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Question Number 188933 Answers: 2 Comments: 1

lim_(x→1) (((√(4x−3))+(√(2x−1))−3x+1)/(x^2 −2x+1))=?

$$\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{4}{x}−\mathrm{3}}+\sqrt{\mathrm{2}{x}−\mathrm{1}}−\mathrm{3}{x}+\mathrm{1}}{{x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{1}}=? \\ $$

Question Number 188928 Answers: 0 Comments: 0

Question Number 188927 Answers: 1 Comments: 0

Question Number 188926 Answers: 1 Comments: 0

Question Number 188924 Answers: 1 Comments: 0

Question Number 188912 Answers: 4 Comments: 0

Question Number 188908 Answers: 1 Comments: 0

the radius of a circle is 12cmunits find the perimeter of a regular inscribed a. triangle b.heptagon c. decagon

$${the}\:{radius}\:{of}\:{a}\:{circle}\:{is}\:\mathrm{12}{cmunits} \\ $$$${find}\:{the}\:{perimeter}\:{of}\:{a}\:{regular}\: \\ $$$${inscribed}\: \\ $$$${a}.\:{triangle} \\ $$$${b}.{heptagon} \\ $$$${c}.\:{decagon} \\ $$

Question Number 188905 Answers: 0 Comments: 1

Question Number 188902 Answers: 1 Comments: 2

what is the deference between math and mathematics?

$${what}\:{is}\:{the}\:{deference}\:{between}\:{math} \\ $$$${and}\:{mathematics}? \\ $$

Question Number 188901 Answers: 1 Comments: 0

Question Number 188898 Answers: 0 Comments: 0

In △ABC holds: Σ ((2 + (√3) tan (B/2))/(1 + 3 tan^2 (A/2))) ≥ (9/2)

$$\mathrm{In}\:\bigtriangleup\mathrm{ABC}\:\mathrm{holds}:\:\:\:\Sigma\:\frac{\mathrm{2}\:+\:\sqrt{\mathrm{3}}\:\mathrm{tan}\:\frac{\mathrm{B}}{\mathrm{2}}}{\mathrm{1}\:+\:\mathrm{3}\:\mathrm{tan}^{\mathrm{2}} \:\frac{\mathrm{A}}{\mathrm{2}}}\:\geqslant\:\frac{\mathrm{9}}{\mathrm{2}} \\ $$

Question Number 188897 Answers: 0 Comments: 1

find the cubic root of 23456 by general method!

$${find}\:{the}\:{cubic}\:{root}\:{of}\:\mathrm{23456}\:{by} \\ $$$${general}\:{method}! \\ $$

Question Number 188895 Answers: 1 Comments: 0

sometimes when we disconnected the current in a circuit that the bulb is little bright why? what is the reason?

$${sometimes}\:{when}\:{we}\:{disconnected}\:{the} \\ $$$${current}\:{in}\:{a}\:{circuit}\:{that}\:{the}\:{bulb}\:{is}\:{little} \\ $$$${bright}\:{why}?\:{what}\:{is}\:{the}\:{reason}? \\ $$

Question Number 188889 Answers: 1 Comments: 0

If, y= (( Arcsin((√x) ))/( (√( x (1−x ))))) ⇒ y′ .p(x) + y .q(x)= 1 find , ∫_0 ^( 1) p(x).q(x)dx=? p , q are two pllynomils...

$$ \\ $$$$\:\:{If},\:{y}=\:\frac{\:{Arcsin}\left(\sqrt{{x}}\:\right)}{\:\sqrt{\:{x}\:\left(\mathrm{1}−{x}\:\right)}}\:\:\Rightarrow \\ $$$$\:\:\:{y}'\:.{p}\left({x}\right)\:+\:{y}\:.{q}\left({x}\right)=\:\mathrm{1} \\ $$$$ \\ $$$$\:\:\:{find}\:,\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} {p}\left({x}\right).{q}\left({x}\right){dx}=? \\ $$$$\:\:\:\:{p}\:,\:{q}\:\:{are}\:{two}\:{pllynomils}... \\ $$$$ \\ $$

Question Number 188881 Answers: 1 Comments: 0

Q : the non−zero vector a^→ = (a_1 , a_( 2) , a_( 3) ) with the coordinate axes makes the angles , α , β and γ . prove that the following equality. cos^( 2) (α ) +cos^( 2) (β )+ cos^( 2) ( γ )= 1

$$ \\ $$$$\:\:\:\:\mathrm{Q}\::\:\:\mathrm{the}\:\mathrm{non}−\mathrm{zero}\:\mathrm{vector}\:\overset{\rightarrow} {{a}}\:=\:\left({a}_{\mathrm{1}} \:,\:{a}_{\:\mathrm{2}} \:,\:{a}_{\:\mathrm{3}} \:\right)\:\mathrm{with} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{the}\:\:\mathrm{coordinate}\:\mathrm{axes}\:\mathrm{makes}\:\mathrm{the} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{angles}\:\:,\:\:\alpha\:\:\:,\:\:\beta\:\:\mathrm{and}\:\:\:\gamma\:.\:\:\mathrm{prove} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{that}\:\:\mathrm{the}\:\mathrm{following}\:\mathrm{equality}. \\ $$$$\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\mathrm{cos}^{\:\mathrm{2}} \:\left(\alpha\:\right)\:+\mathrm{cos}^{\:\mathrm{2}} \:\left(\beta\:\:\right)+\:\mathrm{cos}^{\:\mathrm{2}} \:\left(\:\gamma\:\right)=\:\mathrm{1} \\ $$$$ \\ $$$$ \\ $$

Question Number 188879 Answers: 2 Comments: 3

Find the sum of all three digit numbers started with odd number when each digit are different. Please help...

$${Find}\:{the}\:{sum}\:{of}\:{all}\:{three}\:{digit}\:{numbers} \\ $$$${started}\:{with}\:{odd}\:{number}\:{when}\:{each}\:{digit} \\ $$$${are}\:{different}. \\ $$$$ \\ $$$${Please}\:{help}... \\ $$

Question Number 188861 Answers: 2 Comments: 0

Question Number 188860 Answers: 0 Comments: 0

Question Number 188864 Answers: 0 Comments: 0

Question Number 188845 Answers: 3 Comments: 0

Question Number 188834 Answers: 0 Comments: 8

does the multinomial name a polynomial?

$${does}\:{the}\:{multinomial}\:{name}\:{a}\:{polynomial}? \\ $$

Question Number 188826 Answers: 0 Comments: 1

prove that lim_(n→∞) (((1! 2! 3!∙∙∙∙∙n!))^(1/(n(n+1))) /( (√n)))=e^((−3)/4)

$${prove}\:{that} \\ $$$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\frac{\sqrt[{{n}\left({n}+\mathrm{1}\right)}]{\mathrm{1}!\:\mathrm{2}!\:\mathrm{3}!\centerdot\centerdot\centerdot\centerdot\centerdot{n}!}}{\:\sqrt{{n}}}={e}^{\frac{−\mathrm{3}}{\mathrm{4}}} \\ $$

Question Number 188821 Answers: 0 Comments: 0

Question Number 188819 Answers: 2 Comments: 1

calculate lim_( x→ 0^( +) ) ( (√( cos ( (√x) ))) )^( cot( x )) = ?

$$ \\ $$$$\:\:\:\:\:\:\:\mathrm{calculate}\: \\ $$$$\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{lim}_{\:{x}\rightarrow\:\mathrm{0}^{\:+} } \left(\:\sqrt{\:\mathrm{cos}\:\left(\:\sqrt{{x}}\:\right)}\:\right)^{\:\mathrm{cot}\left(\:{x}\:\right)} \:=\:?\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$ \\ $$$$ \\ $$

Question Number 188806 Answers: 2 Comments: 0

Find minimum value of 2x^2 +2xy+4y+5y^2 −x for x and y real numbers

$${Find}\:{minimum}\:{value}\:{of}\: \\ $$$$\:\:\mathrm{2}{x}^{\mathrm{2}} +\mathrm{2}{xy}+\mathrm{4}{y}+\mathrm{5}{y}^{\mathrm{2}} −{x}\: \\ $$$$\:{for}\:{x}\:{and}\:{y}\:{real}\:{numbers} \\ $$

Question Number 188798 Answers: 1 Comments: 0

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