Science:Math Exam Resources/Courses/MATH200/December 2013/Question 05 (a)/Solution 1

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We have to start by drawing the following curves to see the domain of integration

and are just horizontal lines at and respectively (shown below).

nw25UXO.png

represents a line


represents half a circle of radius defined for . In our case, only the part of the half circle in the first quadrant is necessary because of and .

z8Plae8.png


As a result, the domain of integration is the area bounded by these four curves.

nFlg25I.png