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Question Number 102298 Answers: 1 Comments: 0

sinx∙(dy/dx)−ycosx=y^3 sin^2 xcosx

$$\mathrm{sinx}\centerdot\frac{\mathrm{dy}}{\mathrm{dx}}−\mathrm{ycosx}=\mathrm{y}^{\mathrm{3}} \mathrm{sin}^{\mathrm{2}} \mathrm{xcosx} \\ $$

Question Number 102296 Answers: 1 Comments: 0

lim_(t→∞) (1/t) ∫_0 ^t sin (αx) cos (βx) dx

$$\underset{{t}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{1}}{{t}}\:\underset{\mathrm{0}} {\overset{{t}} {\int}}\:\mathrm{sin}\:\left(\alpha{x}\right)\:\mathrm{cos}\:\left(\beta{x}\right)\:{dx} \\ $$

Question Number 102295 Answers: 0 Comments: 0

Solve the equation : (x^2 lny−x)y′=y

$$\boldsymbol{\mathrm{Solve}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{equation}}\:: \\ $$$$\left(\boldsymbol{\mathrm{x}}^{\mathrm{2}} \boldsymbol{\mathrm{lny}}−\boldsymbol{\mathrm{x}}\right)\boldsymbol{\mathrm{y}}'=\boldsymbol{\mathrm{y}} \\ $$

Question Number 102330 Answers: 0 Comments: 0

Do this integration(please do it step by step and write the used formula) ∫(1/2)(sin x)(e^(sin x) )dx

$${Do}\:{this}\:{integration}\left({please}\:{do}\:{it}\:{step}\:{by}\:{step}\:{and}\:{write}\:{the}\:{used}\:{formula}\right) \\ $$$$\int\frac{\mathrm{1}}{\mathrm{2}}\left({sin}\:{x}\right)\left({e}^{{sin}\:{x}} \right){dx} \\ $$

Question Number 102329 Answers: 0 Comments: 0

Question Number 102328 Answers: 1 Comments: 0

Question Number 102292 Answers: 1 Comments: 0

Question Number 102283 Answers: 3 Comments: 0

sinx(dy/dx)−2ycosx=3sinx

$$\mathrm{sinx}\frac{\mathrm{dy}}{\mathrm{dx}}−\mathrm{2ycosx}=\mathrm{3sinx} \\ $$

Question Number 102278 Answers: 3 Comments: 4

Find the greatest coefficient in the following without actually expand. (i) (5 − 3x)^(10) (ii) (5 + 3x)^(− 10)

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{greatest}\:\mathrm{coefficient}\:\mathrm{in}\:\mathrm{the}\:\mathrm{following}\:\mathrm{without} \\ $$$$\mathrm{actually}\:\mathrm{expand}. \\ $$$$\left(\mathrm{i}\right)\:\:\:\:\:\:\:\:\left(\mathrm{5}\:\:−\:\:\mathrm{3x}\right)^{\mathrm{10}} \\ $$$$\left(\mathrm{ii}\right)\:\:\:\:\:\:\:\:\left(\mathrm{5}\:\:+\:\:\mathrm{3x}\right)^{−\:\mathrm{10}} \\ $$

Question Number 102275 Answers: 0 Comments: 2

∫_1 ^2 ln(((x^4 + 4)/(x^2 + 4)))(dx/x)

$$\int_{\mathrm{1}} ^{\mathrm{2}} \:\boldsymbol{{ln}}\left(\frac{\boldsymbol{{x}}^{\mathrm{4}} \:+\:\mathrm{4}}{\boldsymbol{{x}}^{\mathrm{2}} \:+\:\mathrm{4}}\right)\frac{\boldsymbol{{dx}}}{\boldsymbol{{x}}} \\ $$

Question Number 102269 Answers: 1 Comments: 0

if P_2 ^( n−m) =72 and P_2 ^( n+m) =210 find the value of m and n ?

$${if}\:{P}_{\mathrm{2}} ^{\:{n}−{m}} =\mathrm{72}\:\:{and}\:{P}_{\mathrm{2}} ^{\:{n}+{m}} =\mathrm{210}\:{find}\:{the}\:{value}\:{of}\:{m}\:{and}\:{n}\:? \\ $$

Question Number 102268 Answers: 0 Comments: 0

Question Number 102260 Answers: 2 Comments: 2

Question Number 102243 Answers: 1 Comments: 0

At examination, a student most answer to 8 question betwen a total of 10 question. 1) How many many choices is possible? 2)How many choices is possible if a student most answer to 3 questions at least? 3)How many choices is possible if a student most answer to at least 4 questions of the five first questions?

$${At}\:{examination},\:{a}\:{student}\:{most} \\ $$$${answer}\:{to}\:\mathrm{8}\:{question}\:{betwen}\:{a}\:{total} \\ $$$${of}\:\mathrm{10}\:{question}. \\ $$$$\left.\mathrm{1}\right)\:{How}\:{many}\:{many}\:{choices}\:{is}\: \\ $$$${possible}? \\ $$$$\left.\mathrm{2}\right){How}\:{many}\:{choices}\:{is}\:{possible}\:{if}\:{a} \\ $$$${student}\:{most}\:{answer}\:{to}\:\mathrm{3}\:{questions} \\ $$$${at}\:{least}? \\ $$$$\left.\mathrm{3}\right){How}\:{many}\:{choices}\:{is}\:{possible}\:{if}\:{a} \\ $$$${student}\:{most}\:{answer}\:{to}\:{at}\:{least}\:\mathrm{4} \\ $$$${questions}\:{of}\:\:{the}\:{five}\:{first}\:{questions}? \\ $$

Question Number 102241 Answers: 2 Comments: 3

Question Number 102234 Answers: 1 Comments: 0

Question Number 102233 Answers: 1 Comments: 0

Find the area under the curve y=(√(a^2 −x^2 )) included between the lines x=0 and x=4 plz help.....

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{area}\:\mathrm{under}\:\mathrm{the}\:\mathrm{curve}\:\mathrm{y}=\sqrt{\mathrm{a}^{\mathrm{2}} −\mathrm{x}^{\mathrm{2}} } \\ $$$$\mathrm{included}\:\mathrm{between}\:\mathrm{the}\:\mathrm{lines}\:\mathrm{x}=\mathrm{0}\:\mathrm{and}\:\mathrm{x}=\mathrm{4} \\ $$$$ \\ $$$$\mathrm{plz}\:\mathrm{help}..... \\ $$

Question Number 102231 Answers: 0 Comments: 3

Tutorial video for using shape and drawing tools

$$\mathrm{Tutorial}\:\mathrm{video}\:\mathrm{for}\:\mathrm{using}\:\mathrm{shape} \\ $$$$\mathrm{and}\:\mathrm{drawing}\:\mathrm{tools} \\ $$

Question Number 102204 Answers: 1 Comments: 4

New updates: ∙ You can save/load equation in a file and edit it again. This enables sharing of editable equation. ∙ New symbols added ∙ A few bug fixes. v2.093.

$$\mathrm{New}\:\mathrm{updates}: \\ $$$$\centerdot\:\mathrm{You}\:\mathrm{can}\:\mathrm{save}/\mathrm{load}\:\mathrm{equation}\:\mathrm{in}\:\mathrm{a}\:\mathrm{file} \\ $$$$\:\:\:\mathrm{and}\:\mathrm{edit}\:\mathrm{it}\:\mathrm{again}. \\ $$$$\:\:\:\mathrm{This}\:\mathrm{enables}\:\mathrm{sharing}\:\mathrm{of}\:\mathrm{editable} \\ $$$$\:\:\:\:\mathrm{equation}. \\ $$$$\centerdot\:\:\mathrm{New}\:\mathrm{symbols}\:\mathrm{added} \\ $$$$\centerdot\:\:\:\mathrm{A}\:\mathrm{few}\:\mathrm{bug}\:\mathrm{fixes}. \\ $$$$\mathrm{v2}.\mathrm{093}. \\ $$

Question Number 102201 Answers: 0 Comments: 0