History:
The William and Elaine Kaplan Recreation Center is the central location of both women’s and men’s basketball games during the winter season. Opening in 1992, this gymnasium is home to a NCAA-regulation basketball and volleyball court, a weight room, an aerobic room, athletic training facilities, and classrooms. To find the area
under the curve of the three point line on the basketball court Reimann Sum and Simpson’s Rule can be used. The equations using left hand and right hand approximations when finding the area are listed below.
Problem:
Find the area under the curve of the three point line, using right hand and left hand approximations, and Simpson’s Rule. Compare the answers and convert the answers to ft2.
· Left Hand Side:
∆x [f(x0)+f(x1)+f(x2)+….f(xn-1)]
· Right Hand Side:
∆x [f(x1)+f(x2)+f(x3)+….f(xn)]
· Simpson’s Rule:
∆x/3 [f(x0)+4f(x1)+2f(x2)+4(fx3)+2(fx4)….f(xn)]
After using a tape measure to find the measurements of our rectangles and our delta x (∆x), we plugged the numbers into the appropriate equations to find our answers.
The William and Elaine Kaplan Recreation Center is the central location of both women’s and men’s basketball games during the winter season. Opening in 1992, this gymnasium is home to a NCAA-regulation basketball and volleyball court, a weight room, an aerobic room, athletic training facilities, and classrooms. To find the area
under the curve of the three point line on the basketball court Reimann Sum and Simpson’s Rule can be used. The equations using left hand and right hand approximations when finding the area are listed below.
Problem:
Find the area under the curve of the three point line, using right hand and left hand approximations, and Simpson’s Rule. Compare the answers and convert the answers to ft2.
· Left Hand Side:
∆x [f(x0)+f(x1)+f(x2)+….f(xn-1)]
· Right Hand Side:
∆x [f(x1)+f(x2)+f(x3)+….f(xn)]
· Simpson’s Rule:
∆x/3 [f(x0)+4f(x1)+2f(x2)+4(fx3)+2(fx4)….f(xn)]
After using a tape measure to find the measurements of our rectangles and our delta x (∆x), we plugged the numbers into the appropriate equations to find our answers.
Area Under the Curve Worksheet and Solution | |
File Size: | 392 kb |
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