Consider the Curve Traced by

question 29

Essay

Consider the curve traced by .
This curve lies on both a sphere and a plane.
A) Find the equation of the sphere.
B) Find the equation of the plane.
C) Explain why the curve traced by lies on a circle.

• A) Find the equation of the sphere.
• B) Find the equation of the plane.
• C) Explain why the curve traced by lies on a circle.

---

Definitions:

Normally Distributed Returns

A pattern in the investment world where the returns of a financial instrument are symmetrically distributed around the mean.

Standard Deviation

A statistical measure that quantifies the amount of variation or dispersion in a set of data points.

Risk-free Asset

An investment that is assumed to have no risk of financial loss, typically represented by government bonds.

Nominal Terms

Values or figures that have not been adjusted for inflation, representing current prices or values.