Solve the Problem $x ^ { 2 } = 26.4 y$

question 75

Multiple Choice

Solve the problem.
-A 20-in. satellite dish for a television has parabolic cross sections. A coordinate system is chosen so that the vertex of a cross section through the center of the dish is located at (0, 0) . The equation of
The parabola is modeled by $x ^ { 2 } = 26.4 y$ where x and y are measured in inches. Where should the
Receiver be placed to maximize signal strength? That is, where is the focus?

• A) Focus: (0, 6.4); Place the receiver 6.4 in. above the center of the dish.
• B) Focus: (0, 6.6); Place the receiver 6.6 in. above the center of the dish.
• C) Focus: (0, 13.2); Place the receiver 13.2 in. above the center of the dish.
• D) Focus: (0, 12.8); Place the receiver 12.8 in. above the center of the dish.

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Definitions:

Risk Aversion

A person's or entity's reluctance to take risks, preferring lower returns with known risks over higher returns with unknown risks.

Total Risk

The complete range of possible risks, including both systematic and unsystematic risks, that can affect the value of an investment.

Portfolio Returns

The gain or loss on an investment portfolio over a period of time, reflecting the overall performance of the investments.

Roll's Critique

A theoretical argument suggesting that it is impossible to create a truly diversified market portfolio due to the vast number of assets in existence.