The membership of The Fitness Center, which opened a few years ago, is approximated by the function N(t) = 100 * (4t + 64) ^ (3/2) (0 <= t <= 52) , where N(t) gives the number of members at the beginning of week

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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The membership of The Fitness Center, which opened a few years ago, is approximated by the function N(t) = 100 * (4t + 64) ^ (3/2) (0 <= t <= 52) , where N(t) gives the number of members at the beginning of week . a). How fast was the membership increasing at the beginning of the 30 week? b). What was the membership when the center first opened? At the beginning of the 30th weck?

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