P18Ans - Project 17/18 MAC 2233 1 The idea of a...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Project 17/18 MAC 2233 1. The idea of a differential is pretty simple if you can get past the notation. Consider the fol- lowing problem: Suppose the value (in dollars) of some electronic equipment t years from now is given by V ( t ) = 400 + 1600 1 + t 2 . Find the value of the equipment 1 year from now, and the rate at which the value of the equipment is changing with respect to time 1 year from now. Include units (very important for the next question). 1200 dollars; - $ 800 per year Based only on common sense and your answers to the previous two questions, explain what you would guess to be the value of the equipment 1 1 4 years from now. (Don’t plug in. ..guess!) 1000 dollars You just used differentials. Let’s show it. .. Start by calculating the formula for the differential dV . What quantity does it approximate? d V = - 3200 t (1 + t 2 ) 2 d t per year To approximate the change in value V from year 1 to year 1 1 4 , what would be the values of t and dt that you should put into the differential
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/27/2011 for the course MAC 2233 taught by Professor Smith during the Spring '08 term at University of Florida.

Page1 / 2

P18Ans - Project 17/18 MAC 2233 1 The idea of a...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online