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Unformatted text preview: Ma 116 - Calculus II Hw-5 (Solutions) Due: April 8, 2011 Pledge and Sign : An important component of these written exercises is the quality of your presentation, including: legibility, organization of the solution, and clearly stated reasoning where appropriate. Points will be deducted for sloppy work or insufficient explanations. 1. Suppose that your weight w in pounds is a function f ( c,n ) of the number of calories you consume daily and the number n of minutes you exercise daily. Using units for w , c , and n , interpret in everyday terms the statements ∂w ∂c (2000 , 15) = . 02 and ∂w ∂n (2000 , 15) =- . 025 Solution : The units of ∂w/∂c are pounds per calorie. The statement ∂w ∂c (2000 , 15) = . 02 means that if your are presently consuming 2000 calories daily and exercising 15 minutes daily, you will weigh .02 pounds more for each extra calorie you consume daily (or about 2 pounds for each extra 100 calories per day). The units of ∂w/∂n are pounds per minute. ∂w ∂n (2000 , 15) =- . 025 means that for the same daily calorie consumption and minutes of exercise as above, you will weigh .025 pounds less for each extra minute of exercise (or about 1 pound less for each extra 40 minutes per day of exercise). 2. Designing safe boilers depends on knowing how steam behaves under changes in temperature and pressure. Steam tables, such as the one below, give the value of thetemperature and pressure....
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This note was uploaded on 10/09/2011 for the course MATHEMATIC MA116 taught by Professor Duboski during the Fall '11 term at Stevens.
- Fall '11