Question
A. Suppose the height of an object at any time > 0 is given by the function h(t, where h is feet and is
A. Suppose the height of an object at any time > 0 is given by the function h(t, where h is feet and is in seconds. The first derivative h'(t represents the rate of change in height with respect to time (which is actually the velocity of the object), and the units are feet per second. What does the second derivative h" (t represent, and what are the units? B. Suppose the population of a bacteria culture is given by the function p(t, where p is population in thousands and represents time in hours. Then p'(t represents the rate of change in the population of the bacteria with respect to time, and its units are in thousands of bacteria per hour. What does p" (t represent, and what are its units? C. Suppose that It is a twice differentiable function of 1, where T is in C and is in minutes. What are the units of 7' (t and T'" (t?
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