Find the area between the curves x = |y|, x = -y + 8, y = 0. Approximate area to three decimal places.
A) 32
B) 16
C) 64
D) 8
E) 4

Question

Quizplus · Accepted Answer

The area between the curves is found by integrating the difference between the functions over the interval where they intersect. The curves intersect at y = 0 and y = 4. The area is calculated as the integral from 0 to 4 of ((-y + 8) - |y|) dy, which evaluates to 16.

Find the Area Between the Curves X = |Y|, X