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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
23 Nov 2021

Given information

The relationship between and is given by where is the temperature in degree Celsius and is the power input in watts.

The temperature is allowed to vary from by up to .

Step-by-step explanation

Step 1.
  • The temperature is allowed to vary from by up to . Therefore, the tolerance in the temperature at is .
  • Write the inequality by using the fact that tolerance in the temperature at is .
  • Consider as power input and as . The temperature is given by . Therefore . That implies .
  • It can be observed that .
  • Substitute for in the equation (1).
  • Solve the inequality in the equation (2) by using the fact that if  then .
  • It is required to be find the range of power input. That is we have to find the tolerance in the power input.
  • Let the tolerance in the power input as .
  • Write the inequality involving the fact that the tolerance of the power input is .

 

 

 

 

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