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Respond to the following questions. You can work them on papers then scan and upload it or use Math Equation Editor in Insert to type your responses. I only grade the first response. There will be no grades for the second or third responses. If your response is similar or matched with any others, you and the other will both get zeros. You must include your name on each page. If I don't see your name, I might consider it is not your work. 1. (25 points) Consider the cubic function f (x) = ax³ + bx² + cx+d where a 0. Show that f can have zero, one, or two critical numbers and give an example of each case. 2. (25 points) Use Rolle's Theorem to prove that if f'(x) = 0 for all in an interval (a, b), then fis constant on (a, b). 3. (20 points) True or False. The product of two increasing functions is increasing. Clarify your answer. 4. (30 points) Find the point on the graph of f(x) = 4-² that is closest to the point (0, 1). Respond to the following questions. You can work them on papers then scan and upload it or use Math Equation Editor in Insert to type your responses. I only grade the first response. There will be no grades for the second or third responses. If your response is similar or matched with any others, you and the other will both get zeros. You must include your name on each page. If I don't see your name, I might consider it is not your work. 1. (25 points) Consider the cubic function f (x) = ax³ + bx² + cx+d where a 0. Show that f can have zero, one, or two critical numbers and give an example of each case. 2. (25 points) Use Rolle's Theorem to prove that if f'(x) = 0 for all in an interval (a, b), then fis constant on (a, b). 3. (20 points) True or False. The product of two increasing functions is increasing. Clarify your answer. 4. (30 points) Find the point on the graph of f(x) = 4-² that is closest to the point (0, 1).
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Related Book For
Foundations of Finance The Logic and Practice of Financial Management
ISBN: 978-0132994873
8th edition
Authors: Arthur J. Keown, John D. Martin, J. William Petty
Posted Date:
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