exam1sol_v1

exam1sol_v1 - Name: _ PID: _ TA: _ Sec. No: _ Sec. Time: _...

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Name: ____________________________ PID: ________________ TA: ______________________ Sec. No: _____ Sec. Time: ______ Math 10B. Midterm Exam 1 January 29, 2007 Turn off and put away your cell phone . 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. Find the general antiderivative of each of the following functions. (a) (2 points) f ( x ) = x 5 – 2 x 2 + 3. () 52 6 3 12 23 3 63 x xd x xx x −+ = + + C . (b) (2 points) f ( x ) = (2 x + 1) 2 . 2 2 4 21 4 41 2 3 x dx x x dx x x x C += + + = + + + ∫∫ . (c) (2 points) 5 () 2 fx x x =− . ( ) 1/2 3/2 55 22 4 5ln 3 x dx x dx x xC −= =−+ # Points Score 16 24 34 46 20 Σ
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2. (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? Time (sec) 0 1 2 3 4 5 Velocity (feet/sec) 0 10 30 50 70 90 Notice that the velocity is increasing (and this makes sense, seeing that the airplane is accelerating to take off.) Recall, that distance is the antiderivative of
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exam1sol_v1 - Name: _ PID: _ TA: _ Sec. No: _ Sec. Time: _...

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