Question

Number of integral values of $x\in (\frac{\pi}{2},5\frac{\pi}{2})$ such that $\max(x^2+\cos x-1,1-x^2-\cos x)=\max(\cos x+x^2-1,x^2-1-\cos x)$

score 132 · Answer 1 · 2016-11-25 09:04:26

Number of integral values of $x\in (\frac{\pi}{2},5\frac{\pi}{2})$ such that $\max(x^2+\cos x-1,1-x^2-\cos x)=\max(\cos x+x^2-1,x^2-1-\cos x)$

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List Question

Number of integral values of $x\in (\frac{\pi}{2},5\frac{\pi}{2})$ such that $\max(x^2+\cos x-1,1-x^2-\cos x)=\max(\cos x+x^2-1,x^2-1-\cos x)$

How to show/proof that the union of two non empty subsets of ${\Bbb R_{}}$ has a least upper bound?

Second derivative test $\sin x + \sin y + \sin(x-y)$

Maximum value of the difference

Maximum difference inequality

Prove that $g(x)=\frac{\sin(x)}{\sqrt x}$ has maximum and minimum on $(0,\pi]$

maximum value of the expression : $2x+3y+z$ as $(x,y,z)$ varies over the sphere $x^2+y^2+z^2=1$

Maxima minima of $f(x)=\frac{x-\lfloor x\rfloor}{\sqrt{x}}$

Sufficient conditions for existence and uniqueness global minimum

Double Integral $\int_0^t\int_0^s\min(\rho,l)\ dld\rho$

Maximum likelihood estimator of $p(1-p)$, where $p$ is the parameter of a Bernoulli distribution

Exponential of a sum comparing to a sum of exponentials (2 variables)

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partial differentiation - maximum point - $3 $ variables

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