Science:Math Exam Resources/Courses/MATH101/April 2005/Question 02 (a)/Statement

Full-Solution Problem. Justify your answer and show all your work. Simplification of your answer is not required.

Let $\displaystyle R$ be the finite region bounded above by the curve

$\displaystyle y=4-x^{2}$

and bounded below by

$\displaystyle y=2-x$.

Carefully sketch $\displaystyle R$ and find its area explicitly.