Find the Critical Point(s) of the Function

question 200

Multiple Choice

Find the critical point(s) of the function.Then use the second derivative test to classify the nature of each point, if possible.Finally, determine the relative extrema of the function.

• A)(1, 5) and (2, 5); saddle point: f(1, 5) = - 46; relative minimum value: f(2, 5) = - 47
• B)(2, 5); relative maximum value: f(2, 5) = 47
• C)(1, 5); saddle point: f(1, 5) = - 46
• D)(1, 5) and (2, 5); relative maximum value: f(1, 5) = - 47; relative minimum value: f(2, 5) = 46
• E)there are no critical points

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Definitions:

Topographic Relief

The difference in elevation of one feature relative to another; synonym: relief.

Stratigraphic Section

A vertical profile or cross-section through sedimentary rocks or soils showing the sequence and relationship of strata.

Relative Thicknesses

Refers to the comparison of thickness between different layers or sections within a geological or material context.

Rock Units

Distinct continuous layers or bodies of rock that can be identified and mapped across a region.