TEST1KeySPRING08

TEST1KeySPRING08 - NAME_Solutions ID Math 2015 Test 1...

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Math 2015 Test 1 Spring, 2008 Instructions: Circle the answers to the 14 multiple choice questions. Answer the free response in the space provided. You must justify all work and only use methods discussed in class. Write your name and your student ID number at the top of the page, and sign the pledge. I will neither give nor receive unauthorized assistance on this exam. Signature: _____________________________________________ Free Response: 1.(12 pts) A function f ( x ) is given by the table below. x ! 5 ! 3 ! 1 1 3 5 f ( x ) 4 2 0 ! 1 1 1 Give estimates for f ( x ) ! 3 5 " dx using the methods described below: a. Using a right hand sum: 2 b. Using the trapezoidal rule: 3 c. Using Simpson’s rule: 3.3 d. Of these estimates, which is likely to be the most accurate? Why ? Simpson’e Rule uses parabolas to approximate the curve and is therefore usually most accurate. 2.(6 pts) Find x 2 ! 8 ! 2 4 " dx exactly, using methods we used in class. Simp with n = 2; ! x = 3
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TEST1KeySPRING08 - NAME_Solutions ID Math 2015 Test 1...

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