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Question Number 226102 Answers: 0 Comments: 0

Question Number 226101 Answers: 0 Comments: 0

S^→ (u,v)= { ((r∙(2+v∙sin(u))sin(2πv))),((rv∙cos(u))),((r∙(2+v∙sin(u))cos(2πv)+r∙(2v−2))) :} D=(0≤r<∞ , −π≤u≤π , 0≤v≤(π/2) ) ∫∫_( D) det S_u ^→ ×S_v ^→ dV=??

$$\overset{\rightarrow} {\boldsymbol{\mathcal{S}}}\left({u},{v}\right)=\begin{cases}{{r}\centerdot\left(\mathrm{2}+{v}\centerdot\mathrm{sin}\left({u}\right)\right)\mathrm{sin}\left(\mathrm{2}\pi{v}\right)}\\{{rv}\centerdot\mathrm{cos}\left({u}\right)}\\{{r}\centerdot\left(\mathrm{2}+{v}\centerdot\mathrm{sin}\left({u}\right)\right)\mathrm{cos}\left(\mathrm{2}\pi{v}\right)+{r}\centerdot\left(\mathrm{2}{v}−\mathrm{2}\right)}\end{cases} \\ $$$$\mathcal{D}=\left(\mathrm{0}\leq{r}<\infty\:,\:−\pi\leq{u}\leq\pi\:,\:\mathrm{0}\leq{v}\leq\frac{\pi}{\mathrm{2}}\:\right) \\ $$$$\int\int_{\:\mathcal{D}} \:\mathrm{det}\:\overset{\rightarrow} {\boldsymbol{\mathcal{S}}}_{{u}} ×\overset{\rightarrow} {\boldsymbol{\mathcal{S}}}_{{v}} \:\mathrm{d}{V}=?? \\ $$

Question Number 226100 Answers: 0 Comments: 0

please need help, how to copy the required equation to ms word.

$${please}\:{need}\:{help},\:{how}\:{to}\:{copy}\:{the}\:{required}\:{equation}\:{to} \\ $$$${ms}\:{word}.\: \\ $$

Question Number 226097 Answers: 0 Comments: 1

I have multiple rectangular boxes whose sides are x and y. I need to fit n such boxes into a larger rectangular box whose sides are X and Y. Now, find the values of X and Y such that the area of the larger box is minimum.

I have multiple rectangular boxes whose sides are x and y. I need to fit n such boxes into a larger rectangular box whose sides are X and Y. Now, find the values of X and Y such that the area of the larger box is minimum.

Question Number 226053 Answers: 1 Comments: 0

The coefficient of x^2 in the expansion of (1+ (2/p)x)^5 + (1+px)^6 is 70. Find the possible values of the constant p.

$${The}\:{coefficient}\:{of}\:{x}^{\mathrm{2}} \:{in}\:{the}\:{expansion} \\ $$$${of}\:\left(\mathrm{1}+\:\left(\mathrm{2}/{p}\right){x}\right)^{\mathrm{5}} \:+\:\left(\mathrm{1}+{px}\right)^{\mathrm{6}} \:{is}\:\mathrm{70}. \\ $$$${Find}\:{the}\:{possible}\:{values}\:{of}\:{the} \\ $$$${constant}\:{p}. \\ $$

Question Number 226049 Answers: 0 Comments: 9

Question Number 226045 Answers: 0 Comments: 0

Question Number 226044 Answers: 1 Comments: 0

Question Number 226042 Answers: 0 Comments: 6

Question Number 226022 Answers: 0 Comments: 1

∫_0 ^1 (x^x )^((x^x )^((x^x )^(...) ) ) dx=?

$$\int_{\mathrm{0}} ^{\mathrm{1}} \left({x}^{{x}} \right)^{\left({x}^{{x}} \right)^{\left({x}^{{x}} \right)^{...} } } {dx}=? \\ $$

Question Number 226015 Answers: 1 Comments: 0

Question Number 226014 Answers: 2 Comments: 1

Question Number 226007 Answers: 0 Comments: 0

Question Number 226006 Answers: 0 Comments: 2

(3/7)^0 prove and evalute show all working

$$\left(\mathrm{3}/\mathrm{7}\right)^{\mathrm{0}} \:\:\:{prove}\:{and}\:{evalute}\:{show}\:{all} \\ $$$${working} \\ $$

Question Number 226003 Answers: 1 Comments: 1

If r^2 +r((√3)−(1/( (√3))))sin θ=(2/3) find A=∫_(π/6) ^( π/2) ((r^2 /2))dθ

$${If}\:\:{r}^{\mathrm{2}} +{r}\left(\sqrt{\mathrm{3}}−\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\right)\mathrm{sin}\:\theta=\frac{\mathrm{2}}{\mathrm{3}} \\ $$$${find}\:{A}=\int_{\pi/\mathrm{6}} ^{\:\pi/\mathrm{2}} \left(\frac{{r}^{\mathrm{2}} }{\mathrm{2}}\right){d}\theta \\ $$$$\: \\ $$

Question Number 225994 Answers: 2 Comments: 0

Question Number 225993 Answers: 0 Comments: 0

Question Number 225980 Answers: 2 Comments: 4

Question Number 225970 Answers: 0 Comments: 2

2^(100!) ? 2^(100) ![=,<or >]

$$\mathrm{2}^{\mathrm{100}!} \:?\:\mathrm{2}^{\mathrm{100}} !\left[=,<{or}\:>\right] \\ $$

Question Number 225954 Answers: 3 Comments: 0

(√(x−(1/x)))+(√(1−(1/x)))=x

$$\sqrt{{x}−\frac{\mathrm{1}}{{x}}}+\sqrt{\mathrm{1}−\frac{\mathrm{1}}{{x}}}={x} \\ $$$$ \\ $$

Question Number 225955 Answers: 1 Comments: 10

can we find the perimeter of an ellipse?

$${can}\:{we}\:{find}\:{the}\:{perimeter} \\ $$$${of}\:{an}\:{ellipse}? \\ $$

Question Number 225941 Answers: 2 Comments: 1

Question Number 225934 Answers: 1 Comments: 0

{ ((⌈ ((8−2x)/3) ⌉ ; x≥ 0)),((⌊ ((3x−1)/4) ⌋ ; x<0)) :}. − −1)+

$$\:\: \begin{cases}{\lceil\:\frac{\mathrm{8}−\mathrm{2}{x}}{\mathrm{3}}\:\rceil\:;\:{x}\geqslant\:\mathrm{0}}\\{\lfloor\:\frac{\mathrm{3}{x}−\mathrm{1}}{\mathrm{4}}\:\rfloor\:;\:{x}<\mathrm{0}}\end{cases}. \\ $$$$\left.\:\: − −\mathrm{1}\right)+\: \\ $$$$ \\ $$

Question Number 225932 Answers: 1 Comments: 0

If, ((by+cz)/(b^2 +c^2 ))=((cz+ax)/(c^2 +a^2 ))=((ax+by)/(a^2 +b^2 )) then prove that, (x/a)=(y/b)=(z/c)

$$\:{If},\:\frac{{by}+{cz}}{{b}^{\mathrm{2}} +{c}^{\mathrm{2}} }=\frac{{cz}+{ax}}{{c}^{\mathrm{2}} +{a}^{\mathrm{2}} }=\frac{{ax}+{by}}{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} } \\ $$$$\:{then}\:{prove}\:{that},\:\frac{{x}}{{a}}=\frac{{y}}{{b}}=\frac{{z}}{{c}} \\ $$

Question Number 225939 Answers: 2 Comments: 0

Question Number 225938 Answers: 6 Comments: 0

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