If `f` is twice differentiable function for `x in R` such that `f(2)=5,f'(2)=8` and `f'(x) ge 1,f''(x) ge4` , then

If f(x) is a twice differentiable function and given that f(1)=2,f(2)=5 and f(3)=10 then

If f(x) is a twice differentiable function and given that f(1)=2,f(2)=5 and f(3)=10 then

If f(x) is a twice differentiable function and given that f(1)=1,f(2)=4,f(3)=9, then

Let f be a twice differentiable function defined on R such that f(0) = 1, f'(0) = 2 and f '(x) ne 0 for all x in R . If |[f(x)" "f'(x)], [f'(x)" "f''(x)]|= 0 , for all x in R , then the value of f(1) lies in the interval:

If f:R->R is a twice differentiable function such that f''(x) > 0 for all x in R, and f(1/2)=1/2 and f(1)=1, then

Let f be a twice differentiable function such that f''(x)=-f(x)" and "f'(x)=g(x)."If "h'(x)=[f(x)]^(2)+[g(x)]^(2), h(a)=8" and "h(0)=2," then "h(2)=

Let f be twice differentiable function such that f^11(x) = -f(x) "and " f^1(x) = g(x), h(x) = (f(x))^2 + (g(x))^2) , if h(5) = 11 , then h(10) is