The weight of a lake trout as a function of age satisfies the formula where Wis in kg and t is in years. a. Differentiate this weight function. W' (t): = W(t) = 24(1e-0.221 3 Find its second derivative. W"(t) = Give both the t and W values for any points of inflection (t > 0). t₁ = W(t;) : = yr. kg. The trout is gaining weight most rapidly at this point of inflection. Find this most rapid rate of growth. W' (ti) = kg/yr.
The weight of a lake trout as a function of age satisfies the formula where Wis in kg and t is in years. a. Differentiate this weight function. W' (t): = W(t) = 24(1e-0.221 3 Find its second derivative. W"(t) = Give both the t and W values for any points of inflection (t > 0). t₁ = W(t;) : = yr. kg. The trout is gaining weight most rapidly at this point of inflection. Find this most rapid rate of growth. W' (ti) = kg/yr.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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