsored or endorsed by any college or university
Midterm 2018, questions
Differential & Integral Calculus I (Concordia University)
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Studocu is not sponsored or endorsed by any college or university. Show all your work for full marks: (12 marks): (a) an open rectangular box (no top) has a square base. 2 log4(x) log4(x + 3) = 1 (c) find the inverse function f 1(x) of f (x) = ln (8 x3) and determine the domain and the range of f 1(x): (5 marks) Find (a) all horizontal and (b) all vertical asymptotes of the graph y = |4x 1| (x2 + 2) Find the limit or explain why the limit does not exist: (a) lim x 2 (b) lim x 5 x2 3x 10 x4 16. | x 5| x2 25: (4 marks) Find the second derivative of the function f (x) = x2e2x(x 2 + e 2x) and calculate its exact (not the approximate!) value f (1). (hint: rst simplify the function f ). (continued on the other side)
