In a nutrient medium, the rate of increase in the surface area of a cell culture can be modelled by the quadratic function, S = -0.008t2 + 0.04t, where S is the rate of increase in the surface area, in square millimetres per hour, and t is the time, in hours, since the culture began growing. Find the maximum rate of

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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In a nutrient medium, the rate of increase in the surface area of a cell culture can be modelled by the quadratic function, S = -0.008t2 + 0.04t, where S is the rate of increase in the surface area, in square millimetres per hour, and t is the time, in hours, since the culture began growing. Find the maximum rate of increase in the surface area and the time taken to reach this maximum.
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