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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.

$$\mathrm{A}\:\mathrm{read}\:\mathrm{only}\:\mathrm{snapshot}\:\mathrm{of}\:\mathrm{questions} \\ $$$$\mathrm{and}\:\mathrm{answers}\:\mathrm{on}\:\mathrm{this}\:\mathrm{forum}\:\mathrm{is} \\ $$$$\mathrm{accessible}\:\mathrm{from}\:\mathrm{www}.\mathrm{tinkutara}.\mathrm{com}. \\ $$$$\mathrm{This}\:\mathrm{can}\:\mathrm{be}\:\mathrm{viewed}\:\mathrm{in}\:\mathrm{any}\:\mathrm{browser} \\ $$$$\mathrm{and}\:\mathrm{also}\:\mathrm{included}\:\mathrm{plain}\:\mathrm{text}. \\ $$$$ \\ $$$$\mathrm{Version}\:\mathrm{2}.\mathrm{079}\:\mathrm{has}\:\mathrm{been}\:\mathrm{uploaded} \\ $$$$\mathrm{to}\:\mathrm{playstore}\:\mathrm{and}\:\mathrm{will}\:\mathrm{be}\:\mathrm{available} \\ $$$$\mathrm{for}\:\mathrm{download}\:\mathrm{in}\:\mathrm{next}\:\mathrm{couple}\:\mathrm{of}\:\mathrm{days}. \\ $$

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?

Question Number 96012 Answers: 2 Comments: 1

Question Number 96008 Answers: 0 Comments: 1

((1−(1/a))/(a^2 −(1/a^2 )))

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

Question Number 96007 Answers: 0 Comments: 1

((9x^2 +4a^2 )/(9x^2 −4a^2 )) +((3x)/(3x+2a)) −((2a)/(2a−3x))

$$\frac{\mathrm{9x}^{\mathrm{2}} +\mathrm{4a}^{\mathrm{2}} }{\mathrm{9x}^{\mathrm{2}} −\mathrm{4a}^{\mathrm{2}} }\:+\frac{\mathrm{3x}}{\mathrm{3x}+\mathrm{2a}}\:−\frac{\mathrm{2a}}{\mathrm{2a}−\mathrm{3x}} \\ $$

Question Number 95999 Answers: 2 Comments: 0

Question Number 95986 Answers: 0 Comments: 1

In a set of 3 consecutive natural numbers the sum of the last 2 numbers is equal to 3 times the first numbers. Find the sum of all the three numbers.

$$\mathrm{In}\:\mathrm{a}\:\mathrm{set}\:\mathrm{of}\:\mathrm{3}\:\mathrm{consecutive}\:\mathrm{natural}\:\mathrm{numbers} \\ $$$$\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{last}\:\mathrm{2}\:\mathrm{numbers}\:\mathrm{is}\:\mathrm{equal} \\ $$$$\mathrm{to}\:\mathrm{3}\:\mathrm{times}\:\mathrm{the}\:\mathrm{first}\:\mathrm{numbers}.\:\mathrm{Find}\:\mathrm{the} \\ $$$$\mathrm{sum}\:\mathrm{of}\:\mathrm{all}\:\mathrm{the}\:\mathrm{three}\:\mathrm{numbers}. \\ $$

Question Number 95985 Answers: 2 Comments: 0

A and B can complete a piece of work in 12 days and 24 days respectively. After A had worked for 6 days, B joined him, and then they completed the work. How much should A receive as his share from the total amount of Rs. 180 paid for completing the work?

$$\mathrm{A}\:\mathrm{and}\:\mathrm{B}\:\mathrm{can}\:\mathrm{complete}\:\mathrm{a}\:\mathrm{piece}\:\mathrm{of}\:\mathrm{work}\:\mathrm{in} \\ $$$$\mathrm{12}\:\mathrm{days}\:\mathrm{and}\:\mathrm{24}\:\mathrm{days}\:\mathrm{respectively}.\:\mathrm{After} \\ $$$$\mathrm{A}\:\mathrm{had}\:\mathrm{worked}\:\mathrm{for}\:\mathrm{6}\:\mathrm{days},\:\mathrm{B}\:\mathrm{joined}\:\mathrm{him}, \\ $$$$\mathrm{and}\:\mathrm{then}\:\mathrm{they}\:\mathrm{completed}\:\mathrm{the}\:\mathrm{work}.\:\mathrm{How} \\ $$$$\mathrm{much}\:\mathrm{should}\:\:\mathrm{A}\:\mathrm{receive}\:\mathrm{as}\:\mathrm{his}\:\mathrm{share}\:\mathrm{from} \\ $$$$\mathrm{the}\:\mathrm{total}\:\mathrm{amount}\:\mathrm{of}\:\mathrm{Rs}.\:\mathrm{180}\:\mathrm{paid}\:\mathrm{for} \\ $$$$\mathrm{completing}\:\mathrm{the}\:\mathrm{work}? \\ $$

Question Number 95982 Answers: 1 Comments: 0

Σx(y^3 −z^3 )=_____.

$$\Sigma{x}\left({y}^{\mathrm{3}} −{z}^{\mathrm{3}} \right)=\_\_\_\_\_. \\ $$

Question Number 95980 Answers: 1 Comments: 0

If lim_(x→3) (((√(3x+7))−((20x+4))^(1/(3 )) +ax+b)/((x−3)^2 )) exist , what is the value of ab

$$\mathrm{If}\:\underset{{x}\rightarrow\mathrm{3}} {\mathrm{lim}}\frac{\sqrt{\mathrm{3x}+\mathrm{7}}−\sqrt[{\mathrm{3}\:\:}]{\mathrm{20x}+\mathrm{4}}\:+{a}\mathrm{x}+{b}}{\left({x}−\mathrm{3}\right)^{\mathrm{2}} } \\ $$$$\mathrm{exist}\:,\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{ab}\: \\ $$

Question Number 95968 Answers: 1 Comments: 0

3^(((log _3 (2)+log _3 (3log _(1/3) (cot (π/3))))/(log _π (3).(log _2 (π)))) ? )

$$\mathrm{3}^{\frac{\mathrm{log}\:_{\mathrm{3}} \left(\mathrm{2}\right)+\mathrm{log}\:_{\mathrm{3}} \left(\mathrm{3log}\:_{\frac{\mathrm{1}}{\mathrm{3}}} \left(\mathrm{cot}\:\frac{\pi}{\mathrm{3}}\right)\right)}{\mathrm{log}\:_{\pi} \left(\mathrm{3}\right).\left(\mathrm{log}\:_{\mathrm{2}} \left(\pi\right)\right)}\:?\:} \\ $$

Question Number 95964 Answers: 0 Comments: 0

{ ((x^2 +y^2 =13)),((2x^2 +3y=2xy^2 )) :}