The resistance R of a certain type of resistor is where R is measured in ohms and the temperature T is measured in degrees Celsius. Use a computer algebra system to find the critical number of the function. Round numerical values in your answer to the nearest whole number.

Question

The resistance R of a certain type of resistor is  where R is measured in ohms and the temperature T is measured in degrees Celsius. Use a computer algebra system to find the critical number of the function. Round numerical values in your answer to the nearest whole number.

Quizplus · Accepted Answer

To find the critical number of the function, we need to find the derivative of the function with respect to temperature and set it equal to zero.

Using a computer algebra system to differentiate the function, we get:

R'(T) = 11ea8e7c_65d9_fab7_a696_5225e2a31c20_TB4584_11_TB4584_11 * e^(0.000044*T)

Setting R'(T) = 0 and solving for T, we get:

T = -2474 degrees Celsius

Rounding this to the nearest whole number, we get:

T ≈ -2474°C

Therefore, the answer is choice D, 11eaa595_65da_0b92_a696_7bd3c5e4dc5e_TB4584_11_TB4584_11.

The Resistance R of a Certain Type of Resistor Is