Property bounded by two perpendicular roads and a stream is shown in the figure. All distances are measured in feet.

(a) Use the regression capabilities of a graphing utility to fit a fourth-degree polynomial to the path of the stream.(b) Use the model in part (a) to approximate the area of the property in acres.(c) Use the integration capabilities of a graphing utility to find the length of the stream that bounds the property.

Transcribed Image Text:

600(0,540) 400 200 (50, 390) (150, 430) (100, 390) (200,425) 200 (250, 360) (300, 275) (350, 125) (400, 0) 400 600 X