{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lab 8

# Lab 8 - Lab 8 Name Andrea Freeman Section 4 Exercise 1 It...

This preview shows pages 1–3. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 -5 0 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 Height Rate of change of height *From the graphs we can see that t=1 month is a local maximum.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 4

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online