Question

Which of these solutions satisfies the Mean Value Theorem for the function the square root of (x) -1 in [1, 9]?

Answer 1

\[f(x)=\sqrt{x}-1\]?

Answer 2

\[f(9)=2\]
\[f(1)=0\]
\[\frac{2-0}{9-1}=\frac{2}{8}=\frac{1}{4}\]

Answer 3

\[f'(x)=\frac{1}{2\sqrt{x}}\] set
\[\frac{1}{2\sqrt{c}}=\frac{1}{4}\] and solve for c via
\[2\sqrt{c}=4\]
\[\sqrt{c}=2\]
\[c=4\]

Answer 4

yeahhh. thanks (:

Answer 5

i don't know what "these solutions" are, but i hope 4 is one of them

Answer 6

agree