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Unformatted text preview: Minor Axis = 16 ft 2b=16 b=8 ajor Axis = – = 140 112 28 ft = 28 14 1. Calculating Area Without Calculus. Explain how you would calculate the area of a cross section of the arch dam without using Calculus. Use your explanation to calculate the area of a cross section of the arch dam. Is the area you found exact? Why or why not? • Divide the crosssection into 3 simple geometric shapes (2 triangles and 1 rectangle) • Find the area of each region, then add them together for the total area of the given model: = A1 12b h = 12 16 = 70244 6588 ft2 = A2 12b h = = . 12 59389 11475 5 ft2 = = ( )= A3 lw 16 389 6224 ft2 = + + = + . + = . ATotal A1 A2 A3 6588 11475 5 6224 24287 5 ft2 Region A1 is not an actual triangle and contains area outside of the given model. Therefore, the entire area is an approximation. 2. Calculating Area With Calculus. Explain how you would calculate the area of a cross section of the arch dam using Calculus. Use your explanation to calculate the area of a cross section of the arch dam. Is arch dam using Calculus....
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This note was uploaded on 04/29/2010 for the course MATH 181 taught by Professor Rolon during the Spring '10 term at Northampton Community College.
 Spring '10
 ROLON
 Calculus

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