If f and g are continuous on [a, b] and g(x) > 0 for all x e [a, b], show that there
Chapter 7, Problem 17(choose chapter or problem)
If f and g are continuous on [a, b] and g(x) > 0 for all x e [a, b], show that there existsc e [a, b] such that f:fg = f(c) f:g. Show that this conclusion fails if we do not haveg(x) > O.(Note that this result is an extension of the preceding exercise.)
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