For the Given Function, Find All Critical Numbers $y = x ^ { 3 } - 3 x ^ { 2 } - 105 x + 5$

question 45

Multiple Choice

For the given function, find all critical numbers. $y = x ^ { 3 } - 3 x ^ { 2 } - 105 x + 5$

• A) \(x = 0\)
• B) \(x = - 7\) and \(x = - 5\)
• C) \(x = - 7\) and \(x = 5\)
• D) \(x = - 5\) and \(x = 7\)
• E) \(x = 5\) and \(x = 7\)

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Definitions:

Pahoehoe Lava

A type of basaltic lava flow with a smooth, unbroken, and often rope-like surface, characteristic of some Hawaiian volcano eruptions.

Aa Lava

A type of lava flow characterized by a rough, jagged surface formed from the cooling and solidification of basaltic lava.

Vesicles

Small cavities in volcanic rocks that are formed by gas bubbles trapped during the solidification of the rock.

Shield Volcanoes

Large, broad volcanoes with gentle slopes, built by the eruption of low-viscosity lava that can flow long distances.