Questions from General Calculus

Q: Reduce the equation to one of the standard forms, classify the

Reduce the equation to one of the standard forms, classify the surface, and sketch it. y2 = x2 + 4z2 + 4

Q: Reduce the equation to one of the standard forms, classify the

Reduce the equation to one of the standard forms, classify the surface, and sketch it. x2 - y2 + z2 - 4x - 2z = 0

Q: Reduce the equation to one of the standard forms, classify the

Reduce the equation to one of the standard forms, classify the surface, and sketch it. 4x2 + y2 + z2 - 24x - 8y + 4z + 55 = 0

Q: Determine whether the lines L1 and L2 are parallel, skew,

Determine whether the lines L1 and L2 are parallel, skew, or intersecting. If they intersect, find the point of intersection. L1: x = 5 - 12t, y = 3 + 9t, z = 1 - 3t L2: x = 3 + 8s, y = -6s, z = 7 +...

Q: Describe and sketch the surface. 4x2 + y2 = 4

Describe and sketch the surface. 4x2 + y2 = 4

Q: Graphs of the velocity functions of two particles are shown, where

Graphs of the velocity functions of two particles are shown, where t is measured in seconds. When is each particle speeding up? When is it slowing down? Explain.

Q: Use a computer with three-dimensional graphing software to graph the

Use a computer with three-dimensional graphing software to graph the surface. Experiment with viewpoints and with domains for the variables until you get a good view of the surface. x2 - y2 - z = 0

Q: Use a computer with three-dimensional graphing software to graph the

Use a computer with three-dimensional graphing software to graph the surface. Experiment with viewpoints and with domains for the variables until you get a good view of the surface. -4x2 - y2 + z2 = 0...

Q: Use a computer with three-dimensional graphing software to graph the

Use a computer with three-dimensional graphing software to graph the surface. Experiment with viewpoints and with domains for the variables until you get a good view of the surface. x2 - 6x + 4y2 – z...

Q: Sketch the region bounded by the paraboloids z = x2 + y2

Sketch the region bounded by the paraboloids z = x2 + y2 and z = 2 - x2 - y2.