MA 167 Group Assignment 7

# MA 167 Group Assignment 7 - MA 167 Group Work 7 Group Name...

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MA 167 – Group Work - 7 Group Name _________________________ Members ________________________ ________________________ ________________________ ________________________ Assignment due Friday 10/23/09 Derivatives 1. The length of some fish are modeled by a von Bertalanffy growth function. For Pacific halibut, this function has the form ) 956 . 0 1 ( 200 ) ( 18 . 0 t e t L - - = Where L(t) is the length (in centimeters) of a fish t years old. a. What is the length of a new-born halibut at birth? b. Use the formula to estimate the length of a 6-year-old halibut. c. At what age would you expect the halibut to be 120 cm long? d. What is the practical (physical) significance of the number 200 in the formula for L(t) ? e. Find the rate of change of the length as a function of time. f. At what rate is the fish growing at age t = 0, 1, 6 years? g. When will the fish be growing at a rate of 6 cm/yr? Trigonometry 2. You are on a ferris wheel. As the wheel rotates, your height above the ground at time

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MA 167 Group Assignment 7 - MA 167 Group Work 7 Group Name...

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