Please answer with workout ! full answers will be rated. Problem 1: A sphere S l
ID: 3373502 • Letter: P
Question
Please answer with workout ! full answers will be rated.
Problem 1: A sphere S lying in the first octant ( where x, y, and z are all greater than or equal to 0) has its center C in the plane with equation z=5 and is tangent to the xz-plane and the yz-plane. The distance fromthe origin to C is SQRT 43 (Square root of 43)
A) Find an equation for S of the form (x-a)^2 + (y-b)^2 + (z-c)^2 = r^2
B) Find the distance between the origin and the point where S touches the xz-plane.
Problem 2 : By setting one variable constant, find a plane that is parallel to a coordinate plane and intersects the surface consisting of all points (x,y,z) such that z^2 = x^2 * y^3 - y + 1
(A) in a parabola
(B) in a pai of parallel lines,
(C) in a pair of intersecting lines.
ONLY FULL ANSWERS WILL BE RATED