where W is in kg and t is in years. a. Differentiate this weight function. 2 W'(t) -0.19 (1 = 13.632e The weight of a lake trout as a function of age satisfies the formula W(t) = 23.9(1 – e-0.19t)³, - = Find its second derivative. W"(t) = -2.588e + 10.353e 7.765e Give both the t and W values for any points of inflection (t > 0). t₁ = 0.3375 yr. W(t₂) = = 1 kg. -e-0.19t) -0.191) -0.19t W'(t;) = -0.38t -0.57t The trout is gaining weight most rapidly at this point of inflection. Find this most rapid rate of growth. 0 kg/yr.

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