f(x) and g(x) are differentiable in the interval [0, 1] such that f(0) = 2, g(0) = 0, f(1) = 6, g(1) = 2, then Rolle's theorem is applicable for which of the following in [0, 1] ?
f(x) - g(x)
f(x) - 2g(x)
f(x) + 3g(x)
None of the above
One root of the equation x2 - 4x+ 1 = 0 is between 1 and 2. The value ofthis root using Newton-Raphson method will be
1.775
1.850
1.875
1.950
C.
1.875