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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The weight of a lake trout as a function of age satisfies
the formula
W(t) = 24(1e-0.2213.
where W is in kg and t is in years. a. Differentiate this weight
function.
W' (t) =
Find its second derivative.
W"(t) =
Give both the t and W values for any points of inflection
(t > 0).
ti =
yr.
W(ti) =
kg.
The trout is gaining weight most rapidly at this point of inflection.
Find this most rapid rate of growth.
W' (ti) =
kg/yr.
Transcribed Image Text:The weight of a lake trout as a function of age satisfies the formula W(t) = 24(1e-0.2213. where W is in kg and t is in years. a. Differentiate this weight function. W' (t) = Find its second derivative. W"(t) = Give both the t and W values for any points of inflection (t > 0). ti = yr. W(ti) = kg. The trout is gaining weight most rapidly at this point of inflection. Find this most rapid rate of growth. W' (ti) = kg/yr.
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