Question

pleasw do them by hand if not mathematica.

A road's profile is given by the function y=xcos(듦)-22,for oss1s,wherexisthe 30 40 horizontal distance in miles, and y is the elevation in feet above sea level. 20 15 10 2 4 6 8 10 12 14 FOR THE FOLLOWING PROBLEMS, USE AT LEAST 3 DECIMAL PLACES OF PRECISION FOR COMPUTATIONS, BUT REPORT FINAL ANSWERS TO 1 DECIMAL PLACE. c) Your boss tells you to "make the road horizontal" by cutting off the hills and filling in the valley. Where do you make the cuts? If the road is 20 feet wide, how many cubic feet will you be moving? You can make use of Mathematica for this question. You may need to use the FindRoot command (see SCCC tutorial) to solve a difficult equation. Summarize all results below. Attach all Mathematica work.

Answer 1

r cos (3.2. x) , 22 (x) 1022 For making. culs, Hem ce We, μ at the hills from Ato 2 8 C to eyo erno. ις For ftx) 22 40 2 Roots obave 2. 4 0

40 2 α: 7.926 for nJ 40 2 x= 13.729 New, for n>2IS which is not in dlomaih A->B c→end Calalaliry the area f 10 Area

2. 40|Sin | 2 2 Sin Ot From χ:0 れみ: 7,926 Area 20 Sn22 20 | Sint즈 2- A to B Area 20 miles Volumc

to 2-225 Area * 20Sin S 40 20 -o.616 L to em 20.3 883 f* miles eo7 6S0.3177 f2 Total Wo lume o hil c ,265, 006.354 ft3
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