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Question Number 148350 Answers: 0 Comments: 1

(((1/2)+(1/3)+....+(1/9))/((9/1)+(8/2)+...+(1/9)))=?

$$\frac{\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+....+\frac{\mathrm{1}}{\mathrm{9}}}{\frac{\mathrm{9}}{\mathrm{1}}+\frac{\mathrm{8}}{\mathrm{2}}+...+\frac{\mathrm{1}}{\mathrm{9}}}=? \\ $$

Question Number 148341 Answers: 0 Comments: 0

Solve the inequality: (5 - ∣x∣ )^(− (1/3)) ∙ (x^2 - 4) < 0

$${Solve}\:{the}\:{inequality}: \\ $$$$\left(\mathrm{5}\:-\:\mid{x}\mid\:\right)^{−\:\frac{\mathrm{1}}{\mathrm{3}}} \:\centerdot\:\left({x}^{\mathrm{2}} \:-\:\mathrm{4}\right)\:<\:\mathrm{0} \\ $$

Question Number 148339 Answers: 1 Comments: 0

arccos (cos 9) = ?

$${arccos}\:\left({cos}\:\mathrm{9}\right)\:=\:? \\ $$

Question Number 148334 Answers: 1 Comments: 0

Question Number 148333 Answers: 2 Comments: 0

((x)^(1/3) + (1/( (√x))))^(15) Find the limit that does not inclued the variable x in the opening of the binomial.

$$\left(\sqrt[{\mathrm{3}}]{{x}}\:+\:\frac{\mathrm{1}}{\:\sqrt{{x}}}\right)^{\mathrm{15}} \\ $$$${Find}\:{the}\:{limit}\:{that}\:{does}\:{not}\:{inclued} \\ $$$${the}\:{variable}\:\boldsymbol{{x}}\:{in}\:{the}\:{opening}\:{of}\:{the} \\ $$$${binomial}. \\ $$

Question Number 148330 Answers: 1 Comments: 0

Question Number 148328 Answers: 2 Comments: 0

lim_(x→0) ((sin 2x+2sin^2 x−2sin x)/(cos x−cos^2 x)) =?

$$\:\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\mathrm{2x}+\mathrm{2sin}\:^{\mathrm{2}} \mathrm{x}−\mathrm{2sin}\:\mathrm{x}}{\mathrm{cos}\:\mathrm{x}−\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}}\:=? \\ $$

Question Number 148326 Answers: 1 Comments: 0

Find Lim_(x→∞) (e^x +x)

$${Find}\: \\ $$$${Li}\underset{{x}\rightarrow\infty} {{m}}\left({e}^{{x}} +{x}\right) \\ $$

Question Number 148324 Answers: 2 Comments: 0

x^2 −y^2 =3, find dy/dx

$${x}^{\mathrm{2}} −{y}^{\mathrm{2}} =\mathrm{3},\:{find}\:{dy}/{dx} \\ $$

Question Number 148323 Answers: 2 Comments: 0

lim_(x→0) ((5sin x−7sin 2x+3sin 3x)/(tan x−x)) =?

$$\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{5sin}\:\mathrm{x}−\mathrm{7sin}\:\mathrm{2x}+\mathrm{3sin}\:\mathrm{3x}}{\mathrm{tan}\:\mathrm{x}−\mathrm{x}}\:=? \\ $$

Question Number 148321 Answers: 1 Comments: 0

Question Number 148437 Answers: 2 Comments: 0

Question Number 148314 Answers: 1 Comments: 1

solve: x^x = (1/4) How can we get the complex solution

$$\mathrm{solve}:\:\:\:\:\:\:\mathrm{x}^{\mathrm{x}} \:\:\:=\:\:\:\frac{\mathrm{1}}{\mathrm{4}} \\ $$$$\mathrm{How}\:\mathrm{can}\:\mathrm{we}\:\mathrm{get}\:\mathrm{the}\:\mathrm{complex}\:\mathrm{solution} \\ $$

Question Number 148364 Answers: 0 Comments: 2

Question Number 148303 Answers: 2 Comments: 0

f(x)=((cos(2x))/(sin(x))) developp f at fourier serie

$$\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{cos}\left(\mathrm{2x}\right)}{\mathrm{sin}\left(\mathrm{x}\right)} \\ $$$$\mathrm{developp}\:\mathrm{f}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{serie} \\ $$

Question Number 148398 Answers: 1 Comments: 0

Question Number 148289 Answers: 1 Comments: 1

Question Number 148285 Answers: 1 Comments: 1

∫_1 ^∞ (1/(x^2 lnx))dx=?

$$\int_{\mathrm{1}} ^{\infty} \frac{\mathrm{1}}{{x}^{\mathrm{2}} \mathrm{ln}{x}}{dx}=? \\ $$

Question Number 148284 Answers: 1 Comments: 0

Question Number 148301 Answers: 1 Comments: 0

Solve for equation: 4sin^2 (x) + sin(2x) = 2

$${Solve}\:{for}\:{equation}: \\ $$$$\mathrm{4}{sin}^{\mathrm{2}} \left({x}\right)\:+\:{sin}\left(\mathrm{2}{x}\right)\:=\:\mathrm{2} \\ $$

Question Number 148300 Answers: 2 Comments: 0

lg^2 (10x) + lg(10x) = 6 - lg(x) x = ?

$${lg}^{\mathrm{2}} \left(\mathrm{10}{x}\right)\:+\:{lg}\left(\mathrm{10}{x}\right)\:=\:\mathrm{6}\:-\:{lg}\left({x}\right) \\ $$$${x}\:=\:? \\ $$

Question Number 148302 Answers: 2 Comments: 0

calculate ∫_(∣z∣=3) ((cos(2iz))/((z−2i)(z+i(√3))^2 ))dz

$$\mathrm{calculate}\:\:\int_{\mid\mathrm{z}\mid=\mathrm{3}} \:\:\:\frac{\mathrm{cos}\left(\mathrm{2iz}\right)}{\left(\mathrm{z}−\mathrm{2i}\right)\left(\mathrm{z}+\mathrm{i}\sqrt{\mathrm{3}}\right)^{\mathrm{2}} }\mathrm{dz} \\ $$

Question Number 148280 Answers: 0 Comments: 0

Question Number 148279 Answers: 0 Comments: 0

Question Number 148278 Answers: 0 Comments: 0

Question Number 148276 Answers: 1 Comments: 0

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