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Question Number 105327    Answers: 2   Comments: 3

If x = ((11)/8) and y = ((66)/9) then what is the answer of ((x+y)/(x−y)) ?

$$\mathrm{If}\:\mathrm{x}\:=\:\frac{\mathrm{11}}{\mathrm{8}}\:\mathrm{and}\:\mathrm{y}\:=\:\frac{\mathrm{66}}{\mathrm{9}}\:\mathrm{then}\:\mathrm{what}\:\mathrm{is} \\ $$$$\mathrm{the}\:\mathrm{answer}\:\mathrm{of}\:\frac{\mathrm{x}+\mathrm{y}}{\mathrm{x}−\mathrm{y}}\:?\: \\ $$

Question Number 105322    Answers: 0   Comments: 1

Question Number 105320    Answers: 0   Comments: 0

find C kx^2 +ky^2 +z^2 ≥C x,y,z,k∈R such that xy+yz+zx=1

$$\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{C}} \\ $$$${kx}^{\mathrm{2}} +{ky}^{\mathrm{2}} +{z}^{\mathrm{2}} \geqslant{C} \\ $$$${x},{y},{z},{k}\in\mathbb{R}\:\:{such}\:{that} \\ $$$${xy}+{yz}+{zx}=\mathrm{1} \\ $$

Question Number 105234    Answers: 0   Comments: 0

f:R→R x,y∈R f(f(x)f(y))+f(x+y)=f(xy) f(x)=?

$${f}:\mathbb{R}\rightarrow\mathbb{R}\:\:{x},{y}\in\mathbb{R} \\ $$$${f}\left({f}\left({x}\right){f}\left({y}\right)\right)+{f}\left({x}+{y}\right)={f}\left({xy}\right) \\ $$$${f}\left({x}\right)=? \\ $$

Question Number 105233    Answers: 0   Comments: 0

calculate ∫_0 ^∞ ((ch(cosx)−cos(chx))/(x^2 +3))dx

$$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{ch}\left(\mathrm{cosx}\right)−\mathrm{cos}\left(\mathrm{chx}\right)}{\mathrm{x}^{\mathrm{2}} \:+\mathrm{3}}\mathrm{dx} \\ $$

Question Number 105232    Answers: 1   Comments: 0

calculate ∫_0 ^∞ ((cos(2x^2 ))/((4x^2 +9)^3 ))dx

$$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{cos}\left(\mathrm{2x}^{\mathrm{2}} \right)}{\left(\mathrm{4x}^{\mathrm{2}} \:+\mathrm{9}\right)^{\mathrm{3}} }\mathrm{dx} \\ $$

Question Number 105231    Answers: 1   Comments: 0

calculate ∫_0 ^(+∞) ((2x^2 −1)/((x^2 +x+1)^2 (x^2 −x+1)^2 ))dx

$$\mathrm{calculate}\:\int_{\mathrm{0}} ^{+\infty} \:\frac{\mathrm{2x}^{\mathrm{2}} −\mathrm{1}}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{x}^{\mathrm{2}} −\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} }\mathrm{dx} \\ $$

Question Number 105230    Answers: 2   Comments: 0

calculate ∫_1 ^(+∞) (dx/((x^2 +1)^2 (x^2 +4)^2 ))

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

Question Number 105243    Answers: 2   Comments: 0

{ ((sin 2x + sin 2y = (4/9))),((cos (x−y) = 1−sin (x+y))) :} 0 < x < (π/2) ; 0 < y < (π/2) find the value of sin (x+y) (a) −(2/3) (b) −(1/3) (c) (1/9) (d) (2/9) (e) (2/3)

$$\begin{cases}{\mathrm{sin}\:\mathrm{2}{x}\:+\:\mathrm{sin}\:\mathrm{2}{y}\:=\:\frac{\mathrm{4}}{\mathrm{9}}}\\{\mathrm{cos}\:\left({x}−{y}\right)\:=\:\mathrm{1}−\mathrm{sin}\:\left({x}+{y}\right)}\end{cases} \\ $$$$\mathrm{0}\:<\:{x}\:<\:\frac{\pi}{\mathrm{2}}\:;\:\mathrm{0}\:<\:{y}\:<\:\frac{\pi}{\mathrm{2}} \\ $$$${find}\:{the}\:{value}\:{of}\:\mathrm{sin}\:\left({x}+{y}\right) \\ $$$$\left({a}\right)\:−\frac{\mathrm{2}}{\mathrm{3}}\:\:\:\left({b}\right)\:−\frac{\mathrm{1}}{\mathrm{3}}\:\:\:\left({c}\right)\:\frac{\mathrm{1}}{\mathrm{9}} \\ $$$$\left({d}\right)\:\frac{\mathrm{2}}{\mathrm{9}}\:\:\:\:\left({e}\right)\:\frac{\mathrm{2}}{\mathrm{3}} \\ $$

Question Number 105242    Answers: 0   Comments: 0

Question Number 105222    Answers: 0   Comments: 0

Question Number 105735    Answers: 2   Comments: 1

What is the cubic polynomial for y(0)=1; y(1)=0 ; y(2)=1 and y(3)=10

$${What}\:{is}\:{the}\:{cubic}\:{polynomial}\:{for}\:{y}\left(\mathrm{0}\right)=\mathrm{1}; \\ $$$${y}\left(\mathrm{1}\right)=\mathrm{0}\:;\:{y}\left(\mathrm{2}\right)=\mathrm{1}\:{and}\:{y}\left(\mathrm{3}\right)=\mathrm{10}\: \\ $$

Question Number 105207    Answers: 1   Comments: 3

99−98((98)/(99)) = ? Can you solve this?

$$\mathrm{99}−\mathrm{98}\frac{\mathrm{98}}{\mathrm{99}}\:=\:? \\ $$$$\boldsymbol{{Can}}\:\boldsymbol{{you}}\:\boldsymbol{{solve}}\:\boldsymbol{{this}}? \\ $$

Question Number 105266    Answers: 9   Comments: 0

Question Number 105265    Answers: 3   Comments: 0

Question Number 105205    Answers: 1   Comments: 2

Question Number 105273    Answers: 1   Comments: 1

Question Number 105278    Answers: 1   Comments: 1

(1−(1/1))(1−(1/2))(1−(1/3)).....(1−(1/(100)))=?

$$\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{1}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{2}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{3}}\right).....\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{100}}\right)=? \\ $$

Question Number 105200    Answers: 0   Comments: 0

Question Number 105195    Answers: 2   Comments: 0

Question Number 105189    Answers: 0   Comments: 2

Question Number 105181    Answers: 1   Comments: 0

graph the function x^2 +(y−(x^2 )^(1/3) )^2 =1

$${graph}\:{the}\:{function}\:{x}^{\mathrm{2}} +\left({y}−\sqrt[{\mathrm{3}}]{{x}^{\mathrm{2}} }\right)^{\mathrm{2}} =\mathrm{1} \\ $$

Question Number 105235    Answers: 1   Comments: 0

(x−2)^(log _2 (x^2 −5x+5)) > (x−2)^(log _2 (x−3))

$$\left({x}−\mathrm{2}\right)^{\mathrm{log}\:_{\mathrm{2}} \left({x}^{\mathrm{2}} −\mathrm{5}{x}+\mathrm{5}\right)} \:>\:\left({x}−\mathrm{2}\right)^{\mathrm{log}\:_{\mathrm{2}} \left({x}−\mathrm{3}\right)} \\ $$

Question Number 142176    Answers: 1   Comments: 0

∫ e^(ax) sin bx dx = ?

$$\int\:{e}^{{ax}} \:{sin}\:{bx}\:{dx}\:=\:? \\ $$

Question Number 105167    Answers: 1   Comments: 1

Question Number 105163    Answers: 2   Comments: 0

x^2 y′′+xy′−y=(1/(1+x^2 ))

$${x}^{\mathrm{2}} {y}''+{xy}'−{y}=\frac{\mathrm{1}}{\mathrm{1}+{x}^{\mathrm{2}} } \\ $$

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