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Question Number 81647    Answers: 0   Comments: 8

how to prove that the number is divisible by 3, then the number of numbers is a multiple of 3

$$\mathrm{how}\:\mathrm{to}\:\mathrm{prove}\:\mathrm{that}\:\mathrm{the}\:\mathrm{number}\: \\ $$$$\mathrm{is}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{3},\:\mathrm{then}\:\mathrm{the}\:\mathrm{number} \\ $$$$\mathrm{of}\:\mathrm{numbers}\:\mathrm{is}\:\mathrm{a}\:\mathrm{multiple}\:\mathrm{of}\:\mathrm{3} \\ $$

Question Number 81598    Answers: 0   Comments: 5

fog(x)=8x+3 g(x)=2x−1 f(x)=.....? gof(x)=6x+1 g(x)=5x+1 f(x)=.....? gof(x)=7x+9 f(x)=5x+2 g(x)=.....? f(x)=3x−8 gof(x)=8x+3 g(x)=.....? gof(x)=5x+1 f(x)=3x g(x)=....?

$$\mathrm{fog}\left(\mathrm{x}\right)=\mathrm{8x}+\mathrm{3} \\ $$$$\mathrm{g}\left(\mathrm{x}\right)=\mathrm{2x}−\mathrm{1} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=.....? \\ $$$$ \\ $$$$\mathrm{gof}\left(\mathrm{x}\right)=\mathrm{6x}+\mathrm{1} \\ $$$$\mathrm{g}\left(\mathrm{x}\right)=\mathrm{5x}+\mathrm{1} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=.....? \\ $$$$ \\ $$$$\mathrm{gof}\left(\mathrm{x}\right)=\mathrm{7x}+\mathrm{9} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{5x}+\mathrm{2} \\ $$$$\mathrm{g}\left(\mathrm{x}\right)=.....? \\ $$$$ \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{3x}−\mathrm{8} \\ $$$$\mathrm{gof}\left(\mathrm{x}\right)=\mathrm{8x}+\mathrm{3} \\ $$$$\mathrm{g}\left(\mathrm{x}\right)=.....? \\ $$$$ \\ $$$$\mathrm{gof}\left(\mathrm{x}\right)=\mathrm{5x}+\mathrm{1} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{3x} \\ $$$$\mathrm{g}\left(\mathrm{x}\right)=....? \\ $$$$ \\ $$

Question Number 81597    Answers: 0   Comments: 2

fog(x)=5x+6 f(x)=2x+1 g(x)=.....?

$$\mathrm{fog}\left(\mathrm{x}\right)=\mathrm{5x}+\mathrm{6} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{2x}+\mathrm{1} \\ $$$$\mathrm{g}\left(\mathrm{x}\right)=.....? \\ $$

Question Number 81596    Answers: 0   Comments: 2

f(x)=3x+1 , g(x)=2x+3 a). fog(x)=.... b). gof(x)=....

$$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{3x}+\mathrm{1}\:,\:\:\mathrm{g}\left(\mathrm{x}\right)=\mathrm{2x}+\mathrm{3} \\ $$$$\left.\mathrm{a}\right).\:\mathrm{fog}\left(\mathrm{x}\right)=.... \\ $$$$\left.\mathrm{b}\right).\:\mathrm{gof}\left(\mathrm{x}\right)=.... \\ $$

Question Number 81552    Answers: 0   Comments: 3

Question Number 81523    Answers: 0   Comments: 2

Question Number 81519    Answers: 1   Comments: 4

∣∣∣x∣−3∣−2∣=1 solve for real x.

$$\mid\mid\mid{x}\mid−\mathrm{3}\mid−\mathrm{2}\mid=\mathrm{1} \\ $$$${solve}\:{for}\:{real}\:{x}. \\ $$

Question Number 81507    Answers: 0   Comments: 1

Question Number 81506    Answers: 0   Comments: 4

Question Number 81445    Answers: 0   Comments: 0

Question Number 81369    Answers: 2   Comments: 7

Question Number 81301    Answers: 0   Comments: 2

Question Number 81242    Answers: 1   Comments: 3

Question Number 81251    Answers: 1   Comments: 7

Question Number 81206    Answers: 1   Comments: 1

Question Number 81223    Answers: 1   Comments: 0

x(3^x +2)=3(1−3^x )−x^2

$${x}\left(\mathrm{3}^{{x}} +\mathrm{2}\right)=\mathrm{3}\left(\mathrm{1}−\mathrm{3}^{{x}} \right)−{x}^{\mathrm{2}} \\ $$

Question Number 81139    Answers: 1   Comments: 6

Question Number 81054    Answers: 0   Comments: 2

solve the differential equation (a)(d^2 y/dx^2 )=sin^2 (x+y) (b)(d^2 y/dx^2 )=cos (x+y)

$${solve}\:{the}\:{differential} \\ $$$${equation} \\ $$$$\left({a}\right)\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }=\mathrm{sin}\:^{\mathrm{2}} \left({x}+{y}\right) \\ $$$$\left({b}\right)\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }=\mathrm{cos}\:\left({x}+{y}\right) \\ $$

Question Number 81010    Answers: 0   Comments: 4

show that (cosθ−i sinθ)^n =(cosnθ−i sinθ)

$${show}\:{that} \\ $$$$\left({cos}\theta−{i}\:{sin}\theta\right)^{{n}} =\left({cosn}\theta−{i}\:{sin}\theta\right) \\ $$

Question Number 80982    Answers: 0   Comments: 3

Question Number 80930    Answers: 0   Comments: 3

Question Number 80927    Answers: 1   Comments: 2

Question Number 80912    Answers: 0   Comments: 2

Question Number 80907    Answers: 1   Comments: 0

a)∫e^x tan xdx b)∫xtan xdx

$$\left.{a}\right)\int{e}^{{x}} \mathrm{tan}\:{xdx} \\ $$$$\left.{b}\right)\int{x}\mathrm{tan}\:{xdx} \\ $$

Question Number 80889    Answers: 0   Comments: 3

find Z if arg(z−3)=π and arg(z+i)=(π/4)

$${find}\:{Z} \\ $$$${if}\:{arg}\left(\mathrm{z}−\mathrm{3}\right)=\pi \\ $$$${and}\:{arg}\left(\mathrm{z}+\mathrm{i}\right)=\frac{\pi}{\mathrm{4}} \\ $$

Question Number 80881    Answers: 1   Comments: 0

v=−(((2b+3cp)p)/(3+bp^2 )) ((3v^2 +2bpv+3cp+b)/(1+bp^2 +cp^3 )) > 0 b,c ∈ R , b<0 Any non-zero real value of p in terms of b,c obeying above condition?

$${v}=−\frac{\left(\mathrm{2}{b}+\mathrm{3}{cp}\right){p}}{\mathrm{3}+{bp}^{\mathrm{2}} } \\ $$$$\:\frac{\mathrm{3}{v}^{\mathrm{2}} +\mathrm{2}{bpv}+\mathrm{3}{cp}+{b}}{\mathrm{1}+{bp}^{\mathrm{2}} +{cp}^{\mathrm{3}} }\:>\:\mathrm{0}\:\: \\ $$$${b},{c}\:\in\:\mathbb{R}\:,\:{b}<\mathrm{0} \\ $$$${Any}\:{non}-{zero}\:{real}\:{value}\:{of}\:{p} \\ $$$${in}\:{terms}\:{of}\:{b},{c}\:\:{obeying}\:{above} \\ $$$${condition}? \\ $$

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