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Question Number 148835 Answers: 1 Comments: 0

Question Number 148825 Answers: 2 Comments: 0

Question Number 148821 Answers: 1 Comments: 0

S=(4/3)(√(m(m−m_a )(m−m_b )(m−m_c ))) m=((m_a +m_b +m_c )/2) m_a ;m_b ;m_c −mediani prove

$$\boldsymbol{{S}}=\frac{\mathrm{4}}{\mathrm{3}}\sqrt{\boldsymbol{{m}}\left(\boldsymbol{{m}}−\boldsymbol{{m}}_{\boldsymbol{{a}}} \right)\left(\boldsymbol{{m}}−\boldsymbol{{m}}_{\boldsymbol{{b}}} \right)\left(\boldsymbol{{m}}−\boldsymbol{{m}}_{\boldsymbol{{c}}} \right)} \\ $$$$\boldsymbol{{m}}=\frac{\boldsymbol{{m}}_{\boldsymbol{{a}}} +\boldsymbol{{m}}_{\boldsymbol{{b}}} +\boldsymbol{{m}}_{\boldsymbol{{c}}} }{\mathrm{2}} \\ $$$$\boldsymbol{{m}}_{\boldsymbol{{a}}} ;\boldsymbol{{m}}_{\boldsymbol{{b}}} ;\boldsymbol{{m}}_{\boldsymbol{{c}}} −\boldsymbol{{mediani}} \\ $$$$\boldsymbol{{prove}} \\ $$

Question Number 148815 Answers: 0 Comments: 0

calculate ∫_0 ^∞ (x^n /((x^(2n) +1)^2 ))dx (n≥2 integr)

$$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{x}^{\mathrm{n}} }{\left(\mathrm{x}^{\mathrm{2n}} +\mathrm{1}\right)^{\mathrm{2}} }\mathrm{dx}\:\:\:\:\:\left(\mathrm{n}\geqslant\mathrm{2}\:\:\mathrm{integr}\right) \\ $$

Question Number 148812 Answers: 1 Comments: 0

find ∫ (dx/(((√x)+(√(x+1)))((√(x−1))+(√x))))

$$\mathrm{find}\:\int\:\:\frac{\mathrm{dx}}{\left(\sqrt{\mathrm{x}}+\sqrt{\mathrm{x}+\mathrm{1}}\right)\left(\sqrt{\mathrm{x}−\mathrm{1}}+\sqrt{\mathrm{x}}\right)} \\ $$

Question Number 148809 Answers: 1 Comments: 0

Σ_(i=0) ^∞ [(−0.5x^2 )i/i!] integrate

$$\underset{\mathrm{i}=\mathrm{0}} {\overset{\infty} {\sum}}\left[\left(−\mathrm{0}.\mathrm{5x}^{\mathrm{2}} \right)\mathrm{i}/\mathrm{i}!\right]\:\mathrm{integrate} \\ $$

Question Number 148806 Answers: 0 Comments: 1

Question Number 148804 Answers: 1 Comments: 1

Question Number 148798 Answers: 2 Comments: 0

Question Number 148797 Answers: 1 Comments: 0

Question Number 148792 Answers: 0 Comments: 0

lim_(x→0) ⌊tan^2 x⌋..evaluate the limit using squeeze theorem.

$${li}\underset{{x}\rightarrow\mathrm{0}} {{m}}\lfloor{tan}^{\mathrm{2}} {x}\rfloor..{evaluate}\:{the}\:{limit}\:{using}\:{squeeze} \\ $$$${theorem}. \\ $$

Question Number 149137 Answers: 0 Comments: 1

if ctg𝛂 = −2 and ((3π)/2) < α < 2π find sin𝛂 = ?

$${if}\:\:\:{ctg}\boldsymbol{\alpha}\:=\:−\mathrm{2}\:\:\:{and}\:\:\:\frac{\mathrm{3}\pi}{\mathrm{2}}\:<\:\alpha\:<\:\mathrm{2}\pi \\ $$$${find}\:\:\:{sin}\boldsymbol{\alpha}\:=\:? \\ $$

Question Number 148785 Answers: 0 Comments: 0

find the resideu f(z)=z^(−3) csc(z^2 )

$${find}\:{the}\:{resideu}\:{f}\left({z}\right)={z}^{−\mathrm{3}} {csc}\left({z}^{\mathrm{2}} \right) \\ $$

Question Number 148783 Answers: 0 Comments: 1

Question Number 148780 Answers: 2 Comments: 0

Question Number 148816 Answers: 1 Comments: 0

∫_0 ^∞ x^m e^(ix^n ) dx=??

$$\int_{\mathrm{0}} ^{\infty} {x}^{{m}} {e}^{{ix}^{{n}} } {dx}=?? \\ $$

Question Number 148776 Answers: 1 Comments: 0

Question Number 148775 Answers: 0 Comments: 0

Question Number 148894 Answers: 0 Comments: 1

Question Number 148773 Answers: 1 Comments: 0

Question Number 148768 Answers: 1 Comments: 0

Question Number 148767 Answers: 1 Comments: 0

Question Number 148819 Answers: 2 Comments: 0

Question Number 148818 Answers: 0 Comments: 0

∫_( 0) ^( ∞) ((xlog(x)log^3 (x+1))/((x+1)^3 )) = ?

$$\underset{\:\mathrm{0}} {\overset{\:\infty} {\int}}\:\frac{{xlog}\left({x}\right){log}^{\mathrm{3}} \left({x}+\mathrm{1}\right)}{\left({x}+\mathrm{1}\right)^{\mathrm{3}} }\:=\:? \\ $$

Question Number 148756 Answers: 1 Comments: 0

{ ((x^2 + xy + x + y = −2)),((y^2 + xy + x + y = 1)) :} ⇒ 3x + y = ?

$$\begin{cases}{{x}^{\mathrm{2}} \:+\:{xy}\:+\:{x}\:+\:{y}\:=\:−\mathrm{2}}\\{{y}^{\mathrm{2}} \:+\:{xy}\:+\:{x}\:+\:{y}\:=\:\mathrm{1}}\end{cases}\:\:\Rightarrow\:\mathrm{3}{x}\:+\:{y}\:=\:? \\ $$

Question Number 148754 Answers: 1 Comments: 1

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