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Question Number 96131 Answers: 1 Comments: 0

(((x+4)^2 ))^(1/(3 )) + 4 (((x−3)^2 ))^(1/(3 )) + 5 ((x^2 +x−12))^(1/(3 )) = 0

$$\sqrt[{\mathrm{3}\:\:}]{\left({x}+\mathrm{4}\right)^{\mathrm{2}} }\:+\:\mathrm{4}\:\sqrt[{\mathrm{3}\:\:}]{\left({x}−\mathrm{3}\right)^{\mathrm{2}} }\:+\:\mathrm{5}\:\sqrt[{\mathrm{3}\:\:}]{{x}^{\mathrm{2}} +{x}−\mathrm{12}}\:=\:\mathrm{0} \\ $$

Question Number 96125 Answers: 1 Comments: 0

4x^2 y′′ +12xy′ + 3y = 0

$$\mathrm{4x}^{\mathrm{2}} \mathrm{y}''\:+\mathrm{12xy}'\:+\:\mathrm{3y}\:=\:\mathrm{0} \\ $$

Question Number 96117 Answers: 2 Comments: 0

(1−2xy) dx + (4y^3 −x^2 ) dy = 0

$$\left(\mathrm{1}−\mathrm{2}{xy}\right)\:{dx}\:+\:\left(\mathrm{4}{y}^{\mathrm{3}} −{x}^{\mathrm{2}} \right)\:{dy}\:=\:\mathrm{0}\: \\ $$

Question Number 96108 Answers: 0 Comments: 0

are the system (z,+,≤)is orderd integral domain ?

$${are}\:{the}\:{system}\:\left({z},+,\leqslant\right){is}\:{orderd}\:{integral}\:{domain}\:? \\ $$

Question Number 96106 Answers: 0 Comments: 1

Question Number 96097 Answers: 1 Comments: 0

Question Number 96092 Answers: 0 Comments: 4

find ∫(dx/(tan^(−1) (x)))

$${find}\:\int\frac{{dx}}{{tan}^{−\mathrm{1}} \left({x}\right)} \\ $$

Question Number 97266 Answers: 2 Comments: 1

If x &y satisfy the equation x^2 +y^2 −4x−6y−1 =0 find minimum value of x+y ?

$$\mathrm{If}\:\mathrm{x}\:\&\mathrm{y}\:\mathrm{satisfy}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} −\mathrm{4x}−\mathrm{6y}−\mathrm{1}\:=\mathrm{0} \\ $$$$\mathrm{find}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x}+\mathrm{y}\:? \\ $$

Question Number 96089 Answers: 2 Comments: 0

Question Number 96083 Answers: 1 Comments: 0

∫ ((e^x (1+sin x))/(1+cos x)) dx

$$\int\:\frac{\mathrm{e}^{\mathrm{x}} \left(\mathrm{1}+\mathrm{sin}\:\mathrm{x}\right)}{\mathrm{1}+\mathrm{cos}\:\mathrm{x}}\:\mathrm{dx}\: \\ $$

Question Number 96078 Answers: 0 Comments: 0

lim_((x,y)→(1,2)) sin (((x−1)/(y−2)))

$$\underset{\left({x},\mathrm{y}\right)\rightarrow\left(\mathrm{1},\mathrm{2}\right)} {\mathrm{lim}}\:\mathrm{sin}\:\left(\frac{\mathrm{x}−\mathrm{1}}{\mathrm{y}−\mathrm{2}}\right)\: \\ $$

Question Number 96076 Answers: 2 Comments: 0

∫ 3x.2^x dx ?

$$\int\:\mathrm{3x}.\mathrm{2}^{\mathrm{x}} \:\mathrm{dx}\:?\: \\ $$

Question Number 96072 Answers: 1 Comments: 0

(x^2 +24x+24).(x^2 +x+24)= 24x^2

$$\left(\mathrm{x}^{\mathrm{2}} +\mathrm{24x}+\mathrm{24}\right).\left(\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{24}\right)=\:\mathrm{24x}^{\mathrm{2}} \\ $$

Question Number 96065 Answers: 3 Comments: 0

y′ + y = x (y^2 )^(1/(3 ))

$$\mathrm{y}'\:+\:\mathrm{y}\:=\:\mathrm{x}\:\sqrt[{\mathrm{3}\:\:}]{\mathrm{y}^{\mathrm{2}} } \\ $$

Question Number 96114 Answers: 0 Comments: 6

A read only snapshot of questions and answers on this forum is accessible from www.tinkutara.com. This can be viewed in any browser and also included plain text. Version 2.079 has been uploaded to playstore and will be available for download in next couple of days.

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Question Number 96060 Answers: 1 Comments: 4

Question Number 96052 Answers: 1 Comments: 0

Question Number 96051 Answers: 0 Comments: 1

(x−y) dx + (x^2 +y^2 ) dy = 0

$$\left(\mathrm{x}−\mathrm{y}\right)\:\mathrm{dx}\:+\:\left(\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \right)\:\mathrm{dy}\:=\:\mathrm{0}\: \\ $$

Question Number 96041 Answers: 1 Comments: 0

if f(x)=3^x^(2+x^3 ) find f′(x)?

$${if}\:{f}\left({x}\right)=\mathrm{3}^{{x}^{\mathrm{2}+{x}^{\mathrm{3}} } } \:\:\:{find}\:{f}'\left({x}\right)? \\ $$

Question Number 96034 Answers: 2 Comments: 1

∫_0 ^∞ (1/(x^(10) +1))dx=((2π)/(5((√5)−1)))=((πφ)/5)

$$\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{1}}{{x}^{\mathrm{10}} +\mathrm{1}}{dx}=\frac{\mathrm{2}\pi}{\mathrm{5}\left(\sqrt{\mathrm{5}}−\mathrm{1}\right)}=\frac{\pi\phi}{\mathrm{5}} \\ $$

Question Number 96032 Answers: 1 Comments: 3

Question Number 96023 Answers: 0 Comments: 0

Question Number 96022 Answers: 0 Comments: 0

Question Number 96021 Answers: 0 Comments: 1

if p and q are two complex number and p×q=m ,m is a real number . is there always exists a p^(1/3) and q^(1/3) (we know p^(1/3) and q^(1/3) each has actually 3 values) such that p^(1/3) ×q^(1/3) =m^(1/3) .where m^(1/3) is real .?? how to prove it?

$$\mathrm{if}\:\mathrm{p}\:\mathrm{and}\:\mathrm{q}\:\mathrm{are}\:\mathrm{two}\:\mathrm{complex}\:\mathrm{number} \\ $$$$\mathrm{and}\:\mathrm{p}×\mathrm{q}=\mathrm{m}\:\:,\mathrm{m}\:\mathrm{is}\:\mathrm{a}\:\mathrm{real}\:\mathrm{number}\:. \\ $$$$ \\ $$$$\mathrm{is}\:\mathrm{there}\:\mathrm{always}\:\mathrm{exists}\:\mathrm{a}\:\:\mathrm{p}^{\frac{\mathrm{1}}{\mathrm{3}}} \:\mathrm{and}\:\mathrm{q}^{\frac{\mathrm{1}}{\mathrm{3}}} \\ $$$$\left(\mathrm{we}\:\mathrm{know}\:\mathrm{p}^{\frac{\mathrm{1}}{\mathrm{3}}} \:\mathrm{and}\:\mathrm{q}^{\frac{\mathrm{1}}{\mathrm{3}}} \mathrm{each}\:\mathrm{has}\:\mathrm{actually}\:\right. \\ $$$$\left.\mathrm{3}\:\mathrm{values}\right) \\ $$$$\mathrm{such}\:\mathrm{that}\:\mathrm{p}^{\frac{\mathrm{1}}{\mathrm{3}}} ×\mathrm{q}^{\frac{\mathrm{1}}{\mathrm{3}}} =\mathrm{m}^{\frac{\mathrm{1}}{\mathrm{3}}} .\mathrm{where}\:\mathrm{m}^{\frac{\mathrm{1}}{\mathrm{3}}} \\ $$$$\mathrm{is}\:\mathrm{real}\:.??\:\:\mathrm{how}\:\mathrm{to}\:\mathrm{prove}\:\mathrm{it}? \\ $$$$ \\ $$

Question Number 96012 Answers: 2 Comments: 1

Question Number 96008 Answers: 0 Comments: 1

((1−(1/a))/(a^2 −(1/a^2 )))

$$\frac{\mathrm{1}−\frac{\mathrm{1}}{\mathrm{a}}}{\mathrm{a}^{\mathrm{2}} −\frac{\mathrm{1}}{\mathrm{a}^{\mathrm{2}} }} \\ $$

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