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Unformatted text preview: Lab 8 Name: _Ryan Corley _ Section: _4 _ Exercise 1: It is known from past experiments that the height (in feet) of a given plant after t months is given approximately by 1/ 2 ( ) 6 3 H t t t = for 0 t 2 . (a) How long will it take a plant to reach its maximum height? clear syms t A=(6*t^.5)(3*t) dAdt=diff(A,t) pretty(dAdt) A = 6*t^(1/2)3*t dAdt = 3/t^(1/2)3 3  3 1/2 t critical_points=solve(dAdt,t) critical_points = 1 There is one critical point that occurs at t=1 month. c1=critical_points(1) c1 = 1 fplot('[(6*t^(1/2)3*t),3/t^(1/2)3]',[0,2]) title('Plants Height (ft) Versus Time and Rate of Growth (ft/mo)') xlabel('Time (months)') ylabel('Plant Height (ft) and Rate of Change (ft/mo)') legend('(Height)','Rate of Change') grid on 1 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 25 5 10 15 20 25 30 35 40 45 Plants Height (ft) Versus Time and Rate of Growth (ft/mo) Time (months) Plant Height (ft) and Rate of Change (ft/mo) (Height) Rate of Change T=1 is a local maximum (b) What is the maximum height of the plant?(b) What is the maximum height of the plant?...
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This note was uploaded on 04/17/2008 for the course MAP 2480 taught by Professor Monicahurdal during the Fall '07 term at FSU.
 Fall '07
 MonicaHurdal

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