The Function $f ( t ) = \frac { t } { t - 8 }$

question 24

Short Answer

The function $f ( t ) = \frac { t } { t - 8 }$ satisfies the hypotheses of the Mean Value Theorem on the interval $[ - 2,0 ]$ . Find all values of $c$ that satisfy the conclusion of the theorem.

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Definitions:

Compound Light Microscope

An optical instrument that uses visible light and a system of lenses to magnify images of small samples.

Base

A substance that can accept hydrogen ions in a solution and has a pH greater than 7 in its aqueous form.

Coarse Adjustment Knob

The coarse adjustment knob is a control on a microscope used to bring the specimen into general focus by moving the stage up or down.

Fine Adjustment Knob

A control on a microscope used to make small adjustments in focus, refining the clarity and detail of the viewed specimen.