Let be the temperature in degrees Celsius at a height h (in meters) above the surface of the earth. Which of the following gives the rate of change of temperature with respect to a height at 70 meters above the surface of the earth, in degrees per meter?
C)h such that
D)h such that

Question

Let  be the temperature in degrees Celsius at a height h (in meters) above the surface of the earth. Which of the following gives the rate of change of temperature with respect to a height at 70 meters above the surface of the earth, in degrees per meter?
C)h such that 
D)h such that

Quizplus · Accepted Answer

The rate of change of temperature with respect to a height is given by the derivative of the temperature function with respect to h. In this case, we need to find the derivative of 11eb69ff_fe7b_6a68_af94_83c3caee6d04_TB8190_11 with respect to h, and evaluate it at h=70. The correct answer is the option that gives this derivative. 
Taking the derivative of 11eb69ff_fe7b_6a68_af94_83c3caee6d04_TB8190_11 with respect to h, we get: 
11eb69ff_fe7b_9179_af94_e5b2e412f85f_TB8190_11 
Evaluating this expression at h=70, we get: 
11eb69ff_fe7b_917a_af94_3fd9a8b5d4d8_TB8190_11 
Therefore, the correct answer is B.

Let Be the Temperature in Degrees Celsius at a Height