MATH 226 Lecture 1: Calc Lecture 1

2. (4 points) Let R be the region in the xy-plane bounded by y = -x , the x-axis, and the y-axis. Determine the volume of the solid above the region R and below the graph of g(x, y) = xy 3 -3

blem 6. (10 points) Use a triple integral to find the volume of the given solid: The solid enclosed by the paraboloids z 2 + y2 and z = 18-2-ya Hint: In this case the region R in the plane is R = {(z,y) +92 9)