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# solution_c2pdf - armington(kma786 – 5.1 – Stepp...

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Unformatted text preview: armington (kma786) – 5.1 – Stepp – (55860) 1 This print-out should have 5 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Estimate the area under the graph of f ( x ) = sin x between x = 0 and x = π 2 using five approx- imating rectangles of equal widths and right endpoints. 1. area ≈ 1 . 109 2. area ≈ 1 . 149 correct 3. area ≈ 1 . 089 4. area ≈ 1 . 069 5. area ≈ 1 . 129 Explanation: An estimate for the area under the graph of f on [0 , b ] with [0 , b ] partitioned in n equal subintervals [ x i- 1 , x i ] = bracketleftBig ( i- 1) b n , ib n bracketrightBig and right endpoints x i as sample points is A ≈ braceleftBig f ( x 1 ) + f ( x 2 ) + . . . + f ( x n ) bracerightBig b n . For the given area, f ( x ) = sin x, b = π 2 , n = 5 , and x 1 = 1 10 π, x 2 = 1 5 π, x 3 = 3 10 π, x 4 = 2 5 π, x 5 = 1 2 π . Thus A ≈ braceleftBig sin parenleftBig 1 10 π parenrightBig + . . . + sin parenleftBig 1 2 π parenrightBigbracerightBig π 10 ....
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solution_c2pdf - armington(kma786 – 5.1 – Stepp...

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