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Quiz3__Key_Spring2008_123

Quiz3__Key_Spring2008_123 - x F ′ Evaluate 3 F and 3 F...

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