handout_11_18

handout_11_18 - AREAS AND DISTANCES 1. Express the...

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Unformatted text preview: AREAS AND DISTANCES 1. Express the following sums using the notation: (1) 13 + 23 + + 1003 (2) 1 + 3 + 5 + + 101 (3) 1 - 1 2 + 1 3 - 1 4 + 1 29 2. Write down the definition of the area under the given function on the given interval. Approximate the area using 4 intervals, with the specified sample points. (1) f (x) = x + 2 on [3, 11] with midpoints. (2) g(x) = 1 x on [1, 3] with left endpoints. (3) h(x) = 16 - x2 on [0, 4] with right endpoints. Date: November 18, 2009. 1 3. If there is a constant electric field E between two points distance d apart, the voltage difference between the points is E d. Two charged plates are separated by 1 m. The electric field is measured at various points between them. Tabulated below are the distance from the first plate, in cm, and the corresponding electric field, in volts per meter. Approximate the voltage difference between the two plates. Distance 0 Field 70 10 60 20 50 30 45 40 40 50 38 60 40 70 45 80 50 90 60 100 70 4. I recorded the speed of my car at certain times. Approximate the distance I travelled between 2pm and 4pm. What about between 3pm and 5pm? 2 : 00pm 2 : 15pm 2 : 45pm 40mph 60mph 80mph 3 : 00pm 60mph 3 : 30pm 50mph 4 : 00pm 4 : 45pm 5 : 00pm 40mph 20mph 40mph 2 ...
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This note was uploaded on 03/27/2012 for the course MATH 1a taught by Professor Benedictgross during the Fall '09 term at Harvard.

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handout_11_18 - AREAS AND DISTANCES 1. Express the...

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