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) = 0.1w2 + 2.155w + 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 200oC? (b) If the temperature is allowed to vary from 200oC by up to ±1oC, what range of wattage is allowed for the input power? (c) In terms of the ε, δ definition of lim x→ a f(x) = L, what is x? What is f(x)? What is a? What is L? What value of is given? What is the corresponding value of δ?