6) (12 pts) TRUE or FALSE. For each part, provide a reason for your answer or correct the statement meaningfully. Replacing "is" with "is not" will not earn credit. a. The range of an exponential function of the form y = Pertis the set of all real numbers. b. For any logarithmic function of the form g(x) = log, x, the derivative of the function is g'(x) = LI a x' C. The solution to the differential equation ax = nay = 0.05y, is the function y = 0.05ex for some constant C. d. The half-life of a radioactive element is the amount of time it takes for any amount of the element to decay to half its original size.BONUS (+5) a -1 Assume that the lim = Ina h-oh Prove, using the limit definition of a derivative, that dx (a*) = (Ina)a*