calc question – epsilon and delta

A crystal growth furnace is used in research to determine howbest to manufacture crystals used in electric components for thespace shuttle. For proper growth ofthe crystal, the temperaturemust be controlled accurately by adjusting the input power. Supposethe relationship is given by the following equation, whereT isthe temperature in degrees Celsius and w isthe power input in watts.T(w) =0.1w2 + 2.158w + 20
(a) How much power is needed to maintain the temperature at196°C? (Give your answer correctto 2 decimal places.)

(b) If the temperature is allowed to vary from 196°C by up to ±1°C, what range ofwattage is allowed for the input power? (Give your answer correctto 2 decimalplaces.)
watts (smaller value)
watts (larger value)

(c) Consider the watts


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