thanks 8. A. Suppose the height of an object at any time 12 0 is given by the fu

Question

thanks 8. A. Suppose the height of an object at any time 12 0 is given by the function h(t , where h is feet and t is in seconds. The first derivative ht 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(u, where p is population in thousands and t 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 Tu is a twice differentiable function of t, where T is in C and is in minutes. What are the units of T(t and T(?

Explanation / Answer

b) P"(t) tells us when the population is growing faster and its units are (thousand of bacteria /hour )/hour

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