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Question Number 200570    Answers: 1   Comments: 0

Question Number 200569    Answers: 1   Comments: 0

Question Number 200568    Answers: 1   Comments: 2

Question Number 200565    Answers: 1   Comments: 2

sin^(10) x + cos^(10) x = ((29)/(16)) cos^4 2x find: x = ?

$$\mathrm{sin}^{\mathrm{10}} \mathrm{x}\:\:+\:\:\mathrm{cos}^{\mathrm{10}} \mathrm{x}\:\:=\:\:\frac{\mathrm{29}}{\mathrm{16}}\:\mathrm{cos}^{\mathrm{4}} \mathrm{2x} \\ $$$$\mathrm{find}:\:\:\:\mathrm{x}\:=\:? \\ $$

Question Number 200594    Answers: 2   Comments: 0

Question Number 200553    Answers: 0   Comments: 0

∫_0 ^1 ((tan^(−1) (x))/( (√(1+x)))) dx =?

$$\:\:\:\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{x}\right)}{\:\sqrt{\mathrm{1}+\mathrm{x}}}\:\mathrm{dx}\:=?\: \\ $$

Question Number 200549    Answers: 1   Comments: 0

Question Number 200533    Answers: 2   Comments: 5

Question Number 200531    Answers: 1   Comments: 0

Question Number 200498    Answers: 5   Comments: 3

solve for x∈R (√(x−(1/x)))+(√(1−(1/x)))=x

$${solve}\:{for}\:{x}\in{R} \\ $$$$\sqrt{{x}−\frac{\mathrm{1}}{{x}}}+\sqrt{\mathrm{1}−\frac{\mathrm{1}}{{x}}}={x} \\ $$

Question Number 200476    Answers: 1   Comments: 0

Question Number 200475    Answers: 1   Comments: 0

Question Number 200474    Answers: 1   Comments: 0

Question Number 200472    Answers: 0   Comments: 0

Question Number 200471    Answers: 3   Comments: 0

Question Number 200465    Answers: 2   Comments: 1

Find the sum of the fifth powers of the roots of x^3 −2x^2 +x−1=0 by applying synthetic division

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{fifth}\:\mathrm{powers}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{x}^{\mathrm{3}} −\mathrm{2x}^{\mathrm{2}} +\mathrm{x}−\mathrm{1}=\mathrm{0}\:\mathrm{by} \\ $$$$\mathrm{applying}\:\mathrm{synthetic}\:\mathrm{division} \\ $$

Question Number 200464    Answers: 1   Comments: 0

∫_0 ^(π/2) (dx/(1+tan^(2023) x))=???????

$$\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{2}}} {\int}}\frac{{dx}}{\mathrm{1}+\mathrm{tan}^{\mathrm{2023}} \:{x}}=??????? \\ $$

Question Number 200460    Answers: 1   Comments: 0

Find the cardano′s solution of the equation 28x^3 −9x^2 +1=0

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{cardano}'\mathrm{s}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{equation}\:\mathrm{28x}^{\mathrm{3}} −\mathrm{9x}^{\mathrm{2}} +\mathrm{1}=\mathrm{0} \\ $$

Question Number 200459    Answers: 0   Comments: 1

In the equation x^3 −x−1=0, find the value of s_6 .

$$\mathrm{In}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{x}^{\mathrm{3}} −\mathrm{x}−\mathrm{1}=\mathrm{0},\:\mathrm{find}\:\mathrm{the} \\ $$$$\mathrm{value}\:\mathrm{of}\:\mathrm{s}_{\mathrm{6}} . \\ $$

Question Number 200457    Answers: 1   Comments: 1

Question Number 200450    Answers: 1   Comments: 0

if ((sin4x)/(cos6x)) = 0 find x = ?

$${if}\:\:\:\frac{{sin}\mathrm{4}{x}}{{cos}\mathrm{6}{x}}\:=\:\mathrm{0}\:\:\:{find}\:\:\:{x}\:=\:? \\ $$

Question Number 200446    Answers: 1   Comments: 0

fund Σ_(n=1) ^∞ (((3 + (−1)^n )^n )/n) x^n = ?

$${fund}\:\:\:\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\left(\mathrm{3}\:+\:\left(−\mathrm{1}\right)^{\boldsymbol{{n}}} \right)^{\boldsymbol{{n}}} }{{n}}\:{x}^{\boldsymbol{{n}}} \:=\:? \\ $$

Question Number 200444    Answers: 1   Comments: 0

Question Number 200438    Answers: 0   Comments: 1

Find: (√(3 + (√(6 + (√(9 + ... + (√(96 + (√(99)))))))))) = ?

$$\mathrm{Find}: \\ $$$$\sqrt{\mathrm{3}\:+\:\sqrt{\mathrm{6}\:+\:\sqrt{\mathrm{9}\:+\:...\:+\:\sqrt{\mathrm{96}\:+\:\sqrt{\mathrm{99}}}}}}\:=\:? \\ $$

Question Number 200432    Answers: 0   Comments: 2

Question Number 200428    Answers: 1   Comments: 0

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