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Prove inequality using Positivity Axioms

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#inequality #axioms #number-comparison
109
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hints for calculation of double integral

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#inequality #definite-integrals #estimation #upper-lower-bounds
57
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How would I prove that for all $a,b$ and $c<0$ we have $a<b \implies ca>cb$, using that $(-c)>0$?

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#algebra-precalculus #inequality #alternative-proof
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Inverse trigonometric inequalities

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#inequality #inverse-function
118
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Derive the conditions for $\tan^{-1}x+\tan^{-1}y=\pi+\tan^{-1}\frac{x+y}{1-xy}$

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#trigonometry #inequality #inverse-function
180
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How to prove that $87!<16! \left(52^{71}\right)$

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#algebra-precalculus #inequality #factorial
137
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Employing Cauchy-Schwartz inequality question

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#inequality #cauchy-schwarz-inequality
62
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Proving an inequality with power

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#inequality #a.m.-g.m.-inequality #cauchy-schwarz-inequality
34
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bounds on e convergence

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#calculus #inequality
99
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Proving that the following inequality holds in positive numbers

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#inequality #fractions #cauchy-schwarz-inequality
108
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How to prove that $|\ln(2+\sin(x)) - \ln(2+\sin(y))| <= |x-y| \space \forall \space x,y \in \mathbb R$

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#calculus #derivatives #inequality
214
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Is $8(x^3+y^3+z^3)^2\ge 9(x^2+yz)(y^2+xz)(z^2+xy)$ true for nonnegative numbers?

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#inequality
63
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Square Root Inequality with param

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#algebra-precalculus #inequality #radicals
59
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Maximum of $\frac{1 -\cos(lx)}{1 - \cos(x)}$ on $[\frac{\pi}{l}, 2\pi - \frac{\pi}{l}$]

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#calculus #trigonometry #inequality #optimization #maxima-minima
116
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How to show the following $\alpha x − \beta x^2 - \dfrac{\alpha^2}{4\beta} \leq 0$

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#inequality #polynomials

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