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Question Number 70583    Answers: 1   Comments: 0

Given that y=(4/(√((x^3 +1)))) show that 2(x^3 +1)(dy/dx)=−3x^2 y.

$$\mathrm{Given}\:\mathrm{that}\:\mathrm{y}=\frac{\mathrm{4}}{\sqrt{\left(\mathrm{x}^{\mathrm{3}} +\mathrm{1}\right)}}\:\mathrm{show}\:\mathrm{that}\:\mathrm{2}\left(\mathrm{x}^{\mathrm{3}} +\mathrm{1}\right)\frac{\mathrm{dy}}{\mathrm{dx}}=−\mathrm{3x}^{\mathrm{2}} \mathrm{y}. \\ $$

Question Number 70587    Answers: 0   Comments: 1

Question Number 70568    Answers: 0   Comments: 1

Question Number 70562    Answers: 0   Comments: 0

Question Number 70571    Answers: 0   Comments: 1

Question Number 70582    Answers: 0   Comments: 1

Given that y=(4/(√((x^3 +1)))) show that 2(x^3 +1)(dy/dx)=−3x^2 y.

$$\mathrm{Given}\:\mathrm{that}\:\mathrm{y}=\frac{\mathrm{4}}{\sqrt{\left(\mathrm{x}^{\mathrm{3}} +\mathrm{1}\right)}}\:\mathrm{show}\:\mathrm{that}\:\mathrm{2}\left(\mathrm{x}^{\mathrm{3}} +\mathrm{1}\right)\frac{\mathrm{dy}}{\mathrm{dx}}=−\mathrm{3x}^{\mathrm{2}} \mathrm{y}. \\ $$

Question Number 70543    Answers: 0   Comments: 6

Question Number 70525    Answers: 1   Comments: 0

If x,y,z is a primitive Pythagorean triple,prove that x+y and x−y are congruent modulo 8 to either 1 or 7.

$${If}\:{x},{y},{z}\:{is}\:{a}\:{primitive}\:{Pythagorean} \\ $$$${triple},{prove}\:{that}\:{x}+{y}\:{and}\:{x}−{y}\:{are} \\ $$$${congruent}\:{modulo}\:\mathrm{8}\:{to}\:{either}\:\mathrm{1}\:{or}\:\mathrm{7}. \\ $$

Question Number 70519    Answers: 0   Comments: 3

Question Number 70518    Answers: 2   Comments: 2

If a^3 −b^3 = 513 and ab= 54 then find a−b= ?

$$\mathrm{If}\:\mathrm{a}^{\mathrm{3}} −\mathrm{b}^{\mathrm{3}} =\:\mathrm{513}\:\mathrm{and}\:\mathrm{ab}=\:\mathrm{54}\:\mathrm{then}\:\mathrm{find}\: \\ $$$$\mathrm{a}−\mathrm{b}=\:? \\ $$

Question Number 70516    Answers: 1   Comments: 1

Question Number 70513    Answers: 0   Comments: 1

Question Number 70512    Answers: 1   Comments: 1

The faculty of science news paper reports that the combined membership of the mathematics club and science club is 122 students. What is the total membership of the chemistry club?

$$\mathrm{The}\:\mathrm{faculty}\:\mathrm{of}\:\mathrm{science}\:\mathrm{news}\:\mathrm{paper}\:\mathrm{reports}\:\mathrm{that}\:\mathrm{the}\:\mathrm{combined}\:\mathrm{membership}\:\mathrm{of}\:\mathrm{the}\:\:\mathrm{mathematics}\:\mathrm{club}\:\mathrm{and}\:\mathrm{science}\:\:\mathrm{club}\:\mathrm{is}\:\mathrm{122}\:\mathrm{students}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{total}\:\mathrm{membership}\:\mathrm{of}\:\mathrm{the}\:\mathrm{chemistry}\:\mathrm{club}? \\ $$

Question Number 70499    Answers: 0   Comments: 2

Question Number 70497    Answers: 1   Comments: 1

Question Number 70520    Answers: 0   Comments: 0

Question Number 70483    Answers: 1   Comments: 3

∫((ln2x)/(ln4x)).(dx/x)

$$\int\frac{{ln}\mathrm{2}{x}}{{ln}\mathrm{4}{x}}.\frac{{dx}}{{x}} \\ $$

Question Number 70482    Answers: 1   Comments: 2

∫((sin^3 x)/(√(cosx)))dx

$$\int\frac{{sin}^{\mathrm{3}} {x}}{\sqrt{{cosx}}}{dx} \\ $$

Question Number 70473    Answers: 0   Comments: 1

While posting photos of printed material please use app (like camscanner) so that picture will look clean. Also please crop pictures and upload in correct orientation. In built editor support near all maths symbols and constructs. Please go thru tutorial video and you will be able to write basic math like fraction, integral etc in less than 15 mins and you wont need to use pictures except for shapes.

$$ \\ $$$$\mathrm{While}\:\mathrm{posting}\:\mathrm{photos}\:\mathrm{of}\:\mathrm{printed}\:\mathrm{material} \\ $$$$\mathrm{please}\:\mathrm{use}\:\mathrm{app}\:\left(\mathrm{like}\:\mathrm{camscanner}\right)\:\mathrm{so} \\ $$$$\mathrm{that}\:\mathrm{picture}\:\mathrm{will}\:\mathrm{look}\:\mathrm{clean}. \\ $$$$\mathrm{Also}\:\mathrm{please}\:\mathrm{crop}\:\mathrm{pictures}\:\mathrm{and}\:\mathrm{upload} \\ $$$$\mathrm{in}\:\mathrm{correct}\:\mathrm{orientation}. \\ $$$$ \\ $$$$\mathrm{In}\:\mathrm{built}\:\mathrm{editor}\:\mathrm{support}\:\mathrm{near}\:\mathrm{all}\:\mathrm{maths} \\ $$$$\mathrm{symbols}\:\mathrm{and}\:\mathrm{constructs}.\:\mathrm{Please}\:\mathrm{go} \\ $$$$\mathrm{thru}\:\mathrm{tutorial}\:\mathrm{video}\:\mathrm{and}\:\mathrm{you}\:\mathrm{will}\:\mathrm{be}\:\mathrm{able} \\ $$$$\mathrm{to}\:\mathrm{write}\:\mathrm{basic}\:\mathrm{math}\:\mathrm{like}\:\mathrm{fraction},\: \\ $$$$\mathrm{integral}\:\mathrm{etc}\:\mathrm{in}\:\mathrm{less}\:\mathrm{than}\:\mathrm{15}\:\mathrm{mins}\:\mathrm{and} \\ $$$$\mathrm{you}\:\mathrm{wont}\:\mathrm{need}\:\mathrm{to}\:\mathrm{use}\:\mathrm{pictures}\:\mathrm{except} \\ $$$$\mathrm{for}\:\mathrm{shapes}. \\ $$$$ \\ $$

Question Number 70503    Answers: 0   Comments: 3

Question Number 70460    Answers: 0   Comments: 2

Question Number 70452    Answers: 2   Comments: 4

Question Number 70448    Answers: 0   Comments: 0

someone can texting me in whatsapp? someone than know english +584249229498 thanks

$${someone}\:{can}\:{texting}\:{me}\:{in}\:{whatsapp}? \\ $$$${someone}\:{than}\:{know}\:{english} \\ $$$$+\mathrm{584249229498} \\ $$$${thanks} \\ $$

Question Number 70446    Answers: 0   Comments: 4

Question Number 70429    Answers: 3   Comments: 6

Question Number 70425    Answers: 0   Comments: 0

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