x²-2x+1 1. The function P (x) = models the proportion of a person's x2 -2x+4 social network that has received a particular piece of "news" (or more generally, information) x hours after the person first learned of it. Assume x > 0. a. Find and interpret the y-intercept in the context of this problem. In other words, explain in some detail what the y-intercept tells you in the context of this problem. b. When will half of the person's social network have received the piece of news? c. Use the first derivative to find intervals of inreasing / decreasing. d. Use the first derivative to find any local max/min. e. Use the second derivative to find intervals of concave up / down. f. Use the second derivative to find any points of inflection. Then interpret the points of inflection in the context of this problem. Be specific about what it measures.
x²-2x+1 1. The function P (x) = models the proportion of a person's x2 -2x+4 social network that has received a particular piece of "news" (or more generally, information) x hours after the person first learned of it. Assume x > 0. a. Find and interpret the y-intercept in the context of this problem. In other words, explain in some detail what the y-intercept tells you in the context of this problem. b. When will half of the person's social network have received the piece of news? c. Use the first derivative to find intervals of inreasing / decreasing. d. Use the first derivative to find any local max/min. e. Use the second derivative to find intervals of concave up / down. f. Use the second derivative to find any points of inflection. Then interpret the points of inflection in the context of this problem. Be specific about what it measures.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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