For the Function $f ( x , y ) = x ^ { 2 } y ^ { 3 }$

question 73

Multiple Choice

For the function $f ( x , y ) = x ^ { 2 } y ^ { 3 }$ find a unit vector in the direction of the steepest increase at the point (a, b) = (1, 1) .

• A) \(\vec { u } = \frac { 2 } { \sqrt { 13 } } \vec { i } - \frac { 3 } { \sqrt { 13 } } \vec { j }\)
• B) \(\vec { u } = 2 \vec { i } + 3 \vec { j }\)
• C) \(\vec { u } = \frac { 2 } { \sqrt { 13 } } \vec { i } + \frac { 3 } { \sqrt { 13 } } \vec { j }\)
• D) \(\vec { u } = \frac { 2 } { \sqrt { 13 } } \vec { i } + \frac { 6 } { \sqrt { 13 } } \vec { j }\)

Analyze the effects of resource reallocation on production possibilities.

Appreciate the role of economists in supporting free trade and understanding economic indicators.

Understand the components and structure of the circular-flow diagram.

Identify and differentiate between factor and product markets.

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