MAT - 127 - Calculus for Bus, Life & Social Sciences I

Introduction to calculus with applications to business, life, and social sciences. Functions and graphs, limits, the derivative, techniques of differentiation, curve sketching, maximum/minimum problems, exponential and logarithmic functions, and exponential growth and decay.

Prerequisite(s)

MAT-064, MAT-093 or MAT-097 (C- or better) or placement at college-level on math placement test.

Problems

  1. Given the graph of f(x), find lim  x → -4-
    line 1 with a point at -4,3 a line with points at -4, -2; -1, 4; 2, -1; and a line with points 2, 5 and 4, 2
  2. Find the derivative of f(x) = 3√ x5 
  3. The profit equation of a product is given by P(x)=-x2+44x+10.  For what value of x is the profit maximized?

Answers/Solutions

  1. 3
  2. f’(x) = 5/33√ x2 
  3. 22