Problem 12c

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 .

The value of  is .

Step-by-step explanation

• 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 .
• Substitute the value of \[\delta \] in the equation (3).