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Question Number 205683 Answers: 1 Comments: 0

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Question Number 205682 Answers: 1 Comments: 2

Question Number 205681 Answers: 2 Comments: 0

Question Number 205680 Answers: 1 Comments: 0

solve ⌊x ⌋ + ⌊ x^2 ⌋ = ⌊ x^3 ⌋

$$ \\ $$$$\:\:\:\:\:\:\:\:\:{solve}\: \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\lfloor{x}\:\rfloor\:+\:\lfloor\:{x}^{\mathrm{2}} \rfloor\:=\:\lfloor\:{x}^{\mathrm{3}} \:\rfloor \\ $$$$ \\ $$

Question Number 205690 Answers: 0 Comments: 3

Question Number 205673 Answers: 0 Comments: 0

Question Number 205672 Answers: 1 Comments: 0

Question Number 205671 Answers: 1 Comments: 0

Question Number 205670 Answers: 1 Comments: 0

Question Number 205669 Answers: 1 Comments: 0

Question Number 205660 Answers: 1 Comments: 0

Question Number 205657 Answers: 1 Comments: 0

Question Number 205656 Answers: 2 Comments: 0

Question Number 205725 Answers: 1 Comments: 0

Question Number 205645 Answers: 1 Comments: 0

Find: Ω = ∫_0 ^( (𝛑/2)) ((sin^2 x)/(2 cosx + 3 sinx)) dx = ?

$$\mathrm{Find}:\:\:\Omega\:=\:\int_{\mathrm{0}} ^{\:\frac{\boldsymbol{\pi}}{\mathrm{2}}} \:\frac{\mathrm{sin}^{\mathrm{2}} \mathrm{x}}{\mathrm{2}\:\mathrm{cosx}\:+\:\mathrm{3}\:\mathrm{sinx}}\:\mathrm{dx}\:=\:? \\ $$

Question Number 205643 Answers: 1 Comments: 0

If a,b,c>0 and a^2 + b^2 + c^2 = abc Prove that: (a/(a^2 + bc)) + (b/(b^2 + ac)) + (c/(c^2 + ab)) ≤ (1/2)

$$\mathrm{If}\:\:\mathrm{a},\mathrm{b},\mathrm{c}>\mathrm{0}\:\:\mathrm{and}\:\:\mathrm{a}^{\mathrm{2}} \:+\:\mathrm{b}^{\mathrm{2}} \:+\:\mathrm{c}^{\mathrm{2}} \:=\:\mathrm{abc} \\ $$$$\mathrm{Prove}\:\mathrm{that}: \\ $$$$\frac{\mathrm{a}}{\mathrm{a}^{\mathrm{2}} \:+\:\mathrm{bc}}\:+\:\frac{\mathrm{b}}{\mathrm{b}^{\mathrm{2}} \:+\:\mathrm{ac}}\:+\:\frac{\mathrm{c}}{\mathrm{c}^{\mathrm{2}} \:+\:\mathrm{ab}}\:\leqslant\:\frac{\mathrm{1}}{\mathrm{2}} \\ $$

Question Number 205640 Answers: 0 Comments: 0

If a,b,c>0 and abc≥1 Prove that: a + b + c ≥ ((1+a)/(1+b)) + ((1+b)/(1+c)) + ((1+c)/(1+a))

$$\mathrm{If}\:\:\mathrm{a},\mathrm{b},\mathrm{c}>\mathrm{0}\:\:\mathrm{and}\:\:\mathrm{abc}\geqslant\mathrm{1} \\ $$$$\mathrm{Prove}\:\mathrm{that}: \\ $$$$\mathrm{a}\:+\:\mathrm{b}\:+\:\mathrm{c}\:\geqslant\:\frac{\mathrm{1}+\mathrm{a}}{\mathrm{1}+\mathrm{b}}\:+\:\frac{\mathrm{1}+\mathrm{b}}{\mathrm{1}+\mathrm{c}}\:+\:\frac{\mathrm{1}+\mathrm{c}}{\mathrm{1}+\mathrm{a}} \\ $$

Question Number 205639 Answers: 2 Comments: 0

Question Number 205631 Answers: 1 Comments: 0

Question Number 205627 Answers: 1 Comments: 0

Question Number 205626 Answers: 2 Comments: 0

if a+b+c=(1/(a+1))+(1/(b+2))+(1/(c+3))=0, find (a+1)^2 +(b+2)^2 +(c+3)^2 =?

$${if}\:{a}+{b}+{c}=\frac{\mathrm{1}}{{a}+\mathrm{1}}+\frac{\mathrm{1}}{{b}+\mathrm{2}}+\frac{\mathrm{1}}{{c}+\mathrm{3}}=\mathrm{0}, \\ $$$${find}\:\left({a}+\mathrm{1}\right)^{\mathrm{2}} +\left({b}+\mathrm{2}\right)^{\mathrm{2}} +\left({c}+\mathrm{3}\right)^{\mathrm{2}} =? \\ $$

Question Number 205625 Answers: 1 Comments: 0

∫_0 ^1 (√(1−x^4 ))dx

$$\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt{\mathrm{1}−{x}^{\mathrm{4}} }{dx} \\ $$

Question Number 205614 Answers: 2 Comments: 0

Question Number 205607 Answers: 1 Comments: 0

soit H espace de Hilbert montrez que: d(x,{a})^⌊ = ((∣<x,a>∣)/(∣∣a∣∣))

$${soit}\:{H}\:{espace}\:{de}\:{Hilbert} \\ $$$${montrez}\:{que}: \\ $$$${d}\left({x},\left\{{a}\right\}\right)^{\lfloor} \:=\:\frac{\mid<{x},{a}>\mid}{\mid\mid{a}\mid\mid} \\ $$

Question Number 205599 Answers: 1 Comments: 1

laplace transform... L { sin((√t) )} =? −−−−

$$ \\ $$$$\:{laplace}\:{transform}... \\ $$$$\:\:\: \\ $$$$\:\:\:\:\:\:\mathscr{L}\:\left\{\:\:{sin}\left(\sqrt{{t}}\:\right)\right\}\:=? \\ $$$$−−−− \\ $$

Question Number 205596 Answers: 1 Comments: 1

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