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Unformatted text preview: Project 21 MAC 2311 YOU MUST SHOW YOUR WORK TO RECEIVE FULL CREDIT!! 1. The idea of a differential is pretty simple if you can get past the notation. Consider the following problem: Suppose the value (in dollars) of some electronic equipment t years from now is given by V ( t ) = 1000- 400ln(1 + t 2 ). Find the value of the equipment 1 year from now. (Round to the nearest dollar.) Find 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). 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 2 years from now. (Don’t plug in 2!!— guess!) You just used differentials (a linear approximation). Let’s show it... Start by calculating the formula for the differential dV . What quantity does it approximate? To approximate the change in cost from year 1 to year 2, what would be the values of t and dt that you should put into the differential...
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This note was uploaded on 01/13/2010 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.
- Fall '08