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 199°C? (Round your answer to two decimal places.) watts (b) If the temperature is allowed to vary from 199°C by up to ±1°C, what range of wattage is allowed for the input power? (Round your answers to two decimal places.) watts
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 199°C? (Round your answer to two decimal places.) watts (b) If the temperature is allowed to vary from 199°C by up to ±1°C, what range of wattage is allowed for the input power? (Round your answers to two decimal places.) watts
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Transcribed Image Text: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 199°C? (Round your answer to two decimal places.)
watts
(b) If the temperature is allowed to vary from 199°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 &, & definition of lim f(x) = L, what is x?
x→a
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
O target temperature
Transcribed Image Text: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 & is given?
°C
What is the corresponding value of 8? (Round your answer to two decimal places.)
watts
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