Math150Quiz7S11

Math150Quiz7S11 - logarithms whenever they apply, as we...

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Math 150 Name: ________________________ QUIZ ON CHAPTER 7 MATH 150 – SPRING 2011 – KUNIYUKI 105 POINTS TOTAL, BUT 100 POINTS = 100% Show all work, simplify as appropriate, and use “good form and procedure” (as in class). Box in your final answers. No notes or books allowed. A scientific calculator is allowed. USE THE BACK OF THIS TEST IF YOU NEED MORE SPACE!! 1) Find the following derivatives. Simplify completely unless you are told not to. (61 points total) a) D w ln sin 4 w () ± ² ³ ´ () (6 points) b) D x log 9 5 x 2 ± x + 3 () [] (6 points) c) D x e 5 x ln x () 3 ± ² ³ ´ µ (8 points) You do not have to write your final answer as a single fraction.
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d) D x 3 x + 7 () 6 x 2 ± 3 () 4 2 x + 9 () 7 ² ³ ´ ´ ´ µ · · · You must use logarithmic differentiation and apply appropriate laws of
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Unformatted text preview: logarithms whenever they apply, as we have done in class. You do not have to write your final answer as a single fraction. (18 points) e) D x 5 x 3 + 4 (6 points) f) D x x + 2 ( ) cos x (17 points) You do not have to write your final answer as a single fraction. 2) Evaluate the following integrals. Simplify completely. (44 points total) a) ln x ( ) 3 x dx (8 points) b) e 2 x sec e 2 x + 1 ( ) dx (9 points) c) x 7 3 x 2 4 dx (8 points) d) 1 4 x + 5 dx 4 2 (10 points) Give an exact answer; do not approximate. e) tan x dx (9 points) You must show all work, as we have done in class!...
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This note was uploaded on 09/08/2011 for the course MATH 150 taught by Professor Bart during the Spring '06 term at Mesa CC.

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Math150Quiz7S11 - logarithms whenever they apply, as we...

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