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

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.103TI: Solve, rounding answers to the nearest tenth. The quadratic function h(x)=16t2+128t+32 is used to...
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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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