Math150Quiz3S11

Math150Quiz3S11 - Math 150 Name: _ QUIZ ON CHAPTER 3 MATH...

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Math 150 Name: ________________________ QUIZ ON CHAPTER 3 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. YOU MAY CONTINUE PROBLEMS ON THE BACK OF THIS TEST, BUT NUMBER THEM! 1) Use the limit definition of the derivative to prove that D x cos x () = ± sin x , as we have done in class. Show all steps! (12 points) NOTE: THIS IS THE ONLY PROBLEM ON THIS TEST WHEN YOU WILL NEED TO USE THE LIMIT DEFINITION OF THE DERIVATIVE!
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2) A particle moving along a coordinate line has as its position function s , where st () = 3 t + 2 2 3 , for t ± 1 . Position s is measured in meters, and time t is measured in seconds. Find the velocity of the particle at time t = 8 (seconds). Write an exact answer using correct units. (8 points)
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3) If fx () = 9 ± x 2 , is f differentiable on the interval ± 3, 3 ² ³ ´ µ ? Box in one: (2 points) Yes No 4) Let = 3 x ± 1 3 . Find an equation of the tangent line to the graph of f at the point 1, 8 . You may use any form. (8 points)
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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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Math150Quiz3S11 - Math 150 Name: _ QUIZ ON CHAPTER 3 MATH...

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