# HW 8 - Lab 8 Name: _Ryan Corley _ Section: _4 _ Exercise 1:...

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

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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 2-5 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?...
View Full Document

## This note was uploaded on 04/17/2008 for the course MAP 2480 taught by Professor Monicahurdal during the Fall '07 term at FSU.

### Page1 / 4

HW 8 - Lab 8 Name: _Ryan Corley _ Section: _4 _ Exercise 1:...

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

View Full Document
Ask a homework question - tutors are online