Problem

General: Temperature The temperature in a refining tower is f (x) = x4 - 4x3 + 112 degre...

General: Temperature The temperature in a refining tower is f (x) = x4 - 4x3 + 112 degrees Fahrenheit after x hours (for 0 ≤ x ≤ 5).

a. Make sign diagrams for the first and second derivatives.

b. Sketch the graph of the temperature function, showing all relative extreme points and inflection points.

c. Give an interpretation of the positive inflection point.

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