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Question Number 226112 Answers: 2 Comments: 0

Question Number 226111 Answers: 1 Comments: 0

Show that the equation (1/(sinθ+cosθ)) + (1/(sinθ−cosθ)) = 1 may be express in the form a(sinθ)^2 +bsinθ+c=0 where a b and c are constants to be found.

$${Show}\:{that}\:{the}\:{equation} \\ $$$$\frac{\mathrm{1}}{{sin}\theta+{cos}\theta}\:+\:\frac{\mathrm{1}}{{sin}\theta−{cos}\theta}\:=\:\mathrm{1} \\ $$$${may}\:{be}\:{express}\:{in}\:{the}\:{form} \\ $$$${a}\left({sin}\theta\right)^{\mathrm{2}} +{bsin}\theta+{c}=\mathrm{0}\:{where}\:{a}\:{b}\: \\ $$$${and}\:{c}\:{are}\:{constants}\:{to}\:{be}\:{found}. \\ $$

Question Number 226104 Answers: 1 Comments: 0

Q226042

$${Q}\mathrm{226042} \\ $$

Question Number 226103 Answers: 0 Comments: 0

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.

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