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Question Number 180423 Answers: 2 Comments: 4

Question Number 180421 Answers: 2 Comments: 0

find the number of numbers less than 10^6 which contain at least 3 different digits.

$${find}\:{the}\:{number}\:{of}\:{numbers}\:{less}\:{than}\: \\ $$$$\mathrm{10}^{\mathrm{6}} \:{which}\:{contain}\:{at}\:{least}\:\mathrm{3}\:{different} \\ $$$${digits}. \\ $$

Question Number 180414 Answers: 1 Comments: 0

lim_(x→3) (((3^x −x^3 )/(x^x −3^3 ))) find the limit above

$$\mathrm{li}\underset{\mathrm{x}\rightarrow\mathrm{3}} {\mathrm{m}}\left(\frac{\mathrm{3}^{\mathrm{x}} −\mathrm{x}^{\mathrm{3}} }{\mathrm{x}^{\mathrm{x}} −\mathrm{3}^{\mathrm{3}} }\right) \\ $$$$ \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{limit}\:\mathrm{above} \\ $$

Question Number 180413 Answers: 2 Comments: 0

lim_(h→0) (((e^h −1)/h)) find the limit above

$$\mathrm{li}\underset{\mathrm{h}\rightarrow\mathrm{0}} {\mathrm{m}}\left(\frac{\mathrm{e}^{\mathrm{h}} −\mathrm{1}}{\mathrm{h}}\right) \\ $$$$ \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{limit}\:\mathrm{above} \\ $$

Question Number 180407 Answers: 2 Comments: 0

f(x−y)+f(x+y)=f(x)f(y) find f(x)

$${f}\left({x}−{y}\right)+{f}\left({x}+{y}\right)={f}\left({x}\right){f}\left({y}\right) \\ $$$$\mathrm{find}\:{f}\left({x}\right) \\ $$

Question Number 180405 Answers: 0 Comments: 0

Ω = ∫ ((ln (x+1))/(x^2 +x)) dx =?

$$\:\:\:\Omega\:=\:\int\:\frac{\mathrm{ln}\:\left(\mathrm{x}+\mathrm{1}\right)}{\mathrm{x}^{\mathrm{2}} +\mathrm{x}}\:\mathrm{dx}\:=? \\ $$

Question Number 180400 Answers: 2 Comments: 1

Area BEF=AreaCDF Prouve AD×BE=AE×CD

$$\mathrm{Area}\:\mathrm{BEF}=\mathrm{AreaCDF} \\ $$$$\mathrm{Prouve}\:\:\mathrm{AD}×\mathrm{BE}=\mathrm{AE}×\mathrm{CD} \\ $$

Question Number 180398 Answers: 1 Comments: 1

∫(1/(sin (x−a)sin (x−b)))dx=?

$$\int\frac{\mathrm{1}}{\mathrm{sin}\:\left(\mathrm{x}−\mathrm{a}\right)\mathrm{sin}\:\left(\mathrm{x}−\mathrm{b}\right)}\mathrm{dx}=? \\ $$$$ \\ $$

Question Number 180396 Answers: 0 Comments: 0

The difference between the ages of Sammy and Cindy is half the difference between the ages of their parents. Their father is 6 years older than twice the age of Cindy. Their mother is twice as old as Cindy and 12 years older than Sammy. By how many years is Sammy younger than Cindy?

$$\mathrm{The}\:\mathrm{difference}\:\mathrm{between}\:\mathrm{the}\:\mathrm{ages}\:\mathrm{of} \\ $$$$\mathrm{Sammy}\:\mathrm{and}\:\mathrm{Cindy}\:\mathrm{is}\:\mathrm{half}\:\mathrm{the}\: \\ $$$$\mathrm{difference}\:\mathrm{between}\:\mathrm{the}\:\mathrm{ages}\:\mathrm{of}\: \\ $$$$\mathrm{their}\:\mathrm{parents}.\:\mathrm{Their}\:\mathrm{father}\:\mathrm{is}\:\mathrm{6} \\ $$$$\mathrm{years}\:\mathrm{older}\:\mathrm{than}\:\mathrm{twice}\:\mathrm{the}\:\mathrm{age}\:\mathrm{of}\: \\ $$$$\mathrm{Cindy}.\:\mathrm{Their}\:\mathrm{mother}\:\mathrm{is}\:\mathrm{twice}\:\mathrm{as}\:\mathrm{old} \\ $$$$\mathrm{as}\:\mathrm{Cindy}\:\mathrm{and}\:\mathrm{12}\:\mathrm{years}\:\mathrm{older}\:\mathrm{than}\: \\ $$$$\mathrm{Sammy}.\:\mathrm{By}\:\mathrm{how}\:\mathrm{many}\:\mathrm{years}\:\mathrm{is}\: \\ $$$$\mathrm{Sammy}\:\mathrm{younger}\:\mathrm{than}\:\mathrm{Cindy}? \\ $$

Question Number 180391 Answers: 1 Comments: 1

y = x − (2/x) Find the set of values of the function.

$$\mathrm{y}\:=\:\mathrm{x}\:−\:\frac{\mathrm{2}}{\mathrm{x}} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{set}\:\mathrm{of}\:\mathrm{values}\:\mathrm{of}\:\mathrm{the}\:\mathrm{function}. \\ $$

Question Number 180388 Answers: 1 Comments: 0

Question Number 180381 Answers: 2 Comments: 0

(√((8^(12) +4^(13) )/(8^6 +4^(14) )))

$$\sqrt{\frac{\mathrm{8}^{\mathrm{12}} +\mathrm{4}^{\mathrm{13}} }{\mathrm{8}^{\mathrm{6}} +\mathrm{4}^{\mathrm{14}} }} \\ $$

Question Number 180379 Answers: 1 Comments: 0

∫ x^2 ((x^6 +5))^(1/6) dx =?

$$\:\:\:\:\int\:{x}^{\mathrm{2}} \:\sqrt[{\mathrm{6}}]{{x}^{\mathrm{6}} +\mathrm{5}}\:{dx}\:=? \\ $$

Question Number 180378 Answers: 1 Comments: 0

Question Number 180368 Answers: 2 Comments: 5

Question Number 180365 Answers: 1 Comments: 0

Question Number 180364 Answers: 1 Comments: 0

Question Number 180363 Answers: 1 Comments: 0

Question Number 180362 Answers: 0 Comments: 0

Question Number 180351 Answers: 0 Comments: 0

solve the differential equation y′′ +2 y′ + y = 0 using power series method that is, assume y = Σ_(n=0) ^∞ c_n x^n is a solution

$$\mathrm{solve}\:\mathrm{the}\:\mathrm{differential}\:\mathrm{equation}\:\:{y}''\:+\mathrm{2}\:{y}'\:+\:{y}\:=\:\mathrm{0} \\ $$$$\mathrm{using}\:\mathrm{power}\:\mathrm{series}\:\mathrm{method}\:\mathrm{that}\:\mathrm{is},\:\mathrm{assume} \\ $$$${y}\:=\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}{c}_{{n}} {x}^{{n}} \:\mathrm{is}\:\mathrm{a}\:\mathrm{solution} \\ $$

Question Number 180350 Answers: 1 Comments: 0

Question Number 180348 Answers: 0 Comments: 0

Question Number 180343 Answers: 1 Comments: 1

Question Number 180340 Answers: 1 Comments: 1

please answer this question i have no idea to post an image. it is sent by mistke.

$${please}\:{answer}\:{this}\:{question} \\ $$$${i}\:{have}\:{no}\:{idea}\:{to}\:{post}\:{an}\:{image}.\:{it}\:{is}\: \\ $$$${sent}\:{by}\:{mistke}. \\ $$

Question Number 180335 Answers: 2 Comments: 1

The integers between 1 to 10^4 contain exactly one 8 and one 9 is? I got 1160 but one is arguing 1154only..kindly help me out

$${The}\:{integers}\:{between}\:\mathrm{1}\:{to}\:\mathrm{10}^{\mathrm{4}} \\ $$$${contain}\:{exactly}\:{one}\:\mathrm{8}\:\:{and}\:{one}\:\mathrm{9} \\ $$$${is}?\:{I}\:{got}\:\mathrm{1160}\:{but}\:{one}\:\:{is}\:{arguing} \\ $$$$\mathrm{1154}{only}..{kindly}\:{help}\:{me}\:{out} \\ $$

Question Number 180301 Answers: 3 Comments: 1

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