Describe the Trace of the Sphere $( x + 1 ) ^ { 2 } + ( y - 3 ) ^ { 2 } + ( z + 8 ) ^ { 2 } = 100$

question 23

Essay

Describe the trace of the sphere $( x + 1 ) ^ { 2 } + ( y - 3 ) ^ { 2 } + ( z + 8 ) ^ { 2 } = 100$ in
(a) the yz-plane and
(b) the plane
$x = 4$ .

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Definitions:

Inflation Rate

The rate at which prices for services and goods are increasing overall, leading to a decrease in buying power.

Expected Return

The anticipated return on an investment, considering both the probability and the impact of different outcomes.

Portfolio Standard Deviation

A measure of the volatility of the returns on a portfolio, indicating the portfolio's overall risk level.