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Area Bounded by Two Curves

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(Please see the attachment for fig.)

Let R and S be the regions in the first quadrant shown in the figure. The region R is bounded by the x-axis and the graphs of y = 2 - x^3 and y = tan x. The region S is bounded by the y-axis and the graphs of y = 2 - x^3 and y = tan x.

a) Find the area of R.
b) Find the area of S.

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Solution Summary

The area bounded by two curves in a first quadrant is determined. The y-axis and graphs in the region are computed.

Solution Preview

Please refer attachment.

To determine areas S and R we have to first determine the coordinates of the point of intersection of the two curves (P). Also we have to determine the points of intersection of curve y = 2 -x3 with the x axis and y axis. ...

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