Solve the Problem $f ( x ) = 0.0001 x ^ { 4 } - 0.1 x ^ { 2 } + 0.1$

question 195

Multiple Choice

Solve the problem.
-Estimate graphically the local maximum and local minimum of $f ( x ) = 0.0001 x ^ { 4 } - 0.1 x ^ { 2 } + 0.1$ .

• A) Local maximum: \(0.1\); local minima: \(\pm 24.9\)
• B) Local maximum: 0 ; no local minimum
• C) Local maximum: 0.1; no local minimum
• D) Local maximum: 0; local minima: \(\pm 22.4\)

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Definitions:

Heat of Fusion

The amount of energy required to change a substance from the solid phase to the liquid phase at its melting point without changing its temperature.

Phase Graph

A graphical representation showing the various phases (solid, liquid, gas) of a substance as a function of temperature and pressure.

Specific Heat Capacity

A physical property that describes the amount of heat energy required to raise the temperature of a substance by one degree Celsius (or one Kelvin).

Hydrogen Bonding

A weak bond between two molecules resulting from an electrostatic attraction between a proton in one molecule and an electronegative atom in the other.