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A laboratory designed a radio telescope that had a diameter of 300 ft and maximum depth of 44 ft. (a)Write an equation of a parabola that models the cross section of the dish if the vertex is placed at the origin and the parabola opens up. (b)The receiver must be placed at the focus of the parabola. How far from the vertex should the receiver be located? (a) The equation of the parabola is (Simplify your answer. Use integers or fractions for any numbers in the equation.) (b) The receiver should be located at approximately ft above the vertex. (Type an integer or decimal rounded to the nearest tenth as needed.)

A laboratory designed a radio telescope that had a diameter of 300 ft and maximum depth of 44 ft. (a)Write an equation of a parabola that models the cross section of the dish if the vertex is placed at the origin and the parabola opens up. (b)The receiver must be placed at the focus of the parabola. How far from the vertex should the receiver be located? (a) The equation of the parabola is (Simplify your answer. Use integers or fractions for any numbers in the equation.) (b) The receiver should be located at approximately ft above the vertex. (Type an integer or decimal rounded to the nearest tenth as needed.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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K A laboratory designed a radio telescope that had a diameter of 300 ft and maximum depth of 44 ft. (a)Write an equation of a parabola that models the cross section of the dish if the vertex is placed at the origin and the parabola opens up. (b)The receiver must be placed at the focus of the parabola. How far from the vertex should the receiver be located? (a) The equation of the parabola is. (Simplify your answer. Use integers or fractions for any numbers in the equation.) (b) The receiver should be located at approximately ft above the vertex. (Type an integer or decimal rounded to the nearest tenth as needed.)
Transcribed Image Text:K A laboratory designed a radio telescope that had a diameter of 300 ft and maximum depth of 44 ft. (a)Write an equation of a parabola that models the cross section of the dish if the vertex is placed at the origin and the parabola opens up. (b)The receiver must be placed at the focus of the parabola. How far from the vertex should the receiver be located? (a) The equation of the parabola is. (Simplify your answer. Use integers or fractions for any numbers in the equation.) (b) The receiver should be located at approximately ft above the vertex. (Type an integer or decimal rounded to the nearest tenth as needed.)
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