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AllQuestion and Answers: Page 317

Question Number 189601    Answers: 0   Comments: 0

Question Number 189593    Answers: 0   Comments: 0

Question Number 189592    Answers: 0   Comments: 0

Question Number 189598    Answers: 0   Comments: 0

Question Number 189576    Answers: 1   Comments: 0

2^x + 2^x −4 + x = −(1/2) x = ???

$$ \\ $$$$\:\:\:\:\:\mathrm{2}^{\boldsymbol{{x}}} \:+\:\mathrm{2}^{\boldsymbol{{x}}} −\mathrm{4}\:+\:\boldsymbol{{x}}\:=\:−\frac{\mathrm{1}}{\mathrm{2}}\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\boldsymbol{{x}}\:=\:??? \\ $$$$ \\ $$

Question Number 189567    Answers: 2   Comments: 1

Question Number 189564    Answers: 1   Comments: 0

Question Number 189563    Answers: 2   Comments: 0

Question Number 189559    Answers: 1   Comments: 0

(−1)^(1/3) =? ((−1))^(1/3) =?

$$\:\left(−\mathrm{1}\right)^{\frac{\mathrm{1}}{\mathrm{3}}} =? \\ $$$$\sqrt[{\mathrm{3}}]{−\mathrm{1}}=? \\ $$

Question Number 189558    Answers: 2   Comments: 0

Question Number 189557    Answers: 2   Comments: 0

Question Number 189555    Answers: 0   Comments: 0

Question Number 189554    Answers: 0   Comments: 0

Question Number 189551    Answers: 0   Comments: 1

Question Number 189549    Answers: 1   Comments: 0

∫_0 ^( 1) ∫_0 ^( 1) ((dxdy)/((1+xy )^( 4) ))=?

$$ \\ $$$$\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{dxdy}}{\left(\mathrm{1}+{xy}\:\right)^{\:\mathrm{4}} }=? \\ $$

Question Number 189539    Answers: 2   Comments: 5

Question Number 189536    Answers: 0   Comments: 1

Question Number 189535    Answers: 1   Comments: 0

Question Number 189533    Answers: 1   Comments: 0

when a+b=60^° find ((cos^2 a−sin^2 b)/(cos(a−b)))=?

$${when}\:\:{a}+{b}=\mathrm{60}^{°} \:\:\:\:\:{find}\:\:\frac{{cos}^{\mathrm{2}} {a}−{sin}^{\mathrm{2}} {b}}{{cos}\left({a}−{b}\right)}=? \\ $$

Question Number 189531    Answers: 1   Comments: 0

The number of pairs of natural numbers (x,y) satisfy x^2 y+gcd(x,y^2 )=2023

$$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{pairs}\:\mathrm{of}\:\mathrm{natural} \\ $$$$\mathrm{numbers}\:\left(\mathrm{x},\mathrm{y}\right)\:\mathrm{satisfy} \\ $$$$\:\:\:\:\:\:\mathrm{x}^{\mathrm{2}} \mathrm{y}+\mathrm{gcd}\left(\mathrm{x},\mathrm{y}^{\mathrm{2}} \right)=\mathrm{2023} \\ $$

Question Number 189523    Answers: 0   Comments: 0

Question Number 189522    Answers: 0   Comments: 2

Question Number 189521    Answers: 0   Comments: 0

Question Number 189517    Answers: 1   Comments: 1

Question Number 189514    Answers: 0   Comments: 0

Question Number 189509    Answers: 1   Comments: 0

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