Find the Derivative of the Function at P0 in the Direction

question 404

Multiple Choice

Find the derivative of the function at P0 in the direction of u.
- $f ( x , y , z ) = \ln \left( x ^ { 2 } + 9 y ^ { 2 } - 7 z ^ { 2 } \right) , \quad P _ { 0 } ( 9,9,9 ) , \quad \mathbf { u } = 3 \mathbf { i } + 4 \mathbf { j }$

• A) \(\frac { 26 } { 15 }\)
• B) \(\frac { 13 } { 15 }\)
• C) \(\frac { 52 } { 45 }\)
• D) \(\frac { 26 } { 45 }\)

Calculate and understand the implications of the simple spending multiplier based on the marginal propensity to consume and save.

Recognize how changes in the price level influence consumption, exports, and the aggregate demand curve.

Understand the relationship between the marginal propensity to consume (MPC) and the spending multiplier.

Comprehend the role of the price level in defining the aggregate demand and expenditure in an economy.

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