Let F(x, Y) = $\ln ( x y )$ (A) Evaluate $f \left( 3 , \frac { 1 } { 3 } \right)$

question 15

Essay

Let f(x, y) = $\ln ( x y )$ (a) Evaluate $f \left( 3 , \frac { 1 } { 3 } \right)$ .(b) Find the domain of f.(c) Find the range of f.

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Definitions:

Sequence of Decisions

A series of choices made over time, where each choice might be influenced by past decisions, expected to lead to a desired outcome.

Decision Tree

is a graphical tool used in decision-making, which represents different choices and their possible outcomes, including chance event outcomes, resource costs, and utility.

EMV

Stands for EuroPay, MasterCard, and Visa, a standard for the interoperability of chip cards and chip-card capable payment terminals and ATMs, for authenticating credit and debit card transactions.

Maximin Criterion

A decision-making rule used for minimizing the worst-case scenario loss.