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math10b winter09 midterm1

math10b winter09 midterm1 - Name TA Math 10B Midterm Exam 1...

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Name: PID: TA: Sec. No: Sec. Time: Math 10B. Midterm Exam 1 January 27, 2009 Turn off and put away your cell phone. You may use any type of calculator, but no other electronic devices during this exam. You may use one page of notes, but no books or other assistance during this exam. 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. If any question is not clear, ask for clarification. 1. (6 points) Evaluate the following integrals. (a) integraldisplay ( cos ( x ) - x 2 + 4 x ) dx (b) integraldisplay e 2 1 4 x dx # Points Score 1 6 2 8 3 6 4 8 Σ 28
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2. (8 points) Suppose that f and g are continuous functions such that integraldisplay 5 0 f ( x ) dx = 5, integraldisplay 5 4 f ( x ) dx = 11, integraldisplay 5 0 g ( x ) dx = 3, and integraldisplay 5 4 g ( x ) dx = - 3. Find the value of each of the following definite integrals: (a) integraldisplay 4 0 f ( x
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