[" 7."f(x)=0" has "4" distinct real root."],[" If "f(x)=x^(3)+3x^(2)+4x+b sin x+c cos x AA x in R" is a one-one function,then fin "],[" maximum value of "(b^(2)+c^(2))" ."]

If f(x)=x^3+3x^2+4x+ bsinx+ c cosx AA x in R is a one-one function then the value of b^2 + c^2 is

If f(x)=x^3+3x^2+4x+ bsinx+ c cosx AA x in R is a one-one function then the value of b^2 + c^2 is

If f(x)=x^3+3x^2+4x+ bsinx+ c cosx AA x in R is a one-one function then the value of b^2 + c^2 is

If (x)=x^(3)+3x^(2)+4x+b sin x+c cos x AA x in Rf(x)=x^(3)+3x^(2)+4x+b sin x+c cos x AA x in R is a one-one function then the value of b^(2)+c^(2) is

For …………… value of a, function f(x)=sin x-cos x - ax+b AA x in R is a decreasing function.

If a function f:R rarr R is defined by f(x)=x^(3)+4x^(2)+cx+d, where c,d in R if f(x) is one-one onto,then c may be

A function f(x) is such that f(x)=0 has 8 distinct real roots and f(4+x)=f(4-x) for x in R . Sum of real roots of the equation f(x)=0 is

If f(x) is a cubic polynomial x^3 + ax^2+ bx + c such that f(x)=0 has three distinct integral roots and f(g(x)) = 0 does not have real roots, where g(x) = x^2 + 2x - 5, the minimum value of a + b + c is

If f(x) is a cubic polynomial x^3 + ax^2+ bx + c such that f(x)=0 has three distinct integral roots and f(g(x)) = 0 does not have real roots, where g(x) = x^2 + 2x - 5, the minimum value of a + b + c is