If `f(x)=0` is a R.E. of first type and odd degree then a factor of f(x) is

If f(x)=0 is a R.E.of second type and fifth degree then a root of f(x)=0 is

If f(x)=0 is a reciprocal equation of second type and an even degree,then a factor of f(x) is

If f(x)=0 is a reciprocal equation of second type and even degree then which of the following is a factor of f(x) a)x + 1 b)x-1 c)both (1) & (2) d)none

If f(x) is an odd function in R and f(x)={-x,0 then definition of f(x) in (-oo,0) is

If the polynomial f(x) is such that f(-3)=0 , then a factor of f(x) is :

If f(x) is a polynomial of nth degree then int e^(x)f(x)dx= Where f^(n)(x) denotes nth order derivative of f(x)w.r.t.x

If f(x) is a polynomial of least degree,such that lim_(x rarr0)(1+(f(x)+x^(2))/(x^(2)))^((1)/(x))=e^(2), then f(2) is

If f(x) and g(x) are two functions such that f(x)+g(x)=e^(x) and f(x)-g(x)=e^(-x) then I: f(x) is an even function II : g(x) is an odd function III : Both f(x) and g(x) are neigher even nor odd.

Following is the graph of y = f'(x) and f(0) = 0 . (a) What type of function y = f'(x) is ? Odd or even? (b) What type of function y = f(x) is ? Odd or even? (c) What is the value of int_(-a)^(a) f(x) dx ? (d) Has y = f(x) point of inflection? (e) What is the nature of y = f(x)? Monotonic or non-monotonic?