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AllQuestion and Answers: Page 439

Question Number 174346 Answers: 1 Comments: 0

(1/(cos^2 10°)) +(1/(sin^2 20°)) +(1/(sin^2 40°)) −(1/(cos^2 45° ))=?

$$\:\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{cos}\:^{\mathrm{2}} \mathrm{10}°}\:+\frac{\mathrm{1}}{\mathrm{sin}\:^{\mathrm{2}} \mathrm{20}°}\:+\frac{\mathrm{1}}{\mathrm{sin}\:^{\mathrm{2}} \mathrm{40}°}\:−\frac{\mathrm{1}}{\mathrm{cos}\:^{\mathrm{2}} \mathrm{45}°\:}=? \\ $$

Question Number 174341 Answers: 3 Comments: 1

1.∫_( 1) ^( 2) (√(x+(√(x−1)) )) dx=? 2. ∫_( 0) ^( (𝛑/2)) ((2sinx+4cosx)/(sinx+cosx)) dx=?

$$\:\:\:\:\mathrm{1}.\underset{\:\:\:\:\mathrm{1}} {\overset{\:\:\:\:\:\:\:\:\:\:\mathrm{2}} {\int}}\:\sqrt{\boldsymbol{{x}}+\sqrt{\boldsymbol{{x}}−\mathrm{1}}\:}\:\boldsymbol{{dx}}=? \\ $$$$\:\:\:\:\:\mathrm{2}.\:\:\:\underset{\:\:\:\:\:\mathrm{0}} {\overset{\:\:\:\:\:\:\:\:\frac{\boldsymbol{\pi}}{\mathrm{2}}} {\int}}\:\:\frac{\mathrm{2}\boldsymbol{{sinx}}+\mathrm{4}\boldsymbol{{cosx}}}{\boldsymbol{{sinx}}+\boldsymbol{{cosx}}}\:\:\boldsymbol{{dx}}=? \\ $$

Question Number 174340 Answers: 0 Comments: 0

Question Number 174331 Answers: 0 Comments: 1

Question Number 174327 Answers: 1 Comments: 0

Question Number 174324 Answers: 2 Comments: 5

Factorize:− 2x^2 y^2 + 2y^2 z^2 + 2z^2 x^2 − x^4 − y^4 − z^4

$$\mathrm{F}{actorize}:− \\ $$$$\mathrm{2}{x}^{\mathrm{2}} {y}^{\mathrm{2}} \:+\:\mathrm{2}{y}^{\mathrm{2}} {z}^{\mathrm{2}} \:+\:\mathrm{2}{z}^{\mathrm{2}} {x}^{\mathrm{2}} \:−\:{x}^{\mathrm{4}} \:−\:{y}^{\mathrm{4}} \:−\:{z}^{\mathrm{4}} \\ $$

Question Number 176895 Answers: 2 Comments: 0

7C=log_2 (1/6)+log_3 27 Solve

$$\mathrm{7C}=\mathrm{log}_{\mathrm{2}} \frac{\mathrm{1}}{\mathrm{6}}+\mathrm{log}_{\mathrm{3}} \mathrm{27} \\ $$$$ \\ $$$$\mathrm{Solve} \\ $$

Question Number 176894 Answers: 1 Comments: 0

Question Number 176893 Answers: 1 Comments: 0

[4(x^2 +2) +(9/((x^2 +2)))]_(min)

$$\:\:\:\:\left[\mathrm{4}\left({x}^{\mathrm{2}} +\mathrm{2}\right)\:+\frac{\mathrm{9}}{\left({x}^{\mathrm{2}} +\mathrm{2}\right)}\right]_{\mathrm{min}} \\ $$

Question Number 176891 Answers: 1 Comments: 0

Question Number 174367 Answers: 0 Comments: 2

solve y^(10) ((dy/dx))+(y^(11) /((x−1)))=xy^(12)

$$\mathrm{solve} \\ $$$$\mathrm{y}^{\mathrm{10}} \left(\frac{\mathrm{dy}}{\mathrm{dx}}\right)+\frac{\mathrm{y}^{\mathrm{11}} }{\left(\mathrm{x}−\mathrm{1}\right)}=\mathrm{xy}^{\mathrm{12}} \\ $$

Question Number 174315 Answers: 1 Comments: 0

Question Number 174304 Answers: 1 Comments: 0

Question Number 174303 Answers: 1 Comments: 0

Question Number 174292 Answers: 1 Comments: 0

((log((√(x+1))+1))/(log^3 (√(x−40))))=3 find x

$$\frac{\mathrm{log}\left(\sqrt{\mathrm{x}+\mathrm{1}}+\mathrm{1}\right)}{\mathrm{log}^{\mathrm{3}} \sqrt{\mathrm{x}−\mathrm{40}}}=\mathrm{3} \\ $$$$\mathrm{find}\:\mathrm{x} \\ $$

Question Number 174291 Answers: 1 Comments: 0

Find (x/y)+(y/x) if log(((x+y)/3))=((logx+logy)/2)

$$\mathrm{Find} \\ $$$$\frac{\mathrm{x}}{\mathrm{y}}+\frac{\mathrm{y}}{\mathrm{x}} \\ $$$$\mathrm{if}\:\mathrm{log}\left(\frac{\mathrm{x}+\mathrm{y}}{\mathrm{3}}\right)=\frac{\mathrm{logx}+\mathrm{logy}}{\mathrm{2}} \\ $$

Question Number 174288 Answers: 1 Comments: 2

Question Number 174287 Answers: 2 Comments: 0

Question Number 174283 Answers: 1 Comments: 1

Question Number 174276 Answers: 2 Comments: 0

Question Number 174271 Answers: 0 Comments: 2

max ( sin(x).cos^( 3) (x))=? x∈ [0 , (π/2) ]

$$ \\ $$$$\:\:\:\:{max}\:\left(\:\:{sin}\left({x}\right).{cos}^{\:\mathrm{3}} \left({x}\right)\right)=? \\ $$$$\:\:\:\:\:\:\:\:\:{x}\in\:\left[\mathrm{0}\:,\:\frac{\pi}{\mathrm{2}}\:\right] \\ $$

Question Number 174269 Answers: 2 Comments: 0

solve (x^2 −3)^2 =x+3

$${solve}\:\left({x}^{\mathrm{2}} −\mathrm{3}\right)^{\mathrm{2}} ={x}+\mathrm{3} \\ $$

Question Number 174267 Answers: 0 Comments: 7

Q:: Find the value of : Max_( x∈ [ 0 , (π/2) ]) { sin (x ). cos^( 3) ( x )∣ }=?

$$ \\ $$$$\:\:\:\:\:\:\:\:\mathrm{Q}::\:\:\mathrm{Find}\:\:\:\mathrm{the}\:\:\mathrm{value}\:\:\mathrm{of}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathbb{M}\mathrm{ax}_{\:{x}\in\:\left[\:\mathrm{0}\:,\:\frac{\pi}{\mathrm{2}}\:\right]} \:\:\left\{\:\mathrm{sin}\:\left({x}\:\right).\:\mathrm{cos}^{\:\mathrm{3}} \left(\:{x}\:\right)\mid\:\:\right\}=?\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\: \\ $$

Question Number 181448 Answers: 0 Comments: 1

solve for m m^m^m^m =62

$$\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{m}} \\ $$$$\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{m}}^{\boldsymbol{\mathrm{m}}^{\boldsymbol{\mathrm{m}}^{\boldsymbol{\mathrm{m}}} } } =\mathrm{62} \\ $$$$ \\ $$

Question Number 181447 Answers: 4 Comments: 0

f(x+(1/x))=x^5 +(1/x^5 ) f(3)=?

$$\:\:\:\:\:\:\:\boldsymbol{\mathrm{f}}\left(\boldsymbol{\mathrm{x}}+\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}}\right)=\boldsymbol{\mathrm{x}}^{\mathrm{5}} +\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}^{\mathrm{5}} } \\ $$$$\:\:\:\:\:\boldsymbol{\mathrm{f}}\left(\mathrm{3}\right)=? \\ $$

Question Number 181449 Answers: 0 Comments: 1

integrate ∫x^x dx

$$\:\:\:\:\:\:\:\mathrm{integrate} \\ $$$$\:\:\:\:\:\:\:\:\int\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{x}}} \boldsymbol{\mathrm{dx}} \\ $$

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