Lab 8 - Lab 8 Name: Andrea Freeman Section: 4 Exercise 1:...

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Unformatted text preview: Lab 8 Name: Andrea Freeman 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? STEP 1- DEFINE FUNCTION AND FIND CRITICAL POINTS: syms t H = 6*(t^(1/2)) - (3*t) H = 6*t^(1/2)-3*t dHdt=diff(H,t) pretty(dHdt); critical_points = solve(dHdt,t) dHdt = 3/t^(1/2)-3 3---- - 3 1/2 t critical_points = 1 c1=1 c1 = 1 *There is one critical point, which is at t=1 month. STEP 2- CLASSIFYING CRITICAL POINTS WITH THE FIRST DERIVITIVE TEST: fplot('[6*t^(1/2)-3*t,3/t^(1/2)-3]',[0,2]) title('Graph of Height of a given plant vs Time') xlabel('Time in months') ylabel('Height in feet and change of Height ft/mo') legend('Height', 'Rate of change of height') grid on 1 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2-5 5 10 15 20 25 30 35 40 45 Graph of Height of a given plant vs Time Time in months Height in feet and change of Height ft/mo...
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This homework help was uploaded on 04/17/2008 for the course MAP 2480 taught by Professor Monicahurdal during the Fall '07 term at FSU.

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Lab 8 - Lab 8 Name: Andrea Freeman Section: 4 Exercise 1:...

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