Solve the given problems related to the indicated examples of this section.

In Example 6, change “increased” to “decreased” in the second and third lines and then evaluate the function to find the proper expression

Data from Example 6

The electric resistance R of a certain resistor as a function of the temperature T (in °C) is given by R = 10.0 + 0.10T + 0.001T². If a given temperature T is increased by 10°C, what is the value of R for the increased temperature as a function of T? We are to determine R for a temperature of T + 10. Because f(T) = 10.0 + 0.10T + 0.001T²

Then

f(T + 10) = 10.0+ 0.10(T+10) + 0.001(7 + 10) = 10.0+ 0.10T + 1.0+ 0.00172 +0.027 + 0.1 = 11.1 +0.127 + 0.00172