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Question Number 173082    Answers: 1   Comments: 0

Question Number 173078    Answers: 1   Comments: 0

Question Number 173072    Answers: 0   Comments: 0

Solve for complex numbers: { ((((∣x∣^2 )/3) + ((∣y∣^2 )/5) = ((∣x + y∣^2 )/8))),((10x + y = 7 + 14i)) :}

$$\mathrm{Solve}\:\mathrm{for}\:\mathrm{complex}\:\mathrm{numbers}: \\ $$$$\begin{cases}{\frac{\mid\mathrm{x}\mid^{\mathrm{2}} }{\mathrm{3}}\:\:+\:\:\frac{\mid\mathrm{y}\mid^{\mathrm{2}} }{\mathrm{5}}\:\:=\:\:\frac{\mid\mathrm{x}\:+\:\mathrm{y}\mid^{\mathrm{2}} }{\mathrm{8}}}\\{\mathrm{10x}\:\:+\:\:\mathrm{y}\:\:=\:\:\mathrm{7}\:\:+\:\:\mathrm{14}\boldsymbol{\mathrm{i}}}\end{cases} \\ $$

Question Number 173069    Answers: 2   Comments: 0

Θ =∫_0 ^( ∞) ∫_0 ^( ∞) xy e^( −(x+y)) cos(x+y )dxdy=(1/σ) find the value of ” σ ”.

$$ \\ $$$$ \\ $$$$\:\:\:\Theta\:=\int_{\mathrm{0}} ^{\:\infty} \int_{\mathrm{0}} ^{\:\infty} {xy}\:{e}^{\:−\left({x}+{y}\right)} {cos}\left({x}+{y}\:\right){dxdy}=\frac{\mathrm{1}}{\sigma} \\ $$$$\:\:\:\:\:\:\:\:{find}\:{the}\:\:{value}\:{of}\:\:''\:\sigma\:\:''. \\ $$$$ \\ $$

Question Number 173068    Answers: 2   Comments: 0

Question Number 173065    Answers: 1   Comments: 3

Question Number 173064    Answers: 0   Comments: 0

Question Number 173062    Answers: 0   Comments: 2

Question Number 173061    Answers: 0   Comments: 0

Calculate and factorize for m ∈ R, The caracteristic polynom of A= (((−2−m),( 5+m),( m)),(( 5),(−2−m),( −m)),(( −5),( 5),( 3)) )

$${Calculate}\:{and}\:{factorize}\:{for}\:{m}\:\in\:\mathbb{R},\: \\ $$$${The}\:{caracteristic}\:{polynom}\:{of} \\ $$$${A}=\begin{pmatrix}{−\mathrm{2}−{m}}&{\:\:\:\mathrm{5}+{m}}&{\:\:\:\:\:{m}}\\{\:\:\:\:\:\:\:\:\mathrm{5}}&{−\mathrm{2}−{m}}&{\:\:−{m}}\\{\:\:\:\:−\mathrm{5}}&{\:\:\:\:\:\:\mathrm{5}}&{\:\:\:\:\:\:\mathrm{3}}\end{pmatrix} \\ $$

Question Number 173058    Answers: 0   Comments: 0

Question Number 173054    Answers: 1   Comments: 3

Question Number 173053    Answers: 0   Comments: 0

Question Number 173051    Answers: 3   Comments: 0

solve (x−2)(x−3)(x−4)(x−6)=5x^2

$${solve} \\ $$$$\left({x}−\mathrm{2}\right)\left({x}−\mathrm{3}\right)\left({x}−\mathrm{4}\right)\left({x}−\mathrm{6}\right)=\mathrm{5}{x}^{\mathrm{2}} \\ $$

Question Number 173048    Answers: 1   Comments: 0

Question Number 173049    Answers: 2   Comments: 0

Question Number 173042    Answers: 2   Comments: 0

Question Number 173033    Answers: 2   Comments: 0

Question Number 173032    Answers: 1   Comments: 0

Question Number 173028    Answers: 2   Comments: 0

Question Number 173027    Answers: 0   Comments: 0

Question Number 173026    Answers: 1   Comments: 0

Question Number 173025    Answers: 1   Comments: 0

Question Number 173024    Answers: 0   Comments: 0

Find A,B⊂N^∗ Such that A∩B=∅ , cardB=cardA+1≥8 and Σ_(x∈A) x^3 = Σ_(x∈B) x^3

$$\mathrm{Find}\:\:\mathrm{A},\mathrm{B}\subset\mathbb{N}^{\ast} \\ $$$$\mathrm{Such}\:\mathrm{that}\:\:\mathrm{A}\cap\mathrm{B}=\varnothing\:,\:\mathrm{cardB}=\mathrm{cardA}+\mathrm{1}\geqslant\mathrm{8} \\ $$$$\mathrm{and}\:\:\underset{\boldsymbol{\mathrm{x}}\in\boldsymbol{\mathrm{A}}} {\sum}\:\mathrm{x}^{\mathrm{3}} \:=\:\underset{\boldsymbol{\mathrm{x}}\in\boldsymbol{\mathrm{B}}} {\sum}\:\mathrm{x}^{\mathrm{3}} \\ $$

Question Number 173018    Answers: 0   Comments: 0

Question Number 173014    Answers: 0   Comments: 0

$$ \\ $$

Question Number 173008    Answers: 2   Comments: 0

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