MATH 54 Lecture 23: Math 54 Lecture 23

problems # 13 through # 16: These-ere use any technique we discussed in class, provided that you show your work 13. Show that the equation In x 3-2x has at least one real solution. 14. Iff' (x) = e-x2, what information do we have about the original function f (x)? 15. Find a cubic function f(x) - ax +bx2+cx+d whose graph has a horizontal tangent line at the points (-2.6) and (2,0). This means determine specific values for a, b, c, and d. 5. Explain why Newton's method fails for finding the real root of the equation x3-3x + 6 0 if the in itial guess is chosen to be Xo = 1