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 $R$ be the finite region bounded above by the curve

$y=4-x^2$

and bounded below by

$y=2-x$.

Carefully sketch $R$ and find its area explicitly.