Find the Absolute Maxima and Minima of the Function on the Given

question 364

Multiple Choice

Find the absolute maxima and minima of the function on the given domain.
- $$f ( x , y ) = 4 x ^ { 2 } + 7 y ^ { 2 } \text { on the disk bounded by the circle } x ^ { 2 } + y ^ { 2 } = 9$$

• A) Absolute maximum: 36 at (3, 0) and (-3, 0); absolute minimum: 0 at (0, 0)
• B) Absolute maximum: 99 at (3, 3); absolute minimum: 0 at (0, 0)
• C) Absolute maximum: 63 at (0, 3) and (0, -3); absolute minimum: 0 at (0, 0)
• D) Absolute maximum: 63 at (0, 3) and (0, -3); absolute minimum: 36 at (3, 0) and (-3, 0)

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Definitions:

Ventricular Contractions

The heartbeats initiated by the lower chambers of the heart (ventricles), crucial for pumping blood throughout the body.

Active Transport

The movement of molecules across a cell membrane from a region of lower concentration to a region of higher concentration, utilizing energy, typically in the form of ATP.

Intracellular

Located or occurring within a cell or cells.

Extracellular

Situated or taking place outside a cell or cells.