Electrical Resistance The resistance R of a certain type of resistor is R = 0.001 T 4 − 4 T + 100 where R is measured in ohms and the temperature T is measured in degrees Celsius. (a) Use a computer algebra system to find d R / d T and the critical number of the function. Determine the minimum resistance for this type of resistor. (b) Use a graphing utility to graph the function R and use the graph to approximate the minimum resistance for this type of resistor.
Electrical Resistance The resistance R of a certain type of resistor is R = 0.001 T 4 − 4 T + 100 where R is measured in ohms and the temperature T is measured in degrees Celsius. (a) Use a computer algebra system to find d R / d T and the critical number of the function. Determine the minimum resistance for this type of resistor. (b) Use a graphing utility to graph the function R and use the graph to approximate the minimum resistance for this type of resistor.
Solution Summary: The author explains the Maple command to obtain the derivative of the function.
Electrical Resistance The resistance R of a certain type of resistor is
R
=
0.001
T
4
−
4
T
+
100
where R is measured in ohms and the temperature T is measured in degrees Celsius.
(a) Use a computer algebra system to find
d
R
/
d
T
and the critical number of the function. Determine the minimum resistance for this type of resistor.
(b) Use a graphing utility to graph the function R and use the graph to approximate the minimum resistance for this type of resistor.
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