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

question 248

Multiple Choice

Find the absolute maxima and minima of the function on the given domain.
- $$f ( x , y ) = 8 x ^ { 2 } + 9 y ^ { 2 } \text { on the closed triangular region bounded by the lines } y = x , y = 2 x \text {, and } x + y = 6$$

• A) Absolute maximum: 153 at (3, 3); absolute minimum: 0 at (0, 0)
• B) Absolute maximum: 153 at (3, 3); absolute minimum: 68 at (2, 2)
• C) Absolute maximum: 176 at (2, 4); absolute minimum: 0 at (0, 0)
• D) Absolute maximum: 176 at (2, 4); absolute minimum: 153 at (3, 3)

Recognize the symptoms and causes of economic depression and inflation.

Identify the factors leading to economic expansion and contraction.

Comprehend the role of consumer demand in economic cycles.

Understand the impact of unemployment on the economy.

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Definitions:

Group Goal

A target or objective sought by a collective group, which guides its actions and efforts.

Heterogeneous Goals

refer to objectives or aims that vary greatly among individuals or groups, often leading to diverse motivations and outcomes.

Hidden Agendas

Secret or unspoken motives or intentions behind certain actions or decisions, often diverging from the stated objectives.

Cooperative Group

A group of individuals working together towards a common goal or objective, emphasizing collaboration and mutual support.