Blog

A stone is released from rest from the edge of a building roof 190 m above the ground. Neglecting air resistance, the speed of the stone, just before striking the ground, is:

If   Vx = 6.80 units and   Vy = 7.40 units determine the magnitude and direction of V.

Write the equation in standard form of the parabola illustrated in the graph above.

Read the following statements about hyperbolas carefully and determine whether each statement is true or false. Enter T for true and F for false. The transverse axis of the hyperbola does not intersect the hyperbola [ans1] The midpoint of the two foci of a hyperbola is the center of the hyperbola [ans2] If the asymptotes of a hyperbola have the equations

Write a recursive formula for the sequence

Write the arithmetic sequence

Find a formula for the general term  of the sequence assuming the pattern of the first few terms continues and the first term is

Write down the first five terms of the sequence . Write your answer in simplest form.  [answer1] [answer2] [answer3] [answer4] [answer5]

Read the following statement carefully and determine for each one of them, whether the statement is true or false for ellipses. The foci always lie on the minor axis [ans1] The sum of the distances from the foci to any point on the ellipse (the constant sum) is greater than the distance between the foci [ans2] The sum of the distances from the vertices to any point on the ellipse is constant [ans3] Let be the equation of an ellipse, then the length of the major axis is  [ans4] Let be the equation of an ellipse, and let the coordinates of the foci be

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.