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AllQuestion and Answers: Page 1147

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

Question Number 102198    Answers: 2   Comments: 0

∫(x/(sin^2 x−3))dx=?

$$\int\frac{{x}}{{sin}^{\mathrm{2}} {x}−\mathrm{3}}{dx}=? \\ $$

Question Number 102195    Answers: 2   Comments: 0

∫sinx d(sinx)=?

$$\int{sinx}\:{d}\left({sinx}\right)=? \\ $$

Question Number 102194    Answers: 0   Comments: 3

Question Number 102190    Answers: 2   Comments: 0

Find the value of x ∙∙[Trigonometric Subs.] x−(x/(√(1−x^2 )))=((91)/(60))

$${Find}\:{the}\:{value}\:{of}\:\:{x}\:\centerdot\centerdot\left[{Trigonometric}\:{Subs}.\right] \\ $$$${x}−\frac{{x}}{\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}=\frac{\mathrm{91}}{\mathrm{60}} \\ $$

Question Number 102186    Answers: 0   Comments: 0

Question Number 102179    Answers: 1   Comments: 0

Question Number 102178    Answers: 1   Comments: 0

Question Number 102177    Answers: 1   Comments: 2

Question Number 102169    Answers: 5   Comments: 0

∫_0 ^1 x^(3/2) (√(1−x)) dx ?

$$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}{x}^{\mathrm{3}/\mathrm{2}} \:\sqrt{\mathrm{1}−{x}}\:{dx}\:? \\ $$

Question Number 102165    Answers: 2   Comments: 0

calculate ∫_(−∞) ^∞ ((x^2 dx)/((x^2 −x+1)^3 ))

$$\mathrm{calculate}\:\int_{−\infty} ^{\infty} \:\:\frac{\mathrm{x}^{\mathrm{2}} \mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{x}+\mathrm{1}\right)^{\mathrm{3}} } \\ $$

Question Number 102164    Answers: 1   Comments: 0

solve y^(′′) −y^′ +3y = e^(−x) sin(2x)

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

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