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Question Number 76524    Answers: 3   Comments: 0

find vector unit perpendicular to vector a^− =(1,2,3) and b^− =(−1,0,2)

$${find}\:{vector}\:{unit}\:{perpendicular}\: \\ $$$${to}\:{vector}\:\overset{−} {{a}}=\left(\mathrm{1},\mathrm{2},\mathrm{3}\right)\:{and}\:\overset{−} {{b}}=\left(−\mathrm{1},\mathrm{0},\mathrm{2}\right) \\ $$

Question Number 76522    Answers: 0   Comments: 1

sir what′s difference (d/da) with (∂/∂a) ?

$${sir}\:{what}'{s}\:{difference}\:\frac{{d}}{{da}}\:{with}\:\frac{\partial}{\partial{a}}\:?\: \\ $$

Question Number 76514    Answers: 1   Comments: 1

calculate Π_(k=0) ^(n−1) (α^(k ) +α^−^k ) with α root of x^2 +2x+5 =0

$${calculate}\:\prod_{{k}=\mathrm{0}} ^{{n}−\mathrm{1}} \left(\alpha^{{k}\:} \:+\overset{−^{{k}} } {\alpha}\right)\:{with}\:\alpha\:{root}\:{of}\:{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{5}\:=\mathrm{0} \\ $$

Question Number 76495    Answers: 1   Comments: 5

how that tan2x=((2tanx)/(1−tan^2 x))

$$\mathrm{how}\:\mathrm{that} \\ $$$$\mathrm{tan2}{x}=\frac{\mathrm{2}{tanx}}{\mathrm{1}−{tan}^{\mathrm{2}} {x}} \\ $$

Question Number 76497    Answers: 2   Comments: 0

calculate tan(3x) interms of tanx

$${calculate}\:{tan}\left(\mathrm{3}{x}\right)\:{interms}\:{of}\:{tanx} \\ $$

Question Number 76477    Answers: 2   Comments: 0

Hello Solve in ]−π;π[ ((2sinx)/(cosx−sinx))≥0 result should be in radian please help me ...

$$\mathrm{Hello}\:\mathrm{Solve}\:\mathrm{in}\: \\ $$$$\left.\right]−\pi;\pi\left[\right. \\ $$$$\frac{\mathrm{2sin}{x}}{{cosx}−{sinx}}\geqslant\mathrm{0} \\ $$$$\mathrm{result}\:\mathrm{should}\:\mathrm{be}\:\mathrm{in}\:\mathrm{radian} \\ $$$$\mathrm{please}\:\mathrm{help}\:\mathrm{me}\:... \\ $$

Question Number 76475    Answers: 1   Comments: 0

Question Number 76469    Answers: 2   Comments: 3

∫cothx dx

$$\int{cothx}\:{dx} \\ $$

Question Number 76468    Answers: 1   Comments: 2

∫((1−x^2 −8x+1)/(x^4 −x^3 −x+1))dx

$$\int\frac{\mathrm{1}−{x}^{\mathrm{2}} −\mathrm{8}{x}+\mathrm{1}}{{x}^{\mathrm{4}} −{x}^{\mathrm{3}} −{x}+\mathrm{1}}{dx} \\ $$

Question Number 76467    Answers: 1   Comments: 0

∫(dx/((√(e^(2x) −4))(sec^(−1) ((e^x /4)))))

$$\int\frac{{dx}}{\sqrt{{e}^{\mathrm{2}{x}} −\mathrm{4}}\left({sec}^{−\mathrm{1}} \left(\frac{{e}^{{x}} }{\mathrm{4}}\right)\right)} \\ $$

Question Number 76465    Answers: 1   Comments: 0

∫e^(−x) (−e^(−3x) +5e^(−2x) −6)sin(2e^(−x) )dx

$$\int{e}^{−{x}} \left(−{e}^{−\mathrm{3}{x}} +\mathrm{5}{e}^{−\mathrm{2}{x}} −\mathrm{6}\right){sin}\left(\mathrm{2}{e}^{−{x}} \right){dx} \\ $$

Question Number 76462    Answers: 1   Comments: 4

∫cos3x e^(−2x) dx

$$\int{cos}\mathrm{3}{x}\:{e}^{−\mathrm{2}{x}} {dx} \\ $$

Question Number 76455    Answers: 1   Comments: 2

In a triangle whose sides measure 5 cm, 6 cm, and 7 cm a point P, inside the triangle is 2 cm from de long side 5 cm and 3 cm from the long side 6 cm. What is the distance from P beside 7 cm side?

$${In}\:{a}\:{triangle}\:{whose}\:{sides}\:{measure} \\ $$$$\mathrm{5}\:{cm},\:\mathrm{6}\:{cm},\:{and}\:\:\mathrm{7}\:{cm}\:{a}\:{point}\:{P},\:{inside} \\ $$$${the}\:{triangle}\:{is}\:\mathrm{2}\:{cm}\:{from}\:{de}\:{long}\:{side} \\ $$$$\mathrm{5}\:{cm}\:{and}\:\mathrm{3}\:{cm}\:{from}\:{the}\:{long}\:{side} \\ $$$$\mathrm{6}\:{cm}.\:{What}\:{is}\:{the}\:{distance}\:{from}\:{P} \\ $$$${beside}\:\mathrm{7}\:{cm}\:{side}? \\ $$

Question Number 76445    Answers: 0   Comments: 6

how evaluate lim_(x→0) (((1−(√(1+x^2 ))×cos x)/x^4 )).

$${how}\:{evaluate}\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\frac{\mathrm{1}−\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }×\mathrm{cos}\:{x}}{{x}^{\mathrm{4}} }\right). \\ $$

Question Number 76443    Answers: 1   Comments: 0

Question Number 76442    Answers: 1   Comments: 0

Question Number 76439    Answers: 1   Comments: 0

solve in [0;2π[ 1+2sin3x≤0

$$\mathrm{solve}\:\mathrm{in}\:\left[\mathrm{0};\mathrm{2}\pi\left[\:\right.\right. \\ $$$$\mathrm{1}+\mathrm{2sin3}{x}\leqslant\mathrm{0} \\ $$

Question Number 76438    Answers: 1   Comments: 0

given N =(4/(((√5)+1)(5^(1/4) +1)(5^(1/8) +1)(5^(1/(16)) +1))) find value of (N+1)^(48) .

$${given}\:{N}\:=\frac{\mathrm{4}}{\left(\sqrt{\mathrm{5}}+\mathrm{1}\right)\left(\mathrm{5}^{\frac{\mathrm{1}}{\mathrm{4}}} +\mathrm{1}\right)\left(\mathrm{5}^{\frac{\mathrm{1}}{\mathrm{8}}} +\mathrm{1}\right)\left(\mathrm{5}^{\frac{\mathrm{1}}{\mathrm{16}}} +\mathrm{1}\right)} \\ $$$${find}\:{value}\:{of}\:\left({N}+\mathrm{1}\right)^{\mathrm{48}} . \\ $$

Question Number 76436    Answers: 2   Comments: 0

Question Number 76434    Answers: 2   Comments: 0

if sec x − tan x = 4, then find sin x.

$$\mathrm{if}\:\mathrm{sec}\:\mathrm{x}\:−\:\mathrm{tan}\:\mathrm{x}\:=\:\mathrm{4},\:\mathrm{then}\:\mathrm{find}\: \\ $$$$\mathrm{sin}\:\mathrm{x}. \\ $$

Question Number 76431    Answers: 1   Comments: 1

how to find x^(2048) + x^(−2048) if x+x^(−1) =(((√5)+1)/2)

$${how}\:{to}\:{find}\:{x}^{\mathrm{2048}} \:+\:{x}^{−\mathrm{2048}} \\ $$$${if}\:\:{x}+{x}^{−\mathrm{1}} =\frac{\sqrt{\mathrm{5}}+\mathrm{1}}{\mathrm{2}} \\ $$

Question Number 76428    Answers: 2   Comments: 0

Question Number 76424    Answers: 1   Comments: 1

how to calculate ∫(√(x/(√(x/(√(x/(√(...)))))))) dx ?

$${how}\:{to}\:{calculate}\:\int\sqrt{\frac{{x}}{\sqrt{\frac{{x}}{\sqrt{\frac{{x}}{\sqrt{...}}}}}}}\:\:{dx}\:? \\ $$

Question Number 76407    Answers: 0   Comments: 0

Question Number 76404    Answers: 0   Comments: 2

Hello have nice end of year good bless you all i respond note in y re message becsuse i have so many problemes that mack me feel no pleasur any more to do somthing i think its importante to say it i will back Soon i hop so Sorry for my English

$$\mathrm{Hello}\:\mathrm{have}\:\mathrm{nice}\:\mathrm{end}\:\mathrm{of}\:\mathrm{year}\:\mathrm{good}\:\mathrm{bless}\:\mathrm{you} \\ $$$$\mathrm{all}\:\mathrm{i}\:\mathrm{respond}\:\mathrm{note}\:\mathrm{in}\:\mathrm{y}\:\mathrm{re}\:\mathrm{message}\:\mathrm{becsuse}\:\mathrm{i}\:\mathrm{have}\:\mathrm{so}\:\mathrm{many}\:\mathrm{problemes} \\ $$$$\mathrm{that}\:\mathrm{mack}\:\mathrm{me}\:\mathrm{feel}\:\mathrm{no}\:\mathrm{pleasur}\:\mathrm{any}\:\mathrm{more}\:\mathrm{to}\:\mathrm{do}\:\mathrm{somthing} \\ $$$$\mathrm{i}\:\mathrm{think}\:\mathrm{its}\:\mathrm{importante}\:\mathrm{to}\:\mathrm{say}\:\mathrm{it}\:\mathrm{i}\:\mathrm{will}\:\mathrm{back}\:\mathrm{Soon}\:\mathrm{i}\:\mathrm{hop}\:\mathrm{so}\:\:\mathrm{Sorry}\:\mathrm{for} \\ $$$$\mathrm{my}\:\mathrm{English} \\ $$

Question Number 76401    Answers: 1   Comments: 0

In a quadratic equation ax^2 −bx+c=0, a,b, c are distinct primes and the product of the sum of the roots and product of the roots is ((91)/9) . Find the absolute value of difference between the sum of the roots and the product of the roots.

$$\mathrm{In}\:\mathrm{a}\:\mathrm{quadratic}\:\mathrm{equation}\:{ax}^{\mathrm{2}} −{bx}+{c}=\mathrm{0}, \\ $$$${a},{b},\:{c}\:\:\mathrm{are}\:\mathrm{distinct}\:\mathrm{primes}\:\mathrm{and}\:\mathrm{the}\:\mathrm{product} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{and}\:\mathrm{product}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{roots}\:\mathrm{is}\:\frac{\mathrm{91}}{\mathrm{9}}\:.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{absolute}\:\mathrm{value}\:\mathrm{of} \\ $$$$\mathrm{difference}\:\mathrm{between}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{roots} \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{product}\:\mathrm{of}\:\mathrm{the}\:\mathrm{roots}. \\ $$

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