Solve the Problem $3.8$ Meters in Diameter, That Collects Light from Space

question 37

Multiple Choice

Solve the problem.
-The quality of the images from an orbital telescope result from a large parabolic mirror, $3.8$ meters in diameter, that collects light from space.

Suppose that a coordinate system is chosen so that the vertex of a cross section through the center of is located at $( 0,0 )$ . Furthermore, the focal length of the mirror is $56.8 \mathrm {~m}$ . Assume that $x$ and $y$ are in meters. Write an equation of the parabolic cross section of the mirror for $- 1.9 \leq x \leq 1.9$ .

• A) \(x ^ { 2 } = 113.6 y\) for \(- 1.9 \leq x \leq 1.9\)
• B) \(x ^ { 2 } = 56.8 y\) for \(- 1.9 \leq x \leq 1.9\)
• C) \(y ^ { 2 } = 227.2 x\) for \(- 1.9 \leq y \leq 1.9\)
• D) \(x ^ { 2 } = 227.2 y\) for \(- 1.9 \leq x \leq 1.9\)

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Definitions:

Resource Constraints

Limitations on the availability of resources, such as time, money, and materials, that affect decision-making and outcomes.

Self-Sufficient

The ability of an individual or a community to provide for all of their needs, particularly in terms of producing food, without relying on external sources.

Opportunity Cost

The importance of the best alternative sacrifice due to choosing a particular path.

Bushel

A unit of volume that is used for measuring agricultural products such as grains, with the exact size varying by commodity and country.