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AllQuestion and Answers: Page 1211

Question Number 90918 Answers: 0 Comments: 1

do you all get notifications when your posts get updated? i don′t get any notification. so i don′t know if a post of mine is updated or not, very uncomfortable.

$${do}\:{you}\:{all}\:{get}\:{notifications}\:{when} \\ $$$${your}\:{posts}\:{get}\:{updated}? \\ $$$${i}\:{don}'{t}\:{get}\:{any}\:{notification}.\:{so}\:{i}\:{don}'{t} \\ $$$${know}\:{if}\:{a}\:{post}\:{of}\:{mine}\:{is}\:{updated}\:{or} \\ $$$${not},\:{very}\:{uncomfortable}. \\ $$

Question Number 90916 Answers: 0 Comments: 0

Question Number 90914 Answers: 0 Comments: 2

Question Number 90911 Answers: 0 Comments: 3

Question Number 90886 Answers: 1 Comments: 0

(dy/dx) −((4y)/x) = 1+(2/x)

$$\frac{{dy}}{{dx}}\:−\frac{\mathrm{4}{y}}{{x}}\:=\:\mathrm{1}+\frac{\mathrm{2}}{{x}} \\ $$

Question Number 90881 Answers: 2 Comments: 6

if the value of x is in degrees what is the derivative of f(x)=sin(x)

$${if}\:{the}\:{value}\:{of}\:{x}\:{is}\:{in}\:{degrees}\:{what}\:{is} \\ $$$${the}\:{derivative}\:{of}\:\:\:{f}\left({x}\right)={sin}\left({x}\right) \\ $$

Question Number 90876 Answers: 0 Comments: 2

((2cos ((π/9))))^(1/(3 )) −((2cos (((2π)/9))))^(1/(3 )) −((2cos (((4π)/9))))^(1/(3 )) = ?

$$\sqrt[{\mathrm{3}\:\:}]{\mathrm{2cos}\:\left(\frac{\pi}{\mathrm{9}}\right)}−\sqrt[{\mathrm{3}\:\:}]{\mathrm{2cos}\:\left(\frac{\mathrm{2}\pi}{\mathrm{9}}\right)}−\sqrt[{\mathrm{3}\:\:}]{\mathrm{2cos}\:\left(\frac{\mathrm{4}\pi}{\mathrm{9}}\right)}\:=\:? \\ $$

Question Number 90904 Answers: 1 Comments: 1

Question Number 90851 Answers: 1 Comments: 0

x (dy/dx) = y + 3x^4 cos^2 ((y/x))

$${x}\:\frac{{dy}}{{dx}}\:=\:{y}\:+\:\mathrm{3}{x}^{\mathrm{4}} \:\mathrm{cos}\:^{\mathrm{2}} \left(\frac{{y}}{{x}}\right)\: \\ $$

Question Number 90842 Answers: 3 Comments: 4

x^2 −(y−z)^2 = 3 y^2 − (z−x)^2 = 5 z^2 − (x−y)^2 = 12

$${x}^{\mathrm{2}} −\left({y}−{z}\right)^{\mathrm{2}} \:=\:\mathrm{3} \\ $$$${y}^{\mathrm{2}} \:−\:\left({z}−{x}\right)^{\mathrm{2}} \:=\:\mathrm{5} \\ $$$${z}^{\mathrm{2}} \:−\:\left({x}−{y}\right)^{\mathrm{2}} \:=\:\mathrm{12} \\ $$

Question Number 90863 Answers: 2 Comments: 0

(dy/dx)−a((y/x))=1+(1/x)

$$\frac{{dy}}{{dx}}−{a}\left(\frac{{y}}{{x}}\right)=\mathrm{1}+\frac{\mathrm{1}}{{x}} \\ $$

Question Number 91004 Answers: 0 Comments: 3

∫ tan (arc sin x) dx

$$\int\:\mathrm{tan}\:\left({arc}\:\mathrm{sin}\:{x}\right)\:{dx} \\ $$

Question Number 90819 Answers: 2 Comments: 2

Question Number 90812 Answers: 0 Comments: 0

Question Number 90810 Answers: 1 Comments: 2

(dy/dx) = ((2x^2 +y^2 )/(3x^2 +2xy))

$$\frac{{dy}}{{dx}}\:=\:\frac{\mathrm{2}{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }{\mathrm{3}{x}^{\mathrm{2}} +\mathrm{2}{xy}}\: \\ $$

Question Number 90806 Answers: 0 Comments: 1

log_((x+4)) (x^2 −8x+12) < (1/2)log_(∣x−2∣) (2−x)^2

$$\mathrm{log}_{\left({x}+\mathrm{4}\right)} \left({x}^{\mathrm{2}} −\mathrm{8}{x}+\mathrm{12}\right)\:<\:\frac{\mathrm{1}}{\mathrm{2}}\mathrm{log}_{\mid{x}−\mathrm{2}\mid} \left(\mathrm{2}−{x}\right)^{\mathrm{2}} \\ $$

Question Number 90803 Answers: 0 Comments: 0

U=ax−bx^c +dy is subject to I=mx+ny. What happens to the maximum point of x, when a increases? Explain your answer. (Use Lagrange method)

$${U}={ax}−{bx}^{{c}} +{dy}\:\mathrm{is}\:\mathrm{subject}\:\mathrm{to}\:\mathrm{I}={mx}+{ny}. \\ $$$$ \\ $$$$\mathrm{What}\:\mathrm{happens}\:\mathrm{to}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{point}\:\mathrm{of}\:\boldsymbol{{x}}, \\ $$$${when}\:\boldsymbol{{a}}\:\mathrm{increases}?\:\mathrm{Explain}\:\mathrm{your}\:\mathrm{answer}. \\ $$$$ \\ $$$$\left(\mathrm{Use}\:\mathrm{Lagrange}\:\mathrm{method}\right) \\ $$

Question Number 90802 Answers: 0 Comments: 2

1) ∫_(ln 2) ^∞ (1/(√(e^x −1))) dx 2) ∫_(ln 2) ^∞ (1/(e^x −1)) dx

$$\left.\mathrm{1}\right)\:\underset{\mathrm{ln}\:\mathrm{2}} {\overset{\infty} {\int}}\:\frac{\mathrm{1}}{\sqrt{\mathrm{e}^{{x}} −\mathrm{1}}}\:{dx}\: \\ $$$$\left.\mathrm{2}\right)\:\underset{\mathrm{ln}\:\mathrm{2}} {\overset{\infty} {\int}}\:\frac{\mathrm{1}}{{e}^{{x}} −\mathrm{1}}\:{dx}\: \\ $$

Question Number 90801 Answers: 0 Comments: 3

what are the next two number of this series 4,7,9,2,5,6,3,8 ?

$${what}\:{are}\:{the}\:{next}\:{two}\:{number}\: \\ $$$${of}\:{this}\:{series}\:\mathrm{4},\mathrm{7},\mathrm{9},\mathrm{2},\mathrm{5},\mathrm{6},\mathrm{3},\mathrm{8}\:? \\ $$

Question Number 90796 Answers: 2 Comments: 3

∫_0 ^(√3) (1/(1+x^2 ))sin^(−1) (((2x)/(1+x^2 )))dx

$$\int_{\mathrm{0}} ^{\sqrt{\mathrm{3}}} \frac{\mathrm{1}}{\mathrm{1}+{x}^{\mathrm{2}} }{sin}^{−\mathrm{1}} \left(\frac{\mathrm{2}{x}}{\mathrm{1}+{x}^{\mathrm{2}} }\right){dx} \\ $$

Question Number 90793 Answers: 1 Comments: 4

a+b+c+d=4 a^2 +b^2 +c^2 +d^2 =10 a^3 +b^3 +c^3 +d^3 =22 a^4 +b^4 +c^4 +d^4 = ?

$${a}+{b}+{c}+{d}=\mathrm{4} \\ $$$${a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} +{d}^{\mathrm{2}} =\mathrm{10} \\ $$$${a}^{\mathrm{3}} +{b}^{\mathrm{3}} +{c}^{\mathrm{3}} +{d}^{\mathrm{3}} =\mathrm{22} \\ $$$${a}^{\mathrm{4}} +{b}^{\mathrm{4}} +{c}^{\mathrm{4}} +{d}^{\mathrm{4}} =\:? \\ $$

Question Number 90788 Answers: 0 Comments: 1

lim_(x→−∞) (((x+2)/(x+1)))^(x/2)

$$\underset{{x}\rightarrow−\infty} {\mathrm{lim}}\:\left(\frac{{x}+\mathrm{2}}{{x}+\mathrm{1}}\right)^{\frac{{x}}{\mathrm{2}}} \\ $$

Question Number 90787 Answers: 1 Comments: 3

Find the infinite sum Σ_(n=1) ^∞ (1/((2n−1)(2n+1)(2n+3)))

$${Find}\:{the}\:{infinite}\:{sum} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\left(\mathrm{2}{n}−\mathrm{1}\right)\left(\mathrm{2}{n}+\mathrm{1}\right)\left(\mathrm{2}{n}+\mathrm{3}\right)} \\ $$

Question Number 90784 Answers: 0 Comments: 2

∫_0 ^2 (√((4−x)/x))−(√(x/(4−x))) dx ?

$$\underset{\mathrm{0}} {\overset{\mathrm{2}} {\int}}\:\sqrt{\frac{\mathrm{4}−{x}}{{x}}}−\sqrt{\frac{{x}}{\mathrm{4}−{x}}}\:{dx}\:? \\ $$

Question Number 90783 Answers: 0 Comments: 1

can inflection point be a max or min ?

$${can}\:{inflection}\:{point}\: \\ $$$${be}\:{a}\:{max}\:{or}\:{min}\:?\: \\ $$

Question Number 90777 Answers: 0 Comments: 0

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