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Question Number 164747 Answers: 1 Comments: 0

faind (dy/dx) sin^(−1) (xy)=csc^(−1) (x−y)

$${faind}\:\:\frac{{dy}}{{dx}} \\ $$$${sin}^{−\mathrm{1}} \left({xy}\right)={csc}^{−\mathrm{1}} \left({x}−{y}\right) \\ $$

Question Number 164738 Answers: 0 Comments: 2

Question Number 164720 Answers: 2 Comments: 0

tan3x=5tanx x=?

$${tan}\mathrm{3}{x}=\mathrm{5}{tanx} \\ $$$${x}=? \\ $$

Question Number 164719 Answers: 0 Comments: 0

Question Number 164716 Answers: 1 Comments: 0

find minimum value of f(x)=4sin 2x−5sin x−5cos x+6

$$\:\:\:{find}\:{minimum}\:{value}\:{of}\: \\ $$$$\:{f}\left({x}\right)=\mathrm{4sin}\:\mathrm{2}{x}−\mathrm{5sin}\:{x}−\mathrm{5cos}\:{x}+\mathrm{6} \\ $$

Question Number 164713 Answers: 0 Comments: 1

Question Number 164712 Answers: 1 Comments: 0

Question Number 164709 Answers: 1 Comments: 0

Question Number 164728 Answers: 3 Comments: 1

Question Number 164705 Answers: 2 Comments: 0

lim_(x→0) (((1^x +2^x +...+n^x )/n))^(1/x)

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\frac{\mathrm{1}^{{x}} +\mathrm{2}^{{x}} +...+{n}^{{x}} }{{n}}\right)^{\frac{\mathrm{1}}{{x}}} \\ $$

Question Number 164703 Answers: 1 Comments: 0

Question Number 164702 Answers: 1 Comments: 0

lim_(x→0) (((1^x +2^x +∙∙∙+n^x )/n))^(1/x) =?

$${li}\underset{{x}\rightarrow\mathrm{0}} {{m}}\left(\frac{\mathrm{1}^{{x}} +\mathrm{2}^{{x}} +\centerdot\centerdot\centerdot+{n}^{{x}} }{{n}}\right)^{\frac{\mathrm{1}}{{x}}} =? \\ $$

Question Number 164699 Answers: 0 Comments: 0

Question Number 164686 Answers: 1 Comments: 0

∫36x^2 (2x+3)^(−7) dx

$$\int\mathrm{36}\boldsymbol{{x}}^{\mathrm{2}} \:\left(\mathrm{2}\boldsymbol{{x}}+\mathrm{3}\right)^{−\mathrm{7}} \:\boldsymbol{{dx}} \\ $$$$\: \\ $$

Question Number 164685 Answers: 1 Comments: 0

∫4x^2 (1−x)^3 dx

$$\int\mathrm{4}\boldsymbol{{x}}^{\mathrm{2}} \:\left(\mathrm{1}−\boldsymbol{{x}}\right)^{\mathrm{3}} \:\boldsymbol{{dx}} \\ $$

Question Number 164684 Answers: 1 Comments: 0

∫24(2x−1)^(−3) dx

$$\int\mathrm{24}\left(\mathrm{2}\boldsymbol{{x}}−\mathrm{1}\right)^{−\mathrm{3}} \:\boldsymbol{{dx}} \\ $$

Question Number 164683 Answers: 1 Comments: 0

∫(x^2 /((x+7)^4 ))dx

$$\int\frac{\boldsymbol{{x}}^{\mathrm{2}} }{\left(\boldsymbol{{x}}+\mathrm{7}\right)^{\mathrm{4}} }\boldsymbol{{dx}} \\ $$

Question Number 164682 Answers: 1 Comments: 0

∫27x^2 (√(3x−2)) dx

$$\int\mathrm{27}\boldsymbol{{x}}^{\mathrm{2}} \:\sqrt{\mathrm{3}\boldsymbol{{x}}−\mathrm{2}}\:\boldsymbol{{dx}} \\ $$

Question Number 164681 Answers: 1 Comments: 0

∫ (−8x(√(3−2x)) )dx

$$\int\:\left(−\mathrm{8}\boldsymbol{{x}}\sqrt{\mathrm{3}−\mathrm{2}\boldsymbol{{x}}}\:\right)\boldsymbol{{dx}} \\ $$

Question Number 164680 Answers: 0 Comments: 0

what is the proof of stirling′s formula without gamma function?

$${what}\:{is}\:{the}\:{proof}\:{of}\:{stirling}'{s}\:{formula} \\ $$$${without}\:{gamma}\:{function}? \\ $$

Question Number 164675 Answers: 0 Comments: 5

Question Number 164674 Answers: 0 Comments: 0

Question Number 164672 Answers: 1 Comments: 0

Question Number 164671 Answers: 1 Comments: 1

solve cos^( 3) (x) + sin^( 2) (x) = (7/8) adopted from youtube ...

$$ \\ $$$$\:\:\:\:\:\:\:\:{solve}\: \\ $$$$\:\:\:\:\:\:{cos}^{\:\mathrm{3}} \left({x}\right)\:+\:{sin}^{\:\mathrm{2}} \left({x}\right)\:=\:\frac{\mathrm{7}}{\mathrm{8}}\: \\ $$$$\:\:\:\:\:\:\:\:\:{adopted}\:{from}\:{youtube}\:... \\ $$$$ \\ $$

Question Number 164669 Answers: 0 Comments: 0

Question Number 164650 Answers: 1 Comments: 0

((x+9))^(1/3) −((x−9))^(1/3) = 3 x=?

$$\:\:\sqrt[{\mathrm{3}}]{{x}+\mathrm{9}}\:−\sqrt[{\mathrm{3}}]{{x}−\mathrm{9}}\:=\:\mathrm{3}\: \\ $$$$\:{x}=? \\ $$

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