# hw 5 - ... 2 x f 00 ( x ) description 2 f ) Draw the graph...

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Calculus for the Life Science I MAT1330A , MAT1330B, MAT1330E Assignment 5 Due date: Oct. 28 Instructor (circle one): Jing Li , Catalin Rada , Frithjof Lutscher DGD (circle one): 1 , 2 , 3 , 4 Student Name (printed): Student ID Number: Question 1 Consider the function f ( x ) = x 5 / 3 e - x . a ) Find the roots of f to complete the following table. x f ( x ) b ) Compute the derivative of f . f 0 ( x ) = c ) Find the critical points of f to complete the following table. x f 0 ( x ) description 1 d ) Compute the second derivative of f . f 00 ( x ) = e ) Find the inﬂection points of f to complete the following table. 1 Determine where the function is increasing or decreasing, if there are local minimums or local maximums,

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Unformatted text preview: ... 2 x f 00 ( x ) description 2 f ) Draw the graph of f . Question 2 Find the global maximum and minimum of f ( x ) = x-1 x 2 + 8 on the interval [0 , 6]. Global maximum of at x = . Global minimum of at x = . Question 3 The size of a population as a function of time is given by the fonction p ( t ) = 5000 + 200 t 10 + t 3 , t . Find the global minimum and maximum of this function for t 0. Global maximum of at x = . Global minimum of at x = . 2 Determine if the function is concave up or down, if there are inection points, . .....
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## This note was uploaded on 04/08/2010 for the course MATH MAT1330 taught by Professor Rad during the Spring '10 term at University of Ottawa.

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hw 5 - ... 2 x f 00 ( x ) description 2 f ) Draw the graph...

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