exam1_wi04

# exam1_wi04 - Time(sec 1 2 3 4 5 Velocity(feet/sec 10 30 50...

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Name: Section Number: TA Name: Section Time: Math 10B. Midterm Exam 1 January 29, 2004 Read each question carefully, and answer each question completely. Show all of your work. No credit will be given for unsupported answers. Write your solutions clearly and legibly. No credit will be given for illegible solutions. 1. (4 points) The following table gives the velocity of an airplane as it took oﬀ from a runway. If the airplane lifted oﬀ the runway after 5 seconds, what are the minimum and maximum distances the airplane could have covered on the runway?

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Unformatted text preview: Time (sec) 1 2 3 4 5 Velocity (feet/sec) 10 30 50 70 90 # Score 1 2 3 4 Σ 2. Find the general antiderivative of each of the following functions. (a) (2 points) f ( x ) = 2 x 8 (b) (2 points) f ( x ) = e 3 x (c) (2 points) f ( x ) = cos(2 x ) (d) (2 points) f ( x ) = x 3-2 x 2 + 3 3. (4 points) Suppose that Z x g ( t ) dt = 6 x 4-1 3 sin(3 x ). Find g (0). 4. (4 points) Find f ( x ), given f 00 ( x ) = x 3 + 2 x , f (0) =-1, f (0) = 1....
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exam1_wi04 - Time(sec 1 2 3 4 5 Velocity(feet/sec 10 30 50...

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