# Area Between 2 Curves Mini Project

## Puerto Rico

Point of intersection: (8.15, 1.76)

Because we subtracted another part on the side, there is only one point of intersection between the top and bottom equations.

(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)

(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

This is the second equation we used to subtract from the top 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)

## Calculus

We chose the number 105 as the denominator of the scale factor because that is the actual length of the island.