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Question Number 55295 Answers: 0 Comments: 0

Question Number 55245 Answers: 1 Comments: 0

Question Number 55240 Answers: 1 Comments: 0

make r the subject of the relation m=((4(√(u+r)))/(v−r))

$${make}\:{r}\:{the}\:{subject}\:{of}\:{the}\:{relation} \\ $$$${m}=\frac{\mathrm{4}\sqrt{{u}+{r}}}{{v}−{r}} \\ $$

Question Number 55237 Answers: 1 Comments: 1

∫_0 ^3 ∫_1 ^2 (x^3 +y^2 )dxdy

$$\int_{\mathrm{0}} ^{\mathrm{3}} \int_{\mathrm{1}} ^{\mathrm{2}} \left(\mathrm{x}^{\mathrm{3}} +\mathrm{y}^{\mathrm{2}} \right)\mathrm{dxdy} \\ $$

Question Number 55230 Answers: 0 Comments: 1

calculate lim_(ξ→0) ∫_1 ^(1+ξ) ((arctan(ξt))/t) dt .

$${calculate}\:{lim}_{\xi\rightarrow\mathrm{0}} \:\:\:\:\:\int_{\mathrm{1}} ^{\mathrm{1}+\xi} \:\:\:\:\frac{{arctan}\left(\xi{t}\right)}{{t}}\:{dt}\:. \\ $$

Question Number 55229 Answers: 0 Comments: 1

calculate lim_(n→+∞) ∫_0 ^n (e^(nx) /(1+nx^2 )) dx .

$${calculate}\:{lim}_{{n}\rightarrow+\infty} \:\int_{\mathrm{0}} ^{{n}} \:\:\frac{{e}^{{nx}} }{\mathrm{1}+{nx}^{\mathrm{2}} }\:{dx}\:\:. \\ $$

Question Number 55224 Answers: 3 Comments: 0

log_2 (x^2 +7x−2)=log_2 (x^2 +3x−6)+log_4 8 find x

$${log}_{\mathrm{2}} \left({x}^{\mathrm{2}} +\mathrm{7}{x}−\mathrm{2}\right)={log}_{\mathrm{2}} \left({x}^{\mathrm{2}} +\mathrm{3}{x}−\mathrm{6}\right)+{log}_{\mathrm{4}} \mathrm{8} \\ $$$${find}\:{x} \\ $$

Question Number 55223 Answers: 0 Comments: 5

Question Number 55217 Answers: 1 Comments: 0

Question Number 55214 Answers: 1 Comments: 1

let U_n =∫_(1/n) ^1 (√(x^2 +(3/n)))dx .calculate lim_(n→+∞) U_n

$${let}\:{U}_{{n}} =\int_{\frac{\mathrm{1}}{{n}}} ^{\mathrm{1}} \sqrt{{x}^{\mathrm{2}} +\frac{\mathrm{3}}{{n}}}{dx}\:\:\:.{calculate}\:{lim}_{{n}\rightarrow+\infty} {U}_{{n}} \\ $$

Question Number 55211 Answers: 1 Comments: 0

Question Number 55205 Answers: 0 Comments: 0

Please, can you help me with the following? A boat B is found at 40km at at the east of a boat A. A is moving at 30° east at 20km/h, B is moving qt 10km/h at 30°west. After how many hours will the two boats be the closest to each other? What will therefore be the position of the boat B and the boat A? Thank you

$$\mathrm{Please},\:\mathrm{can}\:\mathrm{you}\:\mathrm{help}\:\mathrm{me}\:\mathrm{with}\:\mathrm{the}\:\mathrm{following}? \\ $$$$ \\ $$$$ \\ $$$$\mathrm{A}\:\mathrm{boat}\:\boldsymbol{\mathrm{B}}\:\mathrm{is}\:\mathrm{found}\:\mathrm{at}\:\mathrm{40km}\:\mathrm{at}\:\mathrm{at}\:\mathrm{the}\:\mathrm{east}\:\mathrm{of} \\ $$$$\mathrm{a}\:\mathrm{boat}\:\boldsymbol{\mathrm{A}}.\:\boldsymbol{\mathrm{A}}\:\mathrm{is}\:\mathrm{moving}\:\mathrm{at}\:\mathrm{30}°\:\mathrm{east}\:\mathrm{at}\:\mathrm{20km}/\mathrm{h}, \\ $$$$\boldsymbol{\mathrm{B}}\:\mathrm{is}\:\mathrm{moving}\:\mathrm{qt}\:\mathrm{10km}/\mathrm{h}\:\mathrm{at}\:\mathrm{30}°\mathrm{west}. \\ $$$$ \\ $$$$\mathrm{After}\:\mathrm{how}\:\mathrm{many}\:\mathrm{hours}\:\mathrm{will}\:\mathrm{the}\:\mathrm{two}\:\mathrm{boats} \\ $$$$\mathrm{be}\:\mathrm{the}\:\mathrm{closest}\:\mathrm{to}\:\mathrm{each}\:\mathrm{other}? \\ $$$$\mathrm{What}\:\mathrm{will}\:\mathrm{therefore}\:\mathrm{be}\:\mathrm{the}\:\mathrm{position}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{boat}\:\boldsymbol{\mathrm{B}}\:\mathrm{and}\:\mathrm{the}\:\mathrm{boat}\:\boldsymbol{\mathrm{A}}? \\ $$$$ \\ $$$$ \\ $$$$\mathrm{Thank}\:\mathrm{you} \\ $$$$ \\ $$

Question Number 55198 Answers: 2 Comments: 1

x^5 −4x^4 +6x^3 +8x−32=0 Find at least one root.

$${x}^{\mathrm{5}} −\mathrm{4}{x}^{\mathrm{4}} +\mathrm{6}{x}^{\mathrm{3}} +\mathrm{8}{x}−\mathrm{32}=\mathrm{0} \\ $$$${Find}\:{at}\:{least}\:{one}\:{root}. \\ $$

Question Number 55197 Answers: 0 Comments: 4

∫(dα/(1−sin^3 α))=? ∫(dβ/(1−cos^3 β))=? ∫(dγ/(1−tan^3 γ))=?

$$\int\frac{{d}\alpha}{\mathrm{1}−\mathrm{sin}^{\mathrm{3}} \:\alpha}=? \\ $$$$\int\frac{{d}\beta}{\mathrm{1}−\mathrm{cos}^{\mathrm{3}} \:\beta}=? \\ $$$$\int\frac{{d}\gamma}{\mathrm{1}−\mathrm{tan}^{\mathrm{3}} \:\gamma}=? \\ $$

Question Number 55195 Answers: 1 Comments: 0

x^2 +ax+(√2)b=0,has 2 roots:c and d,also x^2 +cx+(√2)d=0,has 2 roots:a and b.such that:a, b, c, d,are defferent non zero numbers. find possible value(s) for:a^2 +b^2 +c^2 +d^2 .

Question Number 55193 Answers: 1 Comments: 0