84. CONCENTRATION OF A DRUG IN THE BLOODSTREAM The concen- tration of a certain drug in a patient's bloodstream t hr after injection is given by 2 an evie alec(t) = 0.2t nislaxs ound zi fill 12 + 1elsi al si ynew world of s mg/cm'. Evaluate lim C(t) and interpret your result. 1-00In Exercises 35-42, find functions fand g such that h = gof. (Note: The answer is not unique.) 36. h(x) = (3xz 4 -3In Exercises 31-34, suppose fand g are functions that are differ- entiable at x = 1 and that f( 1 ) = 2, f' (1) = -1, 9(1) = -2, and g'(1) = 3. Find the value of h' (1). 32. h(x) = (x2+1)g(x)64. POPULATION GROWTH A major corporation is building a 4325-acre complex of homes, offices, stores, schools, and churches in the rural community of Glen Cove. As a result of this development, the planners have estimated that Glen Cove's population (in thousands) t years from now will be given by 25t2 + 125t + 200 P(t) = 12 + 5t + 40 a. Find the rate at which Glen Cove's population is changing with respect to time. b. What will be the population after 10 years? At what rate will the population be increasing when t = 10?In Exercises 45-56, find the values of x for which each function is continuous. one -2x + 1 ifx