MATH 101 Final: MATH101 Final Exam Sample with Solutions

20points 12. Let R be the region bounded by the curves: y-z? +2, y-x-3, z =-3, and 1-2. (a) Sketch the region R bounded by the given curves (b) Find the area of the region R.

2. Find the area indicated Sketch the region first (a) The area bounded by the r-axis and the curve y 21- (b) The area between the curvsy and y (c) The area between the curves y = r2 and-r + 2 ㄐ レ) 乙 (d) The area between the curves y r and y 25 (e) The area between the curve V rs-4x and the z-axis. ㄐ