A crystal growth furnace is used in research to determine how best to manufacture crystals used in electric 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) = 0.1w2 + 2.157w + 20 where T is the temperature in degrees Celsius and w is the power input in watts. (a) How much power is needed to maintain the temperature at 198°C? (Round your answer to two decimal places.) watts (b) If the temperature is allowed to vary from 198°C by up to ±1°C, what range of wattage is allowed for the input power? (Round your answers to two decimal places.) watts < w < watts (c) In terms of the ε, δ definition of lim x→a f(x) = L, what is x? input power temperature tolerance in the temperature target input power target temperature What is f(x)? input power temperature tolerance in the temperature target input power target temperature What is a? input power temperature tolerance in the temperature target input power target temperature What is L? input power temperature tolerance in the temperature target input power target temperature What value of ε is given? °C What is the corresponding value of δ? (Round your answer to two decimal places.) watts