Crystal growth furnaces are used in research to determine how best to manufacture crystals used in electric components. For proper growth of a crystal, the temperature must be controlled accurately by adjusting the input power. Suppose the relationship is given by T(w) = 0.1w + 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 202°C? (Round your answer to two decimal places.) watts (b) If the temperature is allowed to vary from 202°C by up to t1°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 e, & definition of lim f(x) = L, what is x? O input power O temperature O tolerance in the temperature O target input power O target temperature What is f(x)? O input power O temperature O tolerance in the temperature O target input power O target temperature What is a? O input power O temperature O tolerance in the temperature O target input power O target temperature What is L? O input power O temperature O tolerance in the temperature O target input power O target temperature What value of e is given? °C What is the corresponding value of 87 (Round your answer to two decimal places.) watts

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Chapter4: Linear Functions
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Crystal growth furnaces are used in research to determine how best to manufacture crystals used in electric components. For proper growth of a crystal, the temperature must be controlled accurately by adjusting the input power. Suppose the relationship is given by
T(w) = 0.1w + 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 202°C? (Round your answer to two decimal places.)
watts
(b) If the temperature is allowed to vary from 202°C by up to t1°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 e, & definition of lim f(x) = L, what is x?
O input power
O temperature
O tolerance in the temperature
O target input power
O target temperature
What is f(x)?
O input power
O temperature
O tolerance in the temperature
O target input power
O target temperature
What is a?
O input power
O temperature
O tolerance in the temperature
O target input power
O target temperature
What is L?
O input power
O temperature
O tolerance in the temperature
O target input power
O target temperature
What value of e is given?
°C
What is the corresponding value of 87 (Round your answer to two decimal places.)
watts
Transcribed Image Text:Crystal growth furnaces are used in research to determine how best to manufacture crystals used in electric components. For proper growth of a crystal, the temperature must be controlled accurately by adjusting the input power. Suppose the relationship is given by T(w) = 0.1w + 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 202°C? (Round your answer to two decimal places.) watts (b) If the temperature is allowed to vary from 202°C by up to t1°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 e, & definition of lim f(x) = L, what is x? O input power O temperature O tolerance in the temperature O target input power O target temperature What is f(x)? O input power O temperature O tolerance in the temperature O target input power O target temperature What is a? O input power O temperature O tolerance in the temperature O target input power O target temperature What is L? O input power O temperature O tolerance in the temperature O target input power O target temperature What value of e is given? °C What is the corresponding value of 87 (Round your answer to two decimal places.) watts
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