HH_14_1-14_2

HH_14_1-14_2 - (10/28/08) Math 10C. Lecture Examples....

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Unformatted text preview: (10/28/08) Math 10C. Lecture Examples. Sections 14.1 and 14.2. Partial derivatives Example 1 The table below is from a study of the effect of exercise on the blood pressure of women. P = P ( t , E ) is the average blood pressure, measured in millimeters of mercury (mm Hg), of women of age t years who are exercising at the rate of E watts. (1) (One watt is 0.86 Calories per hour.) What is the approximate rate of change with respect to age of the average blood pressure of forty-five-year old women who are exercising at the rate of 100 watts? P = P ( t , E ) (millimeters of mercury) t = 25 t = 35 t = 45 t = 55 t = 65 E = 150 178 180 197 209 195 E = 100 163 165 181 199 200 E = 50 145 149 167 177 181 E = 122 125 132 140 158 Answer: P t (45 , 100) 1 . 8 millimeters of mercury per year (using a right difference quotient); or P t (45 , 100) 1 . 6 millimeters of mercury per year (using a left difference quotient); or P t (45 , 100) 1 . 7 millimeters of mercury per year (using a centered difference quotient)...
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HH_14_1-14_2 - (10/28/08) Math 10C. Lecture Examples....

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