Conic Application

• 0.25 inch

• 1.5 inches

• 3 inches

• 6 inches

• 0.25 inch

• 1.5 inches

• 3 inches

• 6 inches

Problem 2. The reflector of a large, commercial flashlight has a shape of a parabolic dish, with diameter of 10 cm and a depth of 5 cm.

(A) What equation will the engineers and technicians use for the manufacture of the dish? Graph your answer and upload it in Google Classroom.

Problem 2. The reflector of a large, commercial flashlight has a shape of a parabolic dish, with diameter of 10 cm and a depth of 5 cm.

(B) How far from the vertex will the bulb (focus) be placed?

• 1.25 cm from the vertex

• 2.5 cm from the vertex

• 3.75 cm from the vertex

• 5 cm from the vertex

Problem 3. The reflector of an industrial spotlight has the shape of a parabolic dish with a diameter of 120 cm. The bulb is placed 11.25 cm above the vertex (the lowest point of the dish).

(A) What could be the equation of the parabolic dish?

Problem 3. The reflector of an industrial spotlight has the shape of a parabolic dish with a diameter of 120 cm. The bulb is placed 11.25 cm above the vertex (the lowest point of the dish).

(B) How deep is the parabolic dish?

• 1.33 cm

• 80 cm

• 5.2 cm

• 320 cm

Problem 4. A planet's orbit around the sun is elliptical with the sun at one focus. The maximum distance from the sun (aphelion) of planet Mars is approximately 156 million miles, while its minimum distance from the sun (perihelion) is about 128 million miles.

(A) What is the equation of the elliptical orbit of Mars? Upload your solution/complete work in Google Classroom.

• None of the above choices

• approximately 687 days

• approximately 487 days

• approximately 489 days

• None of the above choices

Problem 5. You are part of a team that will build tunnels. One of the requirement is for two (2) trucks, each 9 feet high and and 6 feet wide to be able to pass through the tunnel simultaneously. Moreover, the two trucks must be at least 1 foot away from each other, side by side.

Below are four (4) designs of the tunnel, all of which has a base width of 24 feet. Select ALL designs that will satisfy the requirement. Justify your choice/choices by providing necessary computations and illustrations.

Upload your work in Google Classroom.

Problem 6. How far from the edge of a

8 feet by 5 feet plywood must the ends of a string be fastened so that an ellipse is drawn and has dimensions 8 feet by 5 feet as well?

• approximately 0.9 feet from the edge

• approximately 0.4 feet from the edge

• approximately 1.8 feet from the edge

• none of the above