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Question Number 74580 Answers: 1 Comments: 0

Question Number 74579 Answers: 0 Comments: 0

find the gradient of scalar point function being expressed in term of scalar triple product as u=(a^ ,b^ ,c^ )=a^ .b^ ×c^

$${find}\:{the}\:{gradient}\:{of}\:{scalar}\:{point}\:{function}\:{being}\:{expressed}\:{in}\:{term}\:{of}\:{scalar}\:{triple}\:{product}\:{as}\:{u}=\left(\bar {{a}},\bar {{b}},\bar {{c}}\right)=\bar {{a}}.\bar {{b}}×\bar {{c}} \\ $$

Question Number 74573 Answers: 1 Comments: 1

Find (turn it into non-segma expression) 1+Σ_(k=1) ^(n−1) (((−1)^k +3)/2)

$$\mathrm{Find}\:\left(\mathrm{turn}\:\mathrm{it}\:\mathrm{into}\:\mathrm{non}-\mathrm{segma}\:\mathrm{expression}\right) \\ $$$$\mathrm{1}+\underset{{k}=\mathrm{1}} {\overset{{n}−\mathrm{1}} {\sum}}\frac{\left(−\mathrm{1}\right)^{{k}} +\mathrm{3}}{\mathrm{2}} \\ $$

Question Number 74604 Answers: 0 Comments: 3

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Question Number 74601 Answers: 0 Comments: 0

solve y′′+ a(x)y=b(x) the general form of the solution if possible or juzt a solving metbod

$${solve}\:\:\:{y}''+\:{a}\left({x}\right){y}={b}\left({x}\right)\: \\ $$$${the}\:\:{general}\:\:{form}\:{of}\:\:{the}\:{solution}\:{if}\:\:{possible} \\ $$$${or}\:\:{juzt}\:{a}\:{solving}\:{metbod} \\ $$

Question Number 74600 Answers: 1 Comments: 0

Question Number 74599 Answers: 0 Comments: 0

Hello,verry Nice day let U_n =E((((3+(√(17)))/2))^n ),n∈N^∗ show that U_n ≡n(2)

$$\mathrm{Hello},\mathrm{verry}\:\mathrm{Nice}\:\mathrm{day}\: \\ $$$$\mathrm{let}\:\mathrm{U}_{\mathrm{n}} =\mathrm{E}\left(\left(\frac{\mathrm{3}+\sqrt{\mathrm{17}}}{\mathrm{2}}\right)^{\mathrm{n}} \right),\mathrm{n}\in\mathbb{N}^{\ast} \\ $$$$\mathrm{show}\:\mathrm{that}\:\mathrm{U}_{\mathrm{n}} \equiv\mathrm{n}\left(\mathrm{2}\right) \\ $$

Question Number 74570 Answers: 1 Comments: 0

lim_(n→∞) (1/((n)^(1/n) )) = ?

$${lim}_{{n}\rightarrow\infty} \frac{\mathrm{1}}{\left({n}\right)^{\frac{\mathrm{1}}{{n}}} }\:=\:? \\ $$

Question Number 74617 Answers: 0 Comments: 0

Expand 1+Σ_(k=1) ^(n−1) [∣((2(√3))/3)sin(120x)∣+2]

$$\mathrm{Expand} \\ $$$$\mathrm{1}+\underset{{k}=\mathrm{1}} {\overset{{n}−\mathrm{1}} {\sum}}\left[\mid\frac{\mathrm{2}\sqrt{\mathrm{3}}}{\mathrm{3}}{sin}\left(\mathrm{120}{x}\right)\mid+\mathrm{2}\right] \\ $$

Question Number 74615 Answers: 2 Comments: 0

Question Number 74614 Answers: 1 Comments: 0

Question Number 74611 Answers: 1 Comments: 0

Question Number 74609 Answers: 0 Comments: 1

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Question Number 74559 Answers: 0 Comments: 0

The sum of N Arithmetic means between two numbers is 20. If last mean is double of 1st mean and one is three times the another number. Find the numbers

$$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{N}\:\mathrm{Arithmetic}\:\mathrm{means}\:\mathrm{between}\:\mathrm{two}\:\mathrm{numbers} \\ $$$$\mathrm{is}\:\mathrm{20}.\:\mathrm{If}\:\mathrm{last}\:\mathrm{mean}\:\mathrm{is}\:\mathrm{double}\:\mathrm{of}\:\mathrm{1st}\:\mathrm{mean} \\ $$$$\mathrm{and}\:\mathrm{one}\:\mathrm{is}\:\mathrm{three}\:\mathrm{times}\:\mathrm{the}\:\mathrm{another}\:\mathrm{number}.\: \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{numbers} \\ $$

Question Number 74557 Answers: 1 Comments: 2

Question Number 74555 Answers: 0 Comments: 1

Good day friends.I saw a post on a group chat where someone said he needs help on functional iteration. He said he needs some solvings with overleaf and also to play the report on latex.He is highly willing to pay so I thought to myself to post it here just incase there′s someone that can pick up the offer. Here′s his number +15416368040

$${Good}\:{day}\:{friends}.{I}\:{saw}\:{a}\:{post}\:{on}\:{a} \\ $$$${group}\:{chat}\:{where}\:{someone}\:{said}\:{he}\:{needs} \\ $$$${help}\:{on}\:{functional}\:{iteration}.\:{He}\:{said} \\ $$$${he}\:{needs}\:{some}\:{solvings}\:{with}\:{overleaf} \\ $$$${and}\:{also}\:{to}\:{play}\:{the}\:{report}\:{on}\:{latex}.{He}\:{is} \\ $$$${highly}\:{willing}\:{to}\:{pay}\:{so}\:{I}\:{thought}\:{to}\:{myself} \\ $$$${to}\:{post}\:{it}\:{here}\:{just}\:{incase}\:{there}'{s} \\ $$$${someone}\:{that}\:{can}\:{pick}\:{up}\:{the}\:{offer}. \\ $$$$ \\ $$$${Here}'{s}\:{his}\:{number} \\ $$$$ \\ $$$$+\mathrm{15416368040} \\ $$$$ \\ $$$$ \\ $$

Question Number 74554 Answers: 1 Comments: 0

Find the superimum of the set {(n^2 /2^n )}

$$\boldsymbol{{Find}}\:\boldsymbol{{the}}\:\boldsymbol{{superimum}}\:\boldsymbol{{of}}\:\boldsymbol{{the}}\:\boldsymbol{{set}}\:\left\{\frac{\boldsymbol{{n}}^{\mathrm{2}} }{\mathrm{2}^{\boldsymbol{{n}}} }\right\} \\ $$

Question Number 74542 Answers: 1 Comments: 0

∫(ln(x)e^x )dx=???

$$ \\ $$$$ \\ $$$$ \\ $$$$\:\:\:\int\left(\boldsymbol{{ln}}\left(\boldsymbol{{x}}\right)\boldsymbol{{e}}^{\boldsymbol{{x}}} \right)\boldsymbol{{dx}}=??? \\ $$

Question Number 74536 Answers: 1 Comments: 0

find limz⇒0 (xy^2 /x^2 +y^2 ) pleas sir help me

$${find}\:{limz}\Rightarrow\mathrm{0}\:\:\left({xy}^{\mathrm{2}} /{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)\:{pleas}\:{sir}\:{help}\:{me}\: \\ $$

Question Number 74527 Answers: 2 Comments: 1

Question Number 74514 Answers: 1 Comments: 1

calculate ∫_0 ^(2π) (((x−sinθ)dθ)/((x^2 −2x sinθ +1)^2 ))

$${calculate}\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\:\frac{\left({x}−{sin}\theta\right){d}\theta}{\left({x}^{\mathrm{2}} −\mathrm{2}{x}\:{sin}\theta\:+\mathrm{1}\right)^{\mathrm{2}} } \\ $$

Question Number 74513 Answers: 1 Comments: 1

find f(x)=∫_0 ^π (dθ/(x^2 −2xsin(2θ)+1)) (x real)

$${find}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\pi} \:\:\frac{{d}\theta}{{x}^{\mathrm{2}} −\mathrm{2}{xsin}\left(\mathrm{2}\theta\right)+\mathrm{1}}\:\:\left({x}\:{real}\right) \\ $$

Question Number 74526 Answers: 1 Comments: 0

prove that (1/2)tan^(−1) x=cos^(−1) ((√((1+(√(1+x^2 )))/(2(√(1+x^2 )))))) using substitution x=cos 2θ

$${prove}\:{that} \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}{tan}^{−\mathrm{1}} {x}={cos}^{−\mathrm{1}} \left(\sqrt{\frac{\mathrm{1}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }}{\mathrm{2}\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }}}\right) \\ $$$${using}\:{substitution}\:{x}={cos}\:\mathrm{2}\theta \\ $$

Question Number 74560 Answers: 0 Comments: 1

Question Number 74522 Answers: 0 Comments: 3

A rope inclined at angle 37° to the horizontal is used to drag a 50kg block along a level floor with an acceleration of 1m/s^2 .The coefficient of friction between the block and the floor is 0.2. What is the tension in the rope?

$${A}\:{rope}\:{inclined}\:{at}\:{angle}\:\mathrm{37}°\:{to}\:{the}\: \\ $$$${horizontal}\:{is}\:{used}\:{to}\:{drag}\:{a}\:\mathrm{50}{kg}\:{block} \\ $$$${along}\:{a}\:{level}\:{floor}\:{with}\:{an}\:{acceleration} \\ $$$${of}\:\mathrm{1}{m}/{s}^{\mathrm{2}} \:.{The}\:{coefficient}\:{of}\:{friction} \\ $$$${between}\:{the}\:{block}\:{and}\:{the}\:{floor}\:{is}\:\mathrm{0}.\mathrm{2}. \\ $$$${What}\:{is}\:{the}\:{tension}\:{in}\:{the}\:{rope}? \\ $$

Question Number 74520 Answers: 1 Comments: 0

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