Analytic Geometry

MAT 172 Internet

Lab #3

Due at the final exam

Name___________________________________

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Solve the problem.

1) A building has an entry with the shape of a parabolic arch 66 feet high and 46 feet

wide at the base. Find an equation for the parabola if the vertex is placed at the origin

of the coordinate system.

66 ft

46 ft

1)

Solve.

2) A comet follows the hyperbolic path described by x2

5 -

y2

22 = 1, where x and y are in

millions of miles. If the sun is the focus of the path, how close to the sun is the vertex

of the path?

2)

3) A picture frame has a perimeter of 106 cm and a diagonal 1549 cm. What are the

dimensions?

3)

Find the vertices of the ellipse.

4) 3x2 + 5y2 - 42x + 40y + 212 = 0 4)

1

Solve the problem.

5) A cross-section of an irrigation canal is a parabola. If the surface of the water is 17 feet

wide and the canal is 2 feet deep at the center, how deep is it 1 feet from the edge?

5)

2