Let f(x) = x2 + cos(kx), for k > 0.(a) Graph f for k = 0.5, 1, 3, 5. Find the smallest
Chapter 4, Problem 46(choose chapter or problem)
Let f(x) = x2 + cos(kx), for k > 0.(a) Graph f for k = 0.5, 1, 3, 5. Find the smallest numberk at which you see points of inflection in thegraph of f.(b) Explain why the graph of f has no points of inflectionif k 2, and infinitely many points of inflectionif k > 2.(c) Explain why f has only a finite number of criticalpoints, no matter what the value of k.
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