Find the Linearization of the Function at the Given Point $$f ( x , y ) = 4 x ^ { 2 } y ^ { 3 } \text { at } ( - 9,5 )$$

question 145

Multiple Choice

Find the linearization of the function at the given point.
- $$f ( x , y ) = 4 x ^ { 2 } y ^ { 3 } \text { at } ( - 9,5 )$$

• A) L(x, y) = -9000x + 24,300y - 162,000
• B) L(x, y) = 1000x - 2700y - 162,000
• C) L(x, y) = -9000x - 2700y - 162,000
• D) L(x, y) = 1000x + 24,300y - 162,000

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Definitions:

Glucose

A simple sugar that is an important energy source in living organisms and a component of many carbohydrates.

Hypertonic

A solution with a higher concentration of solutes compared to another solution, leading to osmosis.

Glucose Solution

A liquid preparation containing glucose, commonly used in medical settings for energy supply and fluid replacement.

Hydrostatic Pressure

The pressure exerted by a fluid at equilibrium due to the force of gravity, affecting every part of the fluid’s volume.