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13 Nov 2019
8 ft The goal of this problem is to conpare methods of finding a maxim um:ç¿merical, analytic, and graphical The cross section of an irrigation canal is an isosceles trapezoids of which three sides are 8 feet long (see above). Determine the angle of elevation θ of the sides such that the area of the cross is a maximmm by completing the following. Be sure your calculator is in degree mode. 2 1. Find the cross-sectional area A as a function of θ. You'll have to look up the area of an isosceles trapezoid and find the dimensions in terms of θ 2. Fill out the table: Area 10 22.1 3. Find the maximum area on your table in part (2). Use your graphing calculator (or spreadsheet or your choice of technology) to generate an additional 20 rows of the table around that maximum and estimate the maximum cross-sectional area. For example, if 80 gives the maxinm, calculate angles 70°, 71, 72°. 89 90° to narrow in on the maximum 4. Use caleulus to find the critical mamber of the function in part (1) and find the angle that will yield the maximn cross-sectional area. 5. Graph the function in part (1) and verifly the maxiume
8 ft The goal of this problem is to conpare methods of finding a maxim um:ç¿merical, analytic, and graphical The cross section of an irrigation canal is an isosceles trapezoids of which three sides are 8 feet long (see above). Determine the angle of elevation θ of the sides such that the area of the cross is a maximmm by completing the following. Be sure your calculator is in degree mode. 2 1. Find the cross-sectional area A as a function of θ. You'll have to look up the area of an isosceles trapezoid and find the dimensions in terms of θ 2. Fill out the table: Area 10 22.1 3. Find the maximum area on your table in part (2). Use your graphing calculator (or spreadsheet or your choice of technology) to generate an additional 20 rows of the table around that maximum and estimate the maximum cross-sectional area. For example, if 80 gives the maxinm, calculate angles 70°, 71, 72°. 89 90° to narrow in on the maximum 4. Use caleulus to find the critical mamber of the function in part (1) and find the angle that will yield the maximn cross-sectional area. 5. Graph the function in part (1) and verifly the maxiume
Lelia LubowitzLv2
12 May 2019