You must be logged in to see worked solutions.

Already have an account? Log in here.

Parabolas, ellipses, and hyperbolas, oh my! Learn about this eccentric bunch of shapes.

What can we say about light rays that are shot out from the focus of a parabolic mirror, and reflected?

You must be logged in to see worked solutions.

Already have an account? Log in here.

In the above diagram, a right cone with vertex \(A=(0,16,32)\) and circular base with center \(O=(0,16,0)\) is standing on the \(xy\)-plane such that the origin is an endpoint of a diameter of the circular base. If \(\alpha\) is a plane which passes through both \(A\) and \(O,\) what is the area of the intersection between the cone and the plane \(\alpha?\)

You must be logged in to see worked solutions.

Already have an account? Log in here.

You must be logged in to see worked solutions.

Already have an account? Log in here.

The above diagram shows a portion of an infinite right cone and a circular cross section centered at \(O\) that is perpendicular to the axis of the cone. Suppose \(\angle ABC=60^\circ\) and \(\overline{MON}\) is a diameter of the circular cross section. If the shape cut by a plane containing \(\overline{MON}\) and a point \(D\) on the cone surface is a parabola, what is the value of \(x\) in degrees?

You must be logged in to see worked solutions.

Already have an account? Log in here.

You must be logged in to see worked solutions.

Already have an account? Log in here.

×

Problem Loading...

Note Loading...

Set Loading...