Recent content by vickon

Let f be a function twice-differentiable function defined on [0, 1] such that f(0)=0, f′(0)=0, and f(1)=0. (a) Explain why there is a point c1 in (0,1) such that f′(c1) = 0. (b) Explain why there is a point c2 in (0,c1) such that f′′(c2) = 0. If you use a major theorem, then cite the theorem...

Yes, sorry! g(x)=c+m(x-1) and the lim=0

Let f(x) = \sqrt{x} Assume that g is function such that (i) g(c)= c+m(x-1) (ii) f(1) = g(1), and (iii) \lim_{{x}\to{1}}\frac{f(x)-g(x)}{x-1} Answer the following questions. Show all of your work, and explain your reasoning. (a) What are the constants c and m? (b) How does g compare with the...