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Question Number 97368 Answers: 3 Comments: 11

Question Number 97361 Answers: 1 Comments: 6

∫((xdx)/(sin^2 x−3))=?

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

Question Number 97355 Answers: 0 Comments: 1

Question Number 97353 Answers: 5 Comments: 0

Question Number 97346 Answers: 1 Comments: 0

Question Number 97335 Answers: 0 Comments: 2

Question Number 97323 Answers: 1 Comments: 0

Mr Peter has 4 children. x are in class C and y are in class D. x≥1 and y≥1. Show that the number of possibility to choose at random and simultaneous 2 children in same class verify this equation p(x)=x^2 −4x+6

$${Mr}\:{Peter}\:{has}\:\mathrm{4}\:{children}.\:{x}\:{are}\:{in}\: \\ $$$${class}\:{C}\:{and}\:{y}\:{are}\:{in}\:{class}\:{D}.\:{x}\geqslant\mathrm{1}\:{and} \\ $$$${y}\geqslant\mathrm{1}.\:{Show}\:{that}\:{the}\:{number}\:{of}\:{possibility}\: \\ $$$${to}\:{choose}\:{at}\:{random}\:{and}\:{simultaneous} \\ $$$$\mathrm{2}\:{children}\:{in}\:{same}\:{class}\:{verify}\:{this} \\ $$$${equation}\:{p}\left({x}\right)={x}^{\mathrm{2}} −\mathrm{4}{x}+\mathrm{6} \\ $$

Question Number 97322 Answers: 1 Comments: 0

∫sin^4 x∙cos^5 xdx=?

$$\int\mathrm{sin}\:^{\mathrm{4}} \mathrm{x}\centerdot\mathrm{cos}\:^{\mathrm{5}} \mathrm{xdx}=? \\ $$

Question Number 97319 Answers: 1 Comments: 0

If 5,6,11,17,28,45,73,x,y,z then the value of x,y,z?__ (a) 118,192,309 (b) 117,191,310 (c) 117,191,308 (d) 118,192,310 (e) 118,191,309

$$\mathrm{If}\:\mathrm{5},\mathrm{6},\mathrm{11},\mathrm{17},\mathrm{28},\mathrm{45},\mathrm{73},\mathrm{x},\mathrm{y},\mathrm{z} \\ $$$$\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x},\mathrm{y},\mathrm{z}?\_\_ \\ $$$$\left(\mathrm{a}\right)\:\mathrm{118},\mathrm{192},\mathrm{309} \\ $$$$\left(\mathrm{b}\right)\:\mathrm{117},\mathrm{191},\mathrm{310} \\ $$$$\left(\mathrm{c}\right)\:\mathrm{117},\mathrm{191},\mathrm{308} \\ $$$$\left(\mathrm{d}\right)\:\mathrm{118},\mathrm{192},\mathrm{310} \\ $$$$\left(\mathrm{e}\right)\:\mathrm{118},\mathrm{191},\mathrm{309} \\ $$

Question Number 97314 Answers: 0 Comments: 0

Question Number 97307 Answers: 2 Comments: 2

Question Number 97306 Answers: 0 Comments: 2

if sin14=x then cos^2 22−cos^2 8=?

$$\mathrm{if}\:\:\:\:\:\:\:\:\:\mathrm{sin14}=\mathrm{x} \\ $$$$\mathrm{then} \\ $$$$\mathrm{cos}^{\mathrm{2}} \mathrm{22}−\mathrm{cos}^{\mathrm{2}} \mathrm{8}=? \\ $$

Question Number 97305 Answers: 1 Comments: 0

Question Number 97303 Answers: 0 Comments: 0

Given x_1 +x_2 +x_3 = 0 , y_1 + y_2 +y_3 = 0 and x_1 y_1 + x_2 y_2 + x_3 y_3 = 0 . The value of (x_1 ^2 /(x_1 ^2 +x_2 ^2 +x_3 ^2 )) + (y_1 ^2 /(y_1 ^2 +y_2 ^2 +y_3 ^2 )) = ?

$$\boldsymbol{\mathrm{G}}\mathrm{iven}\:\mathrm{x}_{\mathrm{1}} +\mathrm{x}_{\mathrm{2}} +\mathrm{x}_{\mathrm{3}} \:=\:\mathrm{0}\:,\:\mathrm{y}_{\mathrm{1}} \:+\:\mathrm{y}_{\mathrm{2}} +\mathrm{y}_{\mathrm{3}} \:=\:\mathrm{0} \\ $$$$\mathrm{and}\:\mathrm{x}_{\mathrm{1}} \mathrm{y}_{\mathrm{1}} +\:\mathrm{x}_{\mathrm{2}} \mathrm{y}_{\mathrm{2}} \:+\:\mathrm{x}_{\mathrm{3}} \mathrm{y}_{\mathrm{3}} \:=\:\mathrm{0}\:.\:\mathrm{The}\:\mathrm{value} \\ $$$$\mathrm{of}\:\frac{\mathrm{x}_{\mathrm{1}} ^{\mathrm{2}} }{\mathrm{x}_{\mathrm{1}} ^{\mathrm{2}} +\mathrm{x}_{\mathrm{2}} ^{\mathrm{2}} +\mathrm{x}_{\mathrm{3}} ^{\mathrm{2}} }\:+\:\frac{\mathrm{y}_{\mathrm{1}} ^{\mathrm{2}} }{\mathrm{y}_{\mathrm{1}} ^{\mathrm{2}} \:+\mathrm{y}_{\mathrm{2}} ^{\mathrm{2}} \:+\mathrm{y}_{\mathrm{3}} ^{\mathrm{2}} }\:=\:?\: \\ $$

Question Number 97283 Answers: 0 Comments: 0

Question Number 97275 Answers: 1 Comments: 14

Trial version with additional colors is now available.

$$\mathrm{Trial}\:\mathrm{version}\:\mathrm{with}\:\mathrm{additional} \\ $$$$\mathrm{colors}\:\mathrm{is}\:\mathrm{now}\:\mathrm{available}. \\ $$

Question Number 97272 Answers: 0 Comments: 0

Question Number 97271 Answers: 1 Comments: 2

hello every one why do planets of the solar system revolve around the sun in an eliptical not circular orbit

$${hello}\:{every}\:{one} \\ $$$${why}\:{do}\:{planets}\:{of}\:{the}\:{solar}\:{system} \\ $$$${revolve}\:{around}\:{the}\:{sun}\:{in}\:{an}\:{eliptical} \\ $$$${not}\:{circular}\:{orbit} \\ $$

Question Number 97270 Answers: 1 Comments: 3

solve for all real value of x,y and z giving answer the form (x,y,z) { ((x(x+y)+z(x−y)= 4)),((y(y+z)+x(y−z) = −4)),((z(z+x)+y(z−x) = 5)) :}

$$\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{all}}\:\boldsymbol{\mathrm{real}}\:\:\boldsymbol{\mathrm{value}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{x}},\boldsymbol{\mathrm{y}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{z}}\:\boldsymbol{\mathrm{giving}} \\ $$$$\boldsymbol{\mathrm{answer}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{form}}\:\left(\boldsymbol{\mathrm{x}},\boldsymbol{\mathrm{y}},\boldsymbol{\mathrm{z}}\right)\:\begin{cases}{\boldsymbol{\mathrm{x}}\left(\boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{y}}\right)+\boldsymbol{\mathrm{z}}\left(\boldsymbol{\mathrm{x}}−\boldsymbol{\mathrm{y}}\right)=\:\mathrm{4}}\\{\boldsymbol{\mathrm{y}}\left(\boldsymbol{\mathrm{y}}+\boldsymbol{\mathrm{z}}\right)+\boldsymbol{\mathrm{x}}\left(\boldsymbol{\mathrm{y}}−\boldsymbol{\mathrm{z}}\right)\:=\:−\mathrm{4}}\\{\boldsymbol{\mathrm{z}}\left(\boldsymbol{\mathrm{z}}+\boldsymbol{\mathrm{x}}\right)+\boldsymbol{\mathrm{y}}\left(\boldsymbol{\mathrm{z}}−\boldsymbol{\mathrm{x}}\right)\:=\:\mathrm{5}}\end{cases} \\ $$

Question Number 97250 Answers: 1 Comments: 0

Question Number 97239 Answers: 0 Comments: 3

∫ ((sec^3 x dx)/(√(tan x))) ?

$$\int\:\frac{\mathrm{sec}\:^{\mathrm{3}} {x}\:{dx}}{\sqrt{\mathrm{tan}\:{x}}}\:?\: \\ $$

Question Number 97238 Answers: 0 Comments: 1

Question Number 97236 Answers: 3 Comments: 3

Question Number 97235 Answers: 1 Comments: 0

∫_0 ^1 ln(x) ln(1−x) dx ?

$$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\mathrm{ln}\left(\mathrm{x}\right)\:\mathrm{ln}\left(\mathrm{1}−\mathrm{x}\right)\:\mathrm{dx}\:?\: \\ $$

Question Number 97231 Answers: 0 Comments: 0

developp at fourier serie f(x) =(1/(cos^2 x −3cosx +2))

$$\mathrm{developp}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{serie}\:\mathrm{f}\left(\mathrm{x}\right)\:=\frac{\mathrm{1}}{\mathrm{cos}^{\mathrm{2}} \mathrm{x}\:−\mathrm{3cosx}\:+\mathrm{2}} \\ $$

Question Number 97230 Answers: 2 Comments: 0

1) developp at fourier serie f(x)=ln(sinx) 2) developp at fourier serie g(x)=ln(cosx +sinx) 3)developp at fourier seri e h(x) =ln(cosx +2sinx)

$$\left.\mathrm{1}\right)\:\mathrm{developp}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{serie}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{ln}\left(\mathrm{sinx}\right) \\ $$$$\left.\mathrm{2}\right)\:\mathrm{developp}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{serie}\:\mathrm{g}\left(\mathrm{x}\right)=\mathrm{ln}\left(\mathrm{cosx}\:+\mathrm{sinx}\right) \\ $$$$\left.\mathrm{3}\right)\mathrm{developp}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{seri}\:\mathrm{e}\:\mathrm{h}\left(\mathrm{x}\right)\:=\mathrm{ln}\left(\mathrm{cosx}\:+\mathrm{2sinx}\right) \\ $$

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