(Solved): 1. Sketch the region enclosed by the given curves. Draw a typical approximating rectangle and labe ...

1. Sketch the region enclosed by the given curves. Draw a typical approximating rectangle and label its height and width. Then find the area of the region. (a) \( y=3 x-x^{2}, \quad y=x, \quad x=3 \) (b) \( y=\cos x, \quad y=1-\cos x, \quad 0 \leq x \leq \pi \)