Blog

A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by rotating a parabola around its axis of symmetry. The receiver is to be located at the focus. If the dish is [across] feet across at its opening and [deep] feet deep at its center, where should the receiver be placed? Enter your answer rounded to two decimal places.

Find the infinite sum of the geometric sequence with [x] and [y]. If the sum does not exist, write DNE. Round your answer to two decimal places.

How many terms are in the expansion of

Find the number of terms in the finite arithmetic sequence {[x], [x]+[y], [x]+2*[y], [x]+3*[y], [x]+4*[y], … , [x]+[z]*[y]}

Read the following statements about parabolas carefully and determine for each one of them whether the statement is True or False. If the focus of a parabola is the point and the directrix has the equation

Given the equation of the parabola Find the vertex: [v] Find the focus: [f]

Given the ellipse

Write an explicit formula for the sequence:

Write the equation of the hyperbola illustrated in the graph above.

An arch has the shape of a semi-ellipse. The arch has a height of [b] feet and a span of [a] feet. Find an equation for the ellipse, and use that to find the distance from the center to a point at which the height is [y] feet. Round to the nearest hundredth.