Let `f(x)` be a polynomial of degree 6 with leading coefficient 2009. Suppose further that f(1) =1, f(2)=3, f(3)=5, f(4)=7, f(5) =9, f'(2)=2. Then the sum of all the digits of f(6) is

Let f(x) polynomial of degree 5 with leading coefficient unity such that f(1)=5, f(2)=4,f(3)=3,f(4)=2,f(5)=1, then f(6) is equal to

Let f (x) be a polynomial of degree 5 with leading coefficient unity, such that f (1) =5, f (2) =4, f (3) =3, f (4)=2 and f (5)=1, then : Sum of the roots of f (x) is equal to :

If f(x) is a polynomial of degree four with leading coefficient one satisfying f(1)=1, f(2)=2,f(3)=3 .then [(f(-1)+f(5))/(f(0)+f(4))]

Let f(x) polynomial of degree 5 with leading coefficient unity such that f(1)=5, f(2)=4,f(3)=3,f(4)=2,f(5)=1, then f(6) is equal to (a).0 (b). 24 (c). 120 (d). 720

If f(x) is a polynominal of degree 4 with leading coefficient '1' satisfying f(1)=10,f(2)=20 and f(3)=30, then ((f(12)+f(-8))/(19840)) is …………. .

Let f(x) is a cubic polynomial with real coefficients, x in R such that f''(3)=0 , f'(5)=0 . If f(3)=1 and f(5)=-3 , then f(1) is equal to-

Let f(x) be a differentiable function on [0,8] such that f(1)=3, f(2)=1//2, f(3) =4, f(4)=-2, f(5)=6 f(6)=1//3, f(7)=-1//4 . Then the minimum no. points of interaction of the curve y=f^(')(x) and y=f^(')(x)(f(x))^(2) is K then K-5=

Let f(x) be a polynomial of degree 3 such that f(3)=1, f'(3)=-1, f''(3)=0, and f'''(3)=12. Then the value of f'(1) is

Let f(x) be a polynomial of degree 2 satisfying f(0)=1, f(0) =-2 and f''(0)=6 , then int_(-1)^(2) f(x) is equal to

Let f (x) be a polynomial of degree 8 such that F(r)=1/r, r=1,2,3,…,8,9, then (1)/(F(10)) =