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MATH 0120 - Business Calculus SAMPLE FINAL EXAM Solutions 1. [5 points] Find an equation of the line that passes through the points ( 2;3) and (4;6) Solution: m= 6 3 4 + 2 = 1 2, b= 3 1 2 ( 2) = 4. Equation: y= 1 2 x+ 4. 2. Evaluate the limit (a) [5 points] lim x!0 x2 2x x2 + 2x Solution: lim x!0 x2 2x x2 + 2x = lim x!0 x(x 2) x(x+ 2) = lim x!0 ...
Business Calculus I (Math 221) Exam 1. September 28, 2016. Professor Ilya Kofman. Justify answers and show all work for full credit. No calculators permitted on this exam. NAME: A. Problem 1 (20pts). The graph of y = f(x) is shown above.
Consider the domain of the function, and note any restrictions. (That is, avoid dividing by 0, taking a square root, or any even root, of a negative number, or taking the logarithm of 0 or a negative number.) 2. Find the U-intercept (if it exists) by substituting T=0 into ( T).
Fundamentals of Business Mathematics (CC BY-NC-SA) v. 2023-04-09 Page 8 of 60 campusontario.pressbooks.pub/fundamentalsofbusinessmath Write the algebraic expressions that represent solutions to the problems below. Use the ¿ , #,
6.Follow the steps to graph the stated function. f(x) = x3 + 12x, f0(x) = 3x2 + 12, and f00(x) = 6x. (a) (8 points) Make a sign diagram (or sign chart) for the rst derivative of f(x), and nd all open intervals of increase and all open intervals of decrease. (b) (8 points) Make a sign diagram (or sign chart) for the second derivative of f(x) and nd all open
29 mar 2018 · Input Function Output. The input is called the independent variable and the output is called the dependent variable. For example, if you think of a cyclist, then time is the independent variable and distance travelled is the dependent variable. We expressed the function in Example 1.1.2 as a formula.
Optimization problems. How to solve an optimization problem? 1. Step 1: Understand the problem and underline what is important ( what is known, what is unknown, what we are looking for, dots) 2. Step 2: Draw a “diagram”; if it is possible. 3. Step 3: Assign “symbols” or “variables” for all the quantities involved (know or unknown ...
