# - Math 133 Dr Kurtz Sample Exam 1 Name Section No TA Instructions Please show all of your work Credit will not be given for answers with no

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Math 133 Sample Exam 1 Name___________________ Dr. Kurtz Section No.______________ TA_____________________ Instructions : Please show all of your work. Credit will not be given for answers with no supporting work. 1. (21 pts) Compute dy dx . (a) 3 x yx e = 23 1 3 2 xx e x e x −− ⎛⎞ =+− ⎜⎟ ⎝⎠ (b) 2 ln( 1) x ye + = 2 y x ′ = (c) ln (ln ) x y x = ln ln(ln ) 1 (ln ) x x x x =+ 2. (21 pts) Evaluate the integrals. (a) 2 2 55 ln(1 2 ) 12 4 x dx x C x + + (b) 2 22 1 ln(2 ) 1 1 (ln 4) (ln 2) x dx x =− (c) ln 2 2 0 3 8 x ed x =

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3. (14 pts) Suppose that the number of bacteria in a colony grows according to dN kN dt = If the colony starts with 100 bacteria and has a doubling time of 30 minutes, how many bacteria will there be in the colony after 24 hours? 48 100(2) N = 4. (20 pts) The finite region in the first quadrant bounded by
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## This note was uploaded on 05/24/2011 for the course MTH 133 taught by Professor Staff during the Spring '08 term at Michigan State University.

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- Math 133 Dr Kurtz Sample Exam 1 Name Section No TA Instructions Please show all of your work Credit will not be given for answers with no

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