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

question 142

Multiple Choice

Find the absolute maxima and minima of the function on the given domain.
- $$f ( x , y ) = 5 x y ^ { 2 } + 8 x y \quad \text { on the trapezoidal region with vertices } ( 0,0 ) , ( 1,0 ) , ( 0,2 ) \text {, and } ( 1,1 )$$

• A) Absolute maximum: 16 at (0, 2); absolute minimum: 0 at (0, 0)
• B) Absolute maximum: 10 at (2, 0); absolute minimum: 5 at (1, 0)
• C) Absolute maximum: 13 at (1, 1); absolute minimum: 5 at (1, 0)
• D) Absolute maximum: 13 at (1, 1); absolute minimum: 0 at (0, 0)

Recognize the importance of environmental factors and community infrastructure in disease prevention.

Understand the historical development of public health initiatives and their impact on community health.

Analyze the role of government and non-governmental organizations in the advancement of public health.

Identify key figures and their contributions to public health and nursing.

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