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Question Number 213234 Answers: 2 Comments: 2

Question Number 213232 Answers: 0 Comments: 4

Just a warning: the solutions of these two here are very often wrong: MrGaster lepuissantcedricjunior They also do not answer (my) comments regarding their errors. If you need the answers to these questions for an exam or other important reasons you might face serious problems.

$$\mathrm{Just}\:\mathrm{a}\:\mathrm{warning}:\:\mathrm{the}\:\mathrm{solutions}\:\mathrm{of}\:\mathrm{these}\:\mathrm{two} \\ $$$$\mathrm{here}\:\mathrm{are}\:\mathrm{very}\:\mathrm{often}\:\mathrm{wrong}: \\ $$$$ \\ $$$$\mathrm{MrGaster} \\ $$$$\mathrm{lepuissantcedricjunior} \\ $$$$ \\ $$$$\mathrm{They}\:\mathrm{also}\:\mathrm{do}\:\mathrm{not}\:\mathrm{answer}\:\left(\mathrm{my}\right)\:\mathrm{comments} \\ $$$$\mathrm{regarding}\:\mathrm{their}\:\mathrm{errors}. \\ $$$$\mathrm{If}\:\mathrm{you}\:\mathrm{need}\:\mathrm{the}\:\mathrm{answers}\:\mathrm{to}\:\mathrm{these}\:\mathrm{questions} \\ $$$$\mathrm{for}\:\mathrm{an}\:\mathrm{exam}\:\mathrm{or}\:\mathrm{other}\:\mathrm{important}\:\mathrm{reasons} \\ $$$$\mathrm{you}\:\mathrm{might}\:\mathrm{face}\:\mathrm{serious}\:\mathrm{problems}. \\ $$

Question Number 213221 Answers: 1 Comments: 3

Question Number 213217 Answers: 1 Comments: 0

Question Number 213216 Answers: 1 Comments: 0

Question Number 213215 Answers: 0 Comments: 0

Question Number 213208 Answers: 1 Comments: 0

Let f(x)∈Q[x] irreducible of degree n and K it′s Splitting Field over Q Prove that if Gal(K\Q) is Abeilan then ∣Gal(K\Q)∣=n How can i prove this???

$$\mathrm{Let}\:{f}\left({x}\right)\in\mathbb{Q}\left[{x}\right]\:\mathrm{irreducible}\:\mathrm{of}\:\mathrm{degree}\:{n} \\ $$$$\mathrm{and}\:{K}\:\mathrm{it}'\mathrm{s}\:\mathrm{Splitting}\:\mathrm{Field}\:\mathrm{over}\:\mathbb{Q} \\ $$$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{if}\:\mathrm{Gal}\left({K}\backslash\mathbb{Q}\right)\:\mathrm{is}\:\mathrm{Abeilan} \\ $$$$\mathrm{then}\:\mid\mathrm{Gal}\left({K}\backslash\mathbb{Q}\right)\mid={n} \\ $$$$\mathrm{How}\:\mathrm{can}\:\mathrm{i}\:\mathrm{prove}\:\mathrm{this}??? \\ $$

Question Number 213201 Answers: 2 Comments: 1

Question Number 213198 Answers: 1 Comments: 0

Question Number 213203 Answers: 4 Comments: 0

∈ N ⇒

$$\:\:\:\:\: \in\:\mathbb{N}\:\:\Rightarrow\: \\ $$$$ \\ $$$$ \\ $$

Question Number 213175 Answers: 4 Comments: 0

we can find tan120 by tan(180−60) but can not find by tan(90+30) why?

$${we}\:{can}\:{find}\:{tan}\mathrm{120}\:{by}\:{tan}\left(\mathrm{180}−\mathrm{60}\right) \\ $$$${but}\:{can}\:{not}\:{find}\:{by}\:{tan}\left(\mathrm{90}+\mathrm{30}\right)\:{why}? \\ $$

Question Number 213173 Answers: 3 Comments: 1

Question Number 213169 Answers: 1 Comments: 0

prove lim_(n→∞) ∫_0 ^1 (n/(1+n^2 x^2 ))e^x^2 dx=(π/2).

$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{prove} \\ $$$$\:\:\:\:\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{n}}{\mathrm{1}+{n}^{\mathrm{2}} {x}^{\mathrm{2}} }{e}^{{x}^{\mathrm{2}} } {dx}=\frac{\pi}{\mathrm{2}}. \\ $$

Question Number 213139 Answers: 3 Comments: 0

Question Number 213138 Answers: 2 Comments: 1

Question Number 213128 Answers: 3 Comments: 0

lim_(x→0^(+ ) ) (2/(1+e^(−(1/x)) ))

$$\boldsymbol{\mathrm{lim}}_{\boldsymbol{\mathrm{x}}\rightarrow\mathrm{0}^{+\:} } \frac{\mathrm{2}}{\mathrm{1}+\boldsymbol{\mathrm{e}}^{−\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}}} } \\ $$

Question Number 213123 Answers: 1 Comments: 0

factoriser x^5 +x^3 +x^2 −2x−1

$$\mathrm{factoriser} \\ $$$$\boldsymbol{\mathrm{x}}^{\mathrm{5}} +\boldsymbol{\mathrm{x}}^{\mathrm{3}} +\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{2}\boldsymbol{\mathrm{x}}−\mathrm{1} \\ $$

Question Number 213119 Answers: 2 Comments: 1

determiner a et b par ; AB ⊥BC { ((AM =5)),((AC =16)) :}

$$\mathrm{determiner}\:\boldsymbol{\mathrm{a}}\:\mathrm{et}\:\boldsymbol{\mathrm{b}}\:\mathrm{par}\:\:\:;\:\:\mathrm{AB}\:\bot\mathrm{BC} \\ $$$$\begin{cases}{\mathrm{AM}\:=\mathrm{5}}\\{\mathrm{AC}\:\:=\mathrm{16}}\end{cases} \\ $$

Question Number 213114 Answers: 2 Comments: 0

x^(5000) ∫_0 ^2

$$\:\:\:\:\:\:\: \mathrm{x}^{\mathrm{5000}} \\ $$$$\:\:\:\:\:\:\:\:\underset{\mathrm{0}} {\overset{\mathrm{2}} {\int}}\: \\ $$

Question Number 213109 Answers: 3 Comments: 0

lim_(x→∞) ((√(x+(√(x+(√x)))))/( (√(x+1))))=?

$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\frac{\sqrt{{x}+\sqrt{{x}+\sqrt{{x}}}}}{\:\sqrt{{x}+\mathrm{1}}}=? \\ $$

Question Number 213103 Answers: 0 Comments: 1

Hey tinku tara, I couldn′t graph the equation.

$$\mathrm{Hey}\:\mathrm{tinku}\:\mathrm{tara}, \\ $$$$\mathrm{I}\:\mathrm{couldn}'\mathrm{t}\:\mathrm{graph}\:\mathrm{the}\:\mathrm{equation}. \\ $$

Question Number 213100 Answers: 1 Comments: 1

Find this numeric expression using: The arithmetic division rule a÷b(c)=a÷b×c, The solvable incorrect syntax rule (a)b=a×b, where b is a number: 12÷4(10−8+1)2÷6×2=?

$$\mathrm{Find}\:\mathrm{this}\:\mathrm{numeric}\:\mathrm{expression}\:\mathrm{using}: \\ $$$$\mathrm{The}\:\mathrm{arithmetic}\:\mathrm{division}\:\mathrm{rule}\:{a}\boldsymbol{\div}{b}\left({c}\right)={a}\boldsymbol{\div}{b}×{c}, \\ $$$$\mathrm{The}\:\mathrm{solvable}\:\mathrm{incorrect}\:\mathrm{syntax}\:\mathrm{rule}\:\left({a}\right){b}={a}×{b},\:\mathrm{where}\:{b}\:\mathrm{is}\:\mathrm{a}\:\mathrm{number}: \\ $$$$\mathrm{12}\boldsymbol{\div}\mathrm{4}\left(\mathrm{10}−\mathrm{8}+\mathrm{1}\right)\mathrm{2}\boldsymbol{\div}\mathrm{6}×\mathrm{2}=? \\ $$

Question Number 213099 Answers: 1 Comments: 0

(1/2)(x−1)−(x−3)=(1/3)(x+3)+(1/6) x=...

$$\frac{\mathrm{1}}{\mathrm{2}}\left({x}−\mathrm{1}\right)−\left({x}−\mathrm{3}\right)=\frac{\mathrm{1}}{\mathrm{3}}\left({x}+\mathrm{3}\right)+\frac{\mathrm{1}}{\mathrm{6}} \\ $$$${x}=... \\ $$

Question Number 213098 Answers: 3 Comments: 0

∫((3x+2)/(5x^2 +2x+3))dx=?

$$\int\frac{\mathrm{3}{x}+\mathrm{2}}{\mathrm{5}{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{3}}\mathrm{d}{x}=? \\ $$

Question Number 213097 Answers: 1 Comments: 0

Uhhhh. can you guys solve Partial differantial equation ▽^2 𝛗=0 Cylinderical Laplacian case ▽^2 =(1/ρ)∙((∂ )/∂ρ)(ρ((∂ )/∂ρ))+((1/ρ))^2 (∂^2 /∂φ^2 )+((∂^2 )/∂z^2 ) Spherical Laplacian case ▽^2 =((1/r))^2 ((∂ )/∂r)(r^2 ((∂ )/∂r))+(1/(r^2 sin(θ)))∙((∂ )/∂θ)(sin(θ)((∂ )/∂θ))+(1/(r^2 sin^2 (θ)))∙(∂^2 /∂ϕ^2 )

$$\mathrm{Uhhhh}. \\ $$$$\mathrm{can}\:\mathrm{you}\:\mathrm{guys}\:\mathrm{solve}\:\mathrm{Partial}\:\mathrm{differantial}\:\mathrm{equation} \\ $$$$\bigtriangledown^{\mathrm{2}} \boldsymbol{\phi}=\mathrm{0} \\ $$$$\mathrm{Cylinderical}\:\mathrm{Laplacian}\:\mathrm{case} \\ $$$$\bigtriangledown^{\mathrm{2}} =\frac{\mathrm{1}}{\rho}\centerdot\frac{\partial\:\:}{\partial\rho}\left(\rho\frac{\partial\:\:}{\partial\rho}\right)+\left(\frac{\mathrm{1}}{\rho}\right)^{\mathrm{2}} \frac{\partial^{\mathrm{2}} \:}{\partial\phi^{\mathrm{2}} }+\frac{\partial^{\mathrm{2}} \:\:}{\partial{z}^{\mathrm{2}} } \\ $$$$\mathrm{Spherical}\:\mathrm{Laplacian}\:\mathrm{case} \\ $$$$\bigtriangledown^{\mathrm{2}} =\left(\frac{\mathrm{1}}{{r}}\right)^{\mathrm{2}} \frac{\partial\:\:}{\partial{r}}\left({r}^{\mathrm{2}} \frac{\partial\:\:}{\partial{r}}\right)+\frac{\mathrm{1}}{{r}^{\mathrm{2}} \mathrm{sin}\left(\theta\right)}\centerdot\frac{\partial\:\:}{\partial\theta}\left(\mathrm{sin}\left(\theta\right)\frac{\partial\:\:}{\partial\theta}\right)+\frac{\mathrm{1}}{{r}^{\mathrm{2}} \mathrm{sin}^{\mathrm{2}} \left(\theta\right)}\centerdot\frac{\partial^{\mathrm{2}} \:}{\partial\varphi^{\mathrm{2}} } \\ $$

Question Number 213096 Answers: 1 Comments: 0

Hi nikif90 can you please look at q212921 and provide details on the problem that are facimg

$$\mathrm{Hi}\:\mathrm{nikif90} \\ $$$$\mathrm{can}\:\mathrm{you}\:\mathrm{please}\:\mathrm{look}\:\mathrm{at}\:\mathrm{q212921}\:\mathrm{and} \\ $$$$\mathrm{provide}\:\mathrm{details}\:\mathrm{on}\:\mathrm{the}\:\mathrm{problem}\:\mathrm{that} \\ $$$$\mathrm{are}\:\mathrm{facimg} \\ $$

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