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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

Question Number 148753 Answers: 1 Comments: 0

Question Number 148746 Answers: 1 Comments: 0

if x - y = y - z = 4 find x^2 + z^2 - 2y^2 = ?

$${if}\:\:\:{x}\:-\:{y}\:=\:{y}\:-\:{z}\:=\:\mathrm{4} \\ $$$${find}\:\:\:{x}^{\mathrm{2}} \:+\:{z}^{\mathrm{2}} \:-\:\mathrm{2}{y}^{\mathrm{2}} \:=\:? \\ $$

Question Number 148745 Answers: 0 Comments: 0

Question Number 150871 Answers: 1 Comments: 0

Find all the real solutions of cos x+cos^5 x+cos 7x=3

$$\:\mathrm{Find}\:\mathrm{all}\:\mathrm{the}\:\mathrm{real}\:\mathrm{solutions} \\ $$$$\mathrm{of}\:\mathrm{cos}\:\mathrm{x}+\mathrm{cos}\:^{\mathrm{5}} \mathrm{x}+\mathrm{cos}\:\mathrm{7x}=\mathrm{3} \\ $$

Question Number 150870 Answers: 1 Comments: 1

Question Number 148724 Answers: 1 Comments: 0

find laurent series f(z)=(1/(z^2 −z+1)) ,0<∣z−1∣<1

$${find}\:{laurent}\:{series}\:{f}\left({z}\right)=\frac{\mathrm{1}}{{z}^{\mathrm{2}} −{z}+\mathrm{1}}\:\:,\mathrm{0}<\mid{z}−\mathrm{1}\mid<\mathrm{1} \\ $$

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