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Unformatted text preview: Name: PID: Sec. No: Sec. Time: Math 10B Midterm 1 August 12, 2010 Please turn off and but away all electronic devices, except for calculators. You may use 1 page of handwritten notes, but no other resources during the exam. Show all of your work, no credit will be given for unsupported answers. Please write neatly and make sure the answer is clear. 1. (6 points) The table below shows a cars velocity, v ( t ), with respect to time, t . Time is in seconds and velocity is in feet per seconds. t 2 4 6 8 10 12 v ( t ) 70 73 76 80 85 90 100 (a) Find an overestimate for the distance traveled during this 12 second period. Use 3 left or right endpoint rectangles. Solution: Since n = 3, t = 4. Furthermore, v ( t ) increases, implying that the righthand Riemann sum provides an overestimate for distance traveled. In this case the overestimate is 4 76 + 4 85 + 4 100 = 1044 feet (b) Find an underestimate for the distance traveled during this 12 second period. Use 3 left or right endpoint rectangles....
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- Summer '10