Exam 10: Extension A: Vector Functions

Find an equation of the sphere with center that touches the xy-plane.

Write an inequality to describe the half-space consisting of all points to the left of a plane parallel to the xz-plane and units to the right of it.

Write an inequality to describe the region consisting of all points between (but not on)the spheres of radius and centered at the origin.

Find the center and the radius of the sphere that has the given equation. + + - 6x + 4y = 0

Suppose you start at the origin,move along the x-axis a distance of units in the positive direction,and then move downward a distance of units.What are the coordinates of your position?

Find the distance from to the xy-planes.

Write inequalities to describe the solid upper hemisphere of the sphere of radius centered at the origin.

Find the length of each side of the triangle ABC and determine whether the triangle is an isosceles triangle,a right triangle,both,or neither. A (-1,0,1),B (1,1,-1),C (1,1,1)

Find the standard equation of the sphere with center C and radius r. C (3,-5,3); r = 7