Precise def. of a limit word problem

[Brittany M]

K I have an equation that I need some help solving or at least what do i do:

A Crystal growth furnace is used in research to determine how best to manufacture crystals used in electronic components for the space shuttle. For proper growth of the crystal, the temperature must be controlled accurately by adjusting the input power. Suppose the relationship is given by

T(w) = 0.1w^2 + 2.155w + 20

where T is the temperature in degrees Celcius and w is the power in watts.

If the temperature is allowed to vary from 200 degrees C by up to +1 degrees C, what range of wattage is allowed for the input power?


I am a little lost on how to start on this one...

 

[galactus]

I assume you mean the temperatire can vary 1 degree higher or lower than 200 C.

Set your equation equal to 199 and 201, solve for w.

You'll get two answers for each. One negative, one positive.