Recently Active Relation Functions Questions

Let f(x)=(1+{{b}^{2}}){{x}^{2}}+2bx+1 and m(b) the minimum value of f(x) for a given b. As b varies, the range of m(b) is a) [0,,1] b) left( 0,left. frac{1}{2} ight] ight. c) left[ frac{1}{2},,,1 ight] d) (0,,1] ...

f(x)=cos sqrt{x}, correct statement is a) f(x) is periodic & its period =sqrt{2}pi b) f(x) is periodic & its period =4{{pi }^{2}} c) f(x) is periodic & its period =sqrt{pi } d) f(x) is not periodic ...

Lim Sin.Log x2 x→0 Find the value using L hospital rule. ...

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∫ cos 5x+ cos 4x/1-2cos3x ...

integrate 1/1+x^4 ...

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Which of the following represents the same graph as {x}={y} a) tan(πy)=tan(πx) b) sin(πy)=sin(πx) c) cos(πy)=cos(πx) d) None of these ...

show that ------- Lt (2+x)sin(2+x) - 2sin2 /x = 2cos2 + 2sin2 x→ 0 ...

∫ sin(n+ 1/2 )x/sinx .dx. Integration from 0 to π. n is a natural number. ...

f(x) is defined for x > −1 and has a continuous derivate. If f satisfies f(0) = 1, f′(0) = 0; (1 + f(x)) f′′(x) = 1 + x. If x is positive then f′(x) is (A) always positive (B) always negative (C) always non-negat ...

If f:R o R,,f(x)=2x-1 and g:R o R, g(x)={{x}^{2}} then (gof),(x) equals ...

The period of the function f(x)=2cos frac{1}{3}(x-pi ) is ...

Which of the following is an even function? ...

If f:R o R,, then f(x),=,|x| is ...

Domain of definition of the function f(x),=frac{3}{4-{{x}^{2}}}+{{log }_{10}}({{x}^{3}}-x),, is ...

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Let f(x+y)=f(x).f(y) and f(x)=1+sin(3x).g(x) where g(x) is cont. , then f'(x) is a) f(x).g(0) b)3g(0) c) f(x).cos(3x) d)3f(x).g(0) e)3f(x).g(x) ...

\hspace{-16}\bf{(1)\;\;}$ Total no. of real solution in $\bf{2^x = x^2}$\\\\\\ $\bf{(2)\;\;}$ Total no. of real solution in $\bf{2^x = 1+x^2}$\\\\\\ $\bf{(3)\;\;}$ Total no. of real solution in $\bf{2^x+3^x+4^x+5^x = 10x+4}$\ ...

For real values of x, range of the function y=frac{1}{2-sin 3x} is ...