If `f(t)=4t^(2)-3t+6` , find
(i) f (0) ,
(ii) f (4) ,
(iii) `f(-5)`.

If f(x)=2x-5 , then evaluate the following: (i) f(0) (ii) f(7) (iii) f(-3)

If f(x)=2x-5 , then evaluate the following: (i) f(0) (ii) f(7) (iii) f(-3)

If f and g are real fucntions defined by f(x)=x^(2)+7 and g (x) =3x+5 Then , find each of the following . (i) f(3)+g(-5) (ii) f((1)/(2)) xxg(14) (iii) f(-2)+g(-1) (iv) f(t)-f(-2) (v) (f(t)-f(5))/(t-5)if t ne5

If alpha and beta are zeros of f(t) = t^(2) - 4t +3 , find the value of alpha ^(4) beta ^(3) + beta ^(4) alpha ^(3) .

If A =[(1,-2),(4,5)] and f (t) = t^2 – 3t + 7 then f(A) =

If f and g are real fucntions defined by f(x)=x^(2)+7 and g (x) 3x+5 Then , find each of the following . f(3)+g(-5) (ii) f((1)/(2)) xxg(14) (iii) f(-2)+g(-1) (iv) f(t)-f(-2) (v) (f(t)-f(5))/(t-5)if t ne5

If int_(0)^(t^(2)) x f(x) dx=(2)/(5) t^(5) , t gt 0 , then the value of f((4)/(25)) is -

F (t) = int _(0) ^(t) (1)/(x ^(2) + 1 )dx, find F'(1) , F'(2), and F'(x).

Let f (x) =(1)/(x ^(2)) int _(4)^(x) (4t ^(2) -2 f '(t) dt, find 9f'(4)