Area Between 2 Curves Mini Project
Anna, Rachel, Meredith, Swarangi, 3rd Period
Puerto Rico
Because we subtracted another part on the side, there is only one point of intersection between the top and bottom equations.
Data Points Used for Top Curve
(0.01, 2.67)
(0.60, 3.07)
(0.81, 3.62)
(1.44, 3.51)
(1.95, 3.48)
(2.34, 3.53)
(2.84, 3.38)
(3.44, 3.46)
(4.10, 3.27)
(4.52, 3.47)
(5.37, 3.31)
(5.95, 3.25)
(6.30, 3.20)
(6.86, 3.16)
(7.52, 2.96)
(8.09, 2.35)
(8.15, 1.76)
Data Points Used for Bottom Curve
(0.18, 0.15)
(0.70, 0.16)
(1.50, 0.15)
(2.18, .024)
(2.68, 0.43)
(3.24, 0.31)
(4.22, 0.24)
(4.95, 0.13)
(5.76, 0.19)
(6.07, 0.20)
(6.82, 0.40)
(7.03, 0.59)
(7.23, 0.84)
(7.41, 1.11)
(7.53, 1.50)
(8.15, 1.76)
Data Points Used for Side Curve
Another thing to note is that we turned our graph sideways for this (inverted the X and Y values) to make it pass the vertical line test and be a true function. The points listed below have been inverted.
(0.00, 0.03)
(0.44, 0.18)
(0.76, 0.47)
(1.00, 0.60)
(1.35, 0.44)
(1.69, 0.36)
(2.04, 0.28)
(0.30, 2.48)
Equation Used for Top Curve
Equation Used for Bottom Curve
Equation Used for Side Curve
Calculus
Answer
Actual Area
This leaves us with a 9.3% error.
http://www.nationsencyclopedia.com/economies/Americas/Puerto-Rico.html