Growth rates for many microbes and plants depend on the amount of nutrients that are available to them. Monod introduced a model, now widely adopted, for how the rate of growth of E. coli bacteria depends on the level of glucose in the medium in which the bacteria are grown. Specifically. Monod observed that the reproduction rate of the bacteria (number of cell divisions in one hour) is given as a function of the glucose concentration (C, measured in units of mM) by the following equation. Is r(C) an increasing function of C? (C) = 13.5C + 0.027 . C>0 Choose the correct answer below. O A. "(C) is not an increasing function of C because r"(C) = - - 0.594 (C + 0.022)3 therefore r"(C) 0. O B. "(C) is an increasing function of C because r"(C) = 0.594 therefore r"(C) >0 for C > 0. C + 0.022)3 O c. "(C) is not an increasing function of C because r'(C) = 0.297 . therefore r'(C) 0. (C + 0.022)2 O D. "(C) is an increasing function of C because r'(C) = 0.297 . therefore r'(C) > 0 for C > 0. (C + 0.022)-Find c such that f'(c) =0 and determine whether f(x) has a local extremum at x = C. f(x) = (x - 5)