== 11. Evaluate z dr + dy + y dz where C is the curve of intersection of the sphere 2+ y²+2 = 1 and the plane+y+2 = 0.

Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle rolls along the x -axis given that P is at a maximum when x=0.

Sketch the section of the surface at y = 0. = 2 4 -2 -41 -6 61 4 -6 -- 61 4 -6 -4 6. 61 2 -6 -4 -2 6. -2 -6 -4 -2 4. 6.

Sketch the surface given by the equation x2+z2/3+y=3 indicating the points where the surface crosses thex , y, andzaxes.