(a) Explanation Given information: Blood alcohol concentration: Researchers measured the average blood alcohol concentration C ( t ) of eight men starting one hour after consumption of 30 mL of ethanol (corresponding to two alcoholic drinks): The time interval are as follows: (i) [ 1.0 , 2.0 ] (ii) [ 1.5 , 2.0 ] (iii) [ 2.0 , 2.5 ] (iv) [ 2.0 , 3.0 ] Calculation: Average rate of change C with respect to t over [ 1.0 , 2.0 ] is = C ( 2 ) − C ( 1 ) 2 − 1 = 0.18 − 0.33 2 − 1 = − 0.15 mg/mL ⋅ hr Average rate of change C with respect to t over [ 1.5 , 2.0 ] is = C ( 2 ) − C ( 1 (b) To determine To estimate: the value of the derivative C ' ( 2 ) .

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Question

Chapter 3.1, Problem 33E

(a)

To determine

To find: the average rate of change of C with respect to t over each time interval.

(b)

To determine

To estimate: the value of the derivative C'(2) .

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Chapter 3.1, Problem 32E

Chapter 3.1, Problem 34E

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Biocalculus

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the average rate of change of C with respect to t over each time interval.

Solution Summary: The author calculates the average rate of change of C with respect to t over each time interval.