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Question Number 100150    Answers: 0   Comments: 3

x^(ln) −e^6 ∙x=0 x=? help me

$$\mathrm{x}^{\mathrm{ln}} −\mathrm{e}^{\mathrm{6}} \centerdot\mathrm{x}=\mathrm{0}\:\:\:\:\:\:\mathrm{x}=? \\ $$$$\mathrm{help}\:\mathrm{me} \\ $$

Question Number 100341    Answers: 1   Comments: 1

An open box with a square base is to be made out of a given quantity of a cardboard of area c^2 square units.show the maximum volume of the box (c^2 /(6(√3))) cubic units

$$\mathrm{An}\:\mathrm{open}\:\mathrm{box}\:\mathrm{with}\:\mathrm{a}\:\mathrm{square} \\ $$$$\mathrm{base}\:\mathrm{is}\:\mathrm{to}\:\mathrm{be}\:\mathrm{made}\:\mathrm{out} \\ $$$$\mathrm{of}\:\mathrm{a}\:\mathrm{given}\:\mathrm{quantity}\:\mathrm{of} \\ $$$$\mathrm{a}\:\mathrm{cardboard}\:\mathrm{of}\:\mathrm{area}\:\mathrm{c}^{\mathrm{2}} \\ $$$$\mathrm{square}\:\mathrm{units}.\mathrm{show}\:\mathrm{the} \\ $$$$\mathrm{maximum}\:\mathrm{volume}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{box}\:\frac{\mathrm{c}^{\mathrm{2}} }{\mathrm{6}\sqrt{\mathrm{3}}}\:\:\mathrm{cubic}\:\mathrm{units} \\ $$$$ \\ $$

Question Number 100146    Answers: 1   Comments: 3

Question Number 100134    Answers: 1   Comments: 2

lim_(x→(π/2)) ((4sin x−(√(6(√(sin x))+10)))/((π/2)−x)) ?

$$\underset{{x}\rightarrow\frac{\pi}{\mathrm{2}}} {\mathrm{lim}}\:\frac{\mathrm{4sin}\:\mathrm{x}−\sqrt{\mathrm{6}\sqrt{\mathrm{sin}\:\mathrm{x}}+\mathrm{10}}}{\frac{\pi}{\mathrm{2}}−\mathrm{x}}\:? \\ $$

Question Number 100133    Answers: 1   Comments: 0

If sin^(−1) θ+sin^(−1) β=π θ+β−(2/(θ^2 +β^2 )) = ?

$$\mathrm{If}\:\mathrm{sin}^{−\mathrm{1}} \theta+\mathrm{sin}^{−\mathrm{1}} \beta=\pi\: \\ $$$$\theta+\beta−\frac{\mathrm{2}}{\theta^{\mathrm{2}} +\beta^{\mathrm{2}} }\:=\:? \\ $$

Question Number 100131    Answers: 2   Comments: 3

If 3sin x+4cos x=5 then sin x=?

$$\mathrm{If}\:\mathrm{3sin}\:\mathrm{x}+\mathrm{4cos}\:\mathrm{x}=\mathrm{5}\:\mathrm{then}\:\mathrm{sin}\:\mathrm{x}=? \\ $$

Question Number 100130    Answers: 1   Comments: 0

how many integer number satisfy the equation ((sin x−∣x+2∣)/(x^2 −4x−5)) ≥ 0

$$\mathrm{how}\:\mathrm{many}\:\mathrm{integer}\:\mathrm{number}\: \\ $$$$\mathrm{satisfy}\:\mathrm{the}\:\mathrm{equation}\: \\ $$$$\frac{\mathrm{sin}\:\mathrm{x}−\mid\mathrm{x}+\mathrm{2}\mid}{\mathrm{x}^{\mathrm{2}} −\mathrm{4x}−\mathrm{5}}\:\geqslant\:\mathrm{0}\: \\ $$

Question Number 100114    Answers: 1   Comments: 0

Question Number 100106    Answers: 0   Comments: 6

APK with the option to review a post in forum is available. Review is essentially same as comment however an editable original post is included in editor. While review post with images image is used as background and you can use shapes like ovals circle etc to highlight. This should remove to manually count lines to highlight corrections. Once in progress enhancements are this version app will updated to playstore.

$$\mathrm{APK}\:\mathrm{with}\:\mathrm{the}\:\mathrm{option}\:\mathrm{to}\:\mathrm{review} \\ $$$$\mathrm{a}\:\mathrm{post}\:\mathrm{in}\:\mathrm{forum}\:\mathrm{is}\:\mathrm{available}. \\ $$$$\mathrm{Review}\:\mathrm{is}\:\mathrm{essentially}\:\mathrm{same}\:\mathrm{as}\:\mathrm{comment} \\ $$$$\mathrm{however}\:\mathrm{an}\:\mathrm{editable}\:\mathrm{original} \\ $$$$\mathrm{post}\:\mathrm{is}\:\mathrm{included}\:\mathrm{in}\:\mathrm{editor}. \\ $$$$\mathrm{While}\:\mathrm{review}\:\mathrm{post}\:\mathrm{with}\:\mathrm{images} \\ $$$$\mathrm{image}\:\mathrm{is}\:\mathrm{used}\:\mathrm{as}\:\mathrm{background}\:\mathrm{and} \\ $$$$\mathrm{you}\:\mathrm{can}\:\mathrm{use}\:\mathrm{shapes}\:\mathrm{like}\:\mathrm{ovals} \\ $$$$\mathrm{circle}\:\mathrm{etc}\:\mathrm{to}\:\mathrm{highlight}. \\ $$$$\mathrm{This}\:\mathrm{should}\:\mathrm{remove}\:\mathrm{to}\:\mathrm{manually} \\ $$$$\mathrm{count}\:\mathrm{lines}\:\mathrm{to}\:\mathrm{highlight}\:\mathrm{corrections}. \\ $$$$\mathrm{Once}\:\mathrm{in}\:\mathrm{progress}\:\mathrm{enhancements}\:\mathrm{are} \\ $$$$\mathrm{this}\:\mathrm{version}\:\mathrm{app}\:\mathrm{will}\:\mathrm{updated}\:\mathrm{to}\:\mathrm{playstore}. \\ $$

Question Number 100097    Answers: 0   Comments: 1

∫(tanx)^e^(iπ) dx

$$\int\left({tanx}\right)^{{e}^{{i}\pi} } {dx} \\ $$

Question Number 100089    Answers: 0   Comments: 0

calculate A_n =∫_0 ^(π/2) ((sin^n (x))/(sin(nx)))dx

$$\:\mathrm{calculate}\:\mathrm{A}_{\mathrm{n}} =\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\frac{\mathrm{sin}^{\mathrm{n}} \left(\mathrm{x}\right)}{\mathrm{sin}\left(\mathrm{nx}\right)}\mathrm{dx}\: \\ $$

Question Number 100088    Answers: 1   Comments: 1

calculate ∫ ((cosx)/(cos(3x)))dx

$$\mathrm{calculate}\:\int\:\frac{\mathrm{cosx}}{\mathrm{cos}\left(\mathrm{3x}\right)}\mathrm{dx} \\ $$

Question Number 100087    Answers: 1   Comments: 1

use beta function to calculate ∫_0 ^π sin^3 x(2+cosx)^6 dx

$$\mathrm{use}\:\mathrm{beta}\:\mathrm{function}\:\mathrm{to}\:\mathrm{calculate}\:\int_{\mathrm{0}} ^{\pi} \:\mathrm{sin}^{\mathrm{3}} \mathrm{x}\left(\mathrm{2}+\mathrm{cosx}\right)^{\mathrm{6}} \:\mathrm{dx} \\ $$

Question Number 100074    Answers: 1   Comments: 0

Question Number 100068    Answers: 2   Comments: 0

hello all i have some questions? 1)what is the riemann hypothesis? 2)how did they determine the distance to the sun? 3)how did we measure the speed of light?

$${hello}\:{all}\:{i}\:{have}\:{some}\:{questions}? \\ $$$$ \\ $$$$\left.\mathrm{1}\right){what}\:{is}\:{the}\:{riemann}\:{hypothesis}? \\ $$$$ \\ $$$$\left.\mathrm{2}\right){how}\:{did}\:{they}\:{determine}\:{the}\:{distance} \\ $$$${to}\:{the}\:{sun}? \\ $$$$ \\ $$$$\left.\mathrm{3}\right){how}\:{did}\:{we}\:{measure}\:{the}\:{speed}\:{of}\:{light}? \\ $$$$ \\ $$

Question Number 100065    Answers: 8   Comments: 0

Question Number 100054    Answers: 1   Comments: 0

I_(n,m) =∫_0 ^1 ∫_0 ^1 (((ln(x))^n (ln(y))^m )/(1−xy))dx dy

$${I}_{{n},{m}} =\int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\mathrm{1}} \frac{\left({ln}\left({x}\right)\right)^{{n}} \left({ln}\left({y}\right)\right)^{{m}} }{\mathrm{1}−{xy}}{dx}\:{dy} \\ $$

Question Number 100053    Answers: 0   Comments: 0

Question Number 100048    Answers: 1   Comments: 0

Question Number 100047    Answers: 2   Comments: 0

∫_0 ^1 e^(−x^2 ) dx

$$\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{e}^{−\mathrm{x}^{\mathrm{2}} } \mathrm{dx} \\ $$

Question Number 100042    Answers: 1   Comments: 0

Question Number 100040    Answers: 0   Comments: 2

Question Number 100037    Answers: 0   Comments: 2

lim_(x→∞) x(√x) sin (2x) ?

$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{x}\sqrt{\mathrm{x}}\:\mathrm{sin}\:\left(\mathrm{2x}\right)\:? \\ $$

Question Number 100032    Answers: 1   Comments: 1

Given f((x/(x+1))) = x^2 . find minimum value of function h(x)=f(x)−(3/(x−1))

$$\mathrm{Given}\:\mathrm{f}\left(\frac{\mathrm{x}}{\mathrm{x}+\mathrm{1}}\right)\:=\:\mathrm{x}^{\mathrm{2}} \:.\:\mathrm{find}\:\mathrm{minimum}\:\mathrm{value} \\ $$$$\mathrm{of}\:\mathrm{function}\:\mathrm{h}\left(\mathrm{x}\right)=\mathrm{f}\left(\mathrm{x}\right)−\frac{\mathrm{3}}{\mathrm{x}−\mathrm{1}} \\ $$

Question Number 100036    Answers: 1   Comments: 0

f(x)= (((√(1+sin 2x))−(√(1−2sin x)))/x) g(x) = 2x+ (√(2x)) . find lim_(x→0) g(f(x))

$$\mathrm{f}\left(\mathrm{x}\right)=\:\frac{\sqrt{\mathrm{1}+\mathrm{sin}\:\mathrm{2x}}−\sqrt{\mathrm{1}−\mathrm{2sin}\:\mathrm{x}}}{\mathrm{x}} \\ $$$$\mathrm{g}\left(\mathrm{x}\right)\:=\:\mathrm{2x}+\:\sqrt{\mathrm{2x}}\:.\:\mathrm{find}\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\mathrm{g}\left(\mathrm{f}\left(\mathrm{x}\right)\right) \\ $$

Question Number 100027    Answers: 1   Comments: 2

lim_(x→0) xsin ((1/x)) ?

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\mathrm{xsin}\:\left(\frac{\mathrm{1}}{\mathrm{x}}\right)\:?\: \\ $$

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