These problems may require work Calculator allowed 11) The derivative of a function is given by f'(x) = 0.2x + e-2x, at what value of x > 0 does the line tangent to the graph of f at x have a slope of 1.5? Calculator allowed 12) The derivative of a function is given by f'(x) = 0.5x + e-ox, at what value of x > 0 does the line tangent to the graph of f at x have a slope of 3? No calc 13) f'(x) = 2x + 5, and f(3) = -8, find the equation of the tangent line in y = mx + b form at x = 3 No calc 14) f'(x) = =x -6, and f(-2) = 6, find the equation of the tangent line in y = mx + b form at x = -2 x-5 15) If lim f (x) exists, is it also true that f (5) exists? If your answer is no, provide a counter example. 16) Find a csc x by using implicit differentiation and the product rule on a (sin x . cscx) = 1 17) What is the inst. ROC of gat x = ~ if g(x) = lim cos(x+h)-cosx h - h hint: What is g(x)? it is not cos(x)