Question Number 141794 by mathdanisur last updated on 23/May/21 Commented by JDamian last updated on 23/May/21 $${repeated}\:{question}\:\mathrm{141730} \\ $$ Commented by mathdanisur last updated on…
Question Number 141791 by Chhing last updated on 23/May/21 $$\mathrm{Calculate} \\ $$$$\:\underset{\mathrm{n}=\mathrm{1}} {\overset{+\infty} {\sum}}\:\frac{\mathrm{n}^{\mathrm{2}} }{\mathrm{3}^{\mathrm{n}} } \\ $$ Answered by mr W last updated on…
Question Number 76252 by necxxx last updated on 25/Dec/19 $${A}\:{triangle}\:{has}\:{an}\:{area}\:{of}\:\mathrm{20}\:{square} \\ $$$${units}\:{and}\:{two}\:{vertices}\:{are}\:\left(\mathrm{3},\mathrm{4}\right)\:{and}\:\left(\mathrm{2},\mathrm{7}\right). \\ $$$${What}\:{is}\:{the}\:{position}\:{of}\:{the}\:{third}\:{vertex}? \\ $$ Commented by MJS last updated on 25/Dec/19 $$\mathrm{in}\:\mathrm{words}:\:\mathrm{we}\:\mathrm{know}\:\mathrm{the}\:\mathrm{area}=\frac{\mathrm{side}×\mathrm{height}}{\mathrm{2}} \\…
Question Number 141785 by 7770 last updated on 23/May/21 $$\boldsymbol{\mathrm{If}}\:\:\boldsymbol{\mathrm{x}}=\boldsymbol{\mathrm{asin}}\mathrm{2}\boldsymbol{\mathrm{t}}+\boldsymbol{\mathrm{bcos}}\mathrm{2}\boldsymbol{\mathrm{t}},\boldsymbol{\mathrm{prove}}\:\boldsymbol{\mathrm{that}}\: \\ $$$$\frac{\boldsymbol{\mathrm{dx}}}{\boldsymbol{\mathrm{dt}}}=\mathrm{2}\sqrt{\boldsymbol{\mathrm{a}}^{\mathrm{2}} +\boldsymbol{\mathrm{b}}^{\mathrm{2}} −\boldsymbol{\mathrm{x}}^{\mathrm{2}} } \\ $$$$\boldsymbol{\mathrm{Solution}}…. \\ $$ Answered by iloveisrael last updated on…
Question Number 76250 by Mikael_786 last updated on 25/Dec/19 Commented by Mikael_786 last updated on 25/Dec/19 $${how}\:{to}\:{find}\:{tranform}\:{laplace}\:{invers}? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 10714 by Saham last updated on 23/Feb/17 $$\mathrm{Given}\:\mathrm{the}\:\mathrm{following}\:\mathrm{information}\:\mathrm{regarding}\:\mathrm{the}\:\mathrm{follwing}\: \\ $$$$\mathrm{distribution}\::\:\: \\ $$$$\mathrm{n}\:=\:\mathrm{5},\:\:\:\:\overset{−} {\mathrm{x}}\:=\:\mathrm{10},\:\:\:\overset{−} {\mathrm{y}}\:=\:\mathrm{20},\:\:\:\Sigma\left(\mathrm{x}\:−\:\mathrm{4}\right)^{\mathrm{2}} \:=\:\mathrm{100},\:\:\Sigma\left(\mathrm{y}\:−\:\mathrm{10}\right)^{\mathrm{2}} \:=\:\mathrm{160}, \\ $$$$\Sigma\left(\mathrm{x}\:−\:\mathrm{4}\right)\left(\mathrm{y}\:−\:\mathrm{10}\right)\:=\:\mathrm{80} \\ $$$$\left(\mathrm{i}\right) \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{two}\:\mathrm{regression}\:\mathrm{coefficient}\:\mathrm{and} \\…
Question Number 76248 by john santuy last updated on 25/Dec/19 $$\overset{{lim}} {{x}}\rightarrow\overset{\:\:\:\:\left(\frac{{sin}\mathrm{3}{x}}{\mathrm{2}{x}}\right)^{\frac{\mathrm{2}}{\mathrm{5}{x}+\mathrm{1}}} } {\mathrm{0}}=\:?\:\: \\ $$ Commented by Mikael_786 last updated on 25/Dec/19 $$\underset{{x}\rightarrow\mathrm{0}} {{lim}}\frac{{sin}\mathrm{3}{x}}{\mathrm{2}{x}}=\underset{{x}\rightarrow\mathrm{0}}…
Question Number 10713 by Saham last updated on 23/Feb/17 $$\mathrm{y}\:=\:\mathrm{5sin}\left(\mathrm{2000}\pi\mathrm{t}\:−\:\mathrm{0}.\mathrm{4x}\right),\:\mathrm{calculate}\:\mathrm{the}\:\mathrm{wavelength} \\ $$ Answered by ridwan balatif last updated on 23/Feb/17 $$\mathrm{y}=\mathrm{5sin}\left(\mathrm{2000}\pi\mathrm{t}−\mathrm{0}.\mathrm{4x}\right) \\ $$$$\mathrm{base}\:\mathrm{formula}'\mathrm{s}\:\mathrm{y}=\mathrm{Asin}\left(\omega\mathrm{t}−\mathrm{kx}\right) \\ $$$$\mathrm{A}=\mathrm{5}…
Question Number 141786 by Rankut last updated on 23/May/21 $$\boldsymbol{\mathrm{If}}\:\:\boldsymbol{\mathrm{y}}=\mathrm{1}−\boldsymbol{\mathrm{cos}}\mathrm{2}\boldsymbol{\mathrm{t}}\:\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{x}}=\sqrt{\mathrm{1}+\boldsymbol{\mathrm{t}}^{\mathrm{2}} }\:.\boldsymbol{\mathrm{Show}}\:\boldsymbol{\mathrm{that}} \\ $$$$\frac{\boldsymbol{\mathrm{dy}}}{\boldsymbol{\mathrm{dx}}}=\frac{\mathrm{2}\sqrt{\mathrm{1}+\boldsymbol{\mathrm{t}}^{\mathrm{2}} }\:\boldsymbol{\mathrm{sin}}\mathrm{2}\boldsymbol{\mathrm{t}}}{\boldsymbol{\mathrm{t}}} \\ $$$$\boldsymbol{\mathrm{Help}}\:\boldsymbol{\mathrm{please}}. \\ $$ Answered by iloveisrael last updated on 23/May/21…
Question Number 10712 by Saham last updated on 23/Feb/17 $$\mathrm{If}\:\mathrm{y}\:=\:\mathrm{x}^{\mathrm{x}} ,\:\:\mathrm{find}\:\:\frac{\mathrm{dy}}{\mathrm{dx}} \\ $$ Answered by mrW1 last updated on 23/Feb/17 $${y}={x}^{{x}} \\ $$$$\mathrm{ln}\:{y}={x}\mathrm{ln}\:{x} \\ $$$$\frac{\mathrm{1}}{{y}}×\frac{{dy}}{{dx}}=\mathrm{ln}\:{x}+\mathrm{1}…