MATH110 Final: Final Exam Fall 2014
Document Summary
Evaluate the given limit; if a limit does not exist, then state so. (a) lim x 2. Consider the function f(x) = x2 a2 ax+ 20. Find all values of the constant a such that f(x) is continuous for all real numbers x. if x< 4 if x 4 . (7) 3. (a) state the limit de nition of the derivative function f (x). (b) use the limit de nition to nd f (x) if f(x)= You do not have to simplify your answer. (a) f(x)= 1. Find the equation of the tangent line to the graph of y = f(x) of the function f(x)= 3x1~2+ 1 at the point (4, 7). (8) Two runners start moving from the same point. One runs north at 8 km/hr and the other runs east at 6 km/hr. You may use the fact that the rst and second.
