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handout_11_18

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

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AREAS AND DISTANCES 1. Express the following sums using the Σ notation: (1) 1 3 + 2 3 + · · · + 100 3 (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 - x 2 on [0 , 4] with right endpoints. Date : November 18, 2009. 1

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

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