Find the center and radius of the sphere.x2 + y2 + z2 – 12x – 14y + 2z = -5 Center:  ( [xvalue], [yvalue], [zvalue] ) Radius:  [radius]

Solve the problem.A pilot wants to fly on a bearing of N 62.7° E. By flying due east, he finds that a 55-mph wind, blowing from the south, puts him on course. Find the airspeed of the plane.

Solve the problem. (Give your answer as a terminating decimal.)Find x so that the vectors v = i + xj and w = -3i + 5j are orthogonal.

Give a geometric description of the set of points whose coordinates satisfy the given conditions. x2 + y2 + z2 ≥ 1

Solve the problem.A bullet is fired with a muzzle velocity of 1196 ft/sec from a gun aimed at an angle of 10° above the horizontal. Find the horizontal component of the velocity.

Identify the type of surface represented by the given equation. + – = 1

Find the center and radius of the sphere.x2 + y2 + z2 – 20x – 4y + 2z = -96 Center:  ( [xvalue], [yvalue], [zvalue] ) Radius:  [radius]

Solve the problem.A bullet is fired with a muzzle velocity of 1401 ft/sec from a gun aimed at an angle of 15° above the horizontal. Find the horizontal component of the velocity.

Find projwv.v = 3i – 2j; w = -2i + j

Solve the problem.A force of magnitude 8 pounds pulling on a suitcase makes an angle of 30° with the ground. Express the force in terms of its i and j components.