practice_test2 (1).pdf - Practice Exam 2 Math 201 Name...

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Practice Exam 2 Math 201 Name: Instructor: Feigon [1] 20 [2] 20 [3] 20 [4] 20 [5] 20 TOTAL Please leave these boxes blank! No books, calculators, or notes are allowed. Turn off cell phones, alarms, and anything else that makes noises. You must show all your work to receive credit. Good luck! [1] (20 pts) (a) (10 pts) Suppose f ( x ) is a differentiable function such that f (1) = 2 and f 0 ( x ) 5 for all x . What is the largest possible value for f (4)? (b) (10 pts) Find the absolute maximum and minimum values of the function f ( x ) = x 3 - 12 x + 1 on the interval [ - 1 , 3]. [1] (20 pts) Please leave blank!
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[2] (20 pts) (a) (15 pts) Compute a Riemann sum with four equal subdivisions and the midpoint rule to approximate the definite integral Z 1 - 1 1 - x 2 dx. (b) (5 pts) Explain (in words) why the exact answer is π/ 2 . [2] (20 pts) Please leave blank!
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[3] (a) (10 pts) Find an approximation for tan( 26 π 100 ) using calculus. (You do not need to give a decimal answer.)
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