Single Variable Calculus: Early Tr...
Solutions
Single Variable Calculus: Early Tr...
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.lw2 + 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 al 200°C?
(b) If the temperature is allowed to vary from 200°C by up to ± 1°C, what range of wan age is allowed for the input power?
(c) In terms of thee, ε, δ definition of
(a)
To find: The Power need to maintain the temperature at
Given:
Suppose the relationship is
Result used:
The solution for quadratic form of the equation is
Calculation:
Multiply both sides to (1) with 1000.
By Quadratic equation formula,
(b)
To find: The range of wattage is allowed for the input power.
(c)
To explain: The terms in
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