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Quiz3__Key_Spring2008_123

Course: CALC MA 123, Spring 2008
School: BU
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123 MA Section A1 Arazyan, Spring 2008 Quiz#3 Student Name ___________Key_________ Discussion Section #___ BU ID#_______________ Show all your work for full credit. 1. (10 points) Find the following derivative : d x2/3 2 dx e 2 x 3x Solution: d x2/3 2 dx e 2 x 3 x (2 / 3) x 1/ 3 ( x 2 / 3 ) (e 2 x (e 2 x 2 2 3x) (e 2 x 2 ( x 2 / 3 )(e 2 x 3x) 2 2 2 3x) 3x) 2 ( x 2 / 3 )(4 xe2 x 3x) 2 2 3) (e 2 x 2 3...

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123 MA Section A1 Arazyan, Spring 2008 Quiz#3 Student Name ___________Key_________ Discussion Section #___ BU ID#_______________ Show all your work for full credit. 1. (10 points) Find the following derivative : d x2/3 2 dx e 2 x 3x Solution: d x2/3 2 dx e 2 x 3 x (2 / 3) x 1/ 3 ( x 2 / 3 ) (e 2 x (e 2 x 2 2 3x) (e 2 x 2 ( x 2 / 3 )(e 2 x 3x) 2 2 2 3x) 3x) 2 ( x 2 / 3 )(4 xe2 x 3x) 2 2 3) (e 2 x 2 3 x1 / 3 (e 2 x 2 (4 x 5 / 3e 2 x 3x) (e 2 x 2 3x 2 / 3 ) 3x) (10 2 2. points) The body temperature (in degrees Fahrenheit) of a patient t hours after being 4 given a fever-reduction drug is given by F (t ) 98 . Find F (x). Evaluate F (3) t 1 and F (3) . Write a brief verbal interpretation of these results. Solution: F (3) 100 F (t ) F (3) 2(t 1) 1 4 3/ 2 2 (t 1) 3 The body temperature of a patient 3 hours after being given a fever-reduction drug is 100 degrees Fahrenheit, and it decreases at the rate of -1/4 degrees per hour.
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