Find the Absolute Extreme Values of the Function on the Interval

question 284

Multiple Choice

Find the absolute extreme values of the function on the interval.
- $$f ( x ) = x ^ { 8 / 3 } , - 1 \leq x \leq 8$$

• A) absolute maximum is 512 at x = 8; absolute minimum is 0 at x = 01
• B) absolute maximum is 256 at x = 8; absolute minimum is 0 at x = 01
• C) absolute maximum is 256 at x = 8; absolute minimum is 1 at x = -1
• D) absolute maximum is 256 at x = 8; absolute minimum does not exist

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Definitions:

Landing Gear

The retractable legs used to support a semi-trailer when not coupled to a tractor; most have gear-actuated, retractable legs but hydraulic and lock-pin systems are also available.

Rigid Double-Drawbar System

A specific hitching setup in towing configurations where two drawbars are used in a rigid manner to link a truck and a trailer or between trailers.

Pivot Points

Locations on a vehicle or machinery where parts pivot or rotate around a fixed point, crucial for the movement or operation of certain components.

Semi-Trailer

A type of trailer designed to be attached and towed by a tractor unit, with a significant portion of its weight borne by the tractor.