MATH 215 Midterm: exam2w14
Document Summary
W2014, math 215 calculus iii, exam 2, 03/27/2014: (10 points) a thin wire takes the shape of the part of the parabola y = 1. 2x2 from (0, 0) to (1, 1 density at a given point (x, y) of the wire is given by (x, y) = x. The mass is: (10 points) find the area of the region inside the circle x2 +y2 = 2x but outside the circle x2 +y2 = 1. The region is shaded dark in the picture. y. The area is: (10 points) let e be the solid which lies between the spheres of radius 1 and 2 centered at the origin and lies above the surface z = px2 + y2. Rrre: (10 points) find the area of the part of the surface z = 1 + x + 1. 2y2 which lies above the triangle with vertices (0, 0), (0, 1), and (2, 1).
