Question Number 9982 by Tawakalitu ayo mi last updated on 20/Jan/17 Answered by sandy_suhendra last updated on 20/Jan/17 $$\left(\mathrm{1a}\right)\:\mathrm{1}\:\mathrm{atm}=\mathrm{760}\:\mathrm{mmHg} \\ $$$$\:\:\:\:\:\:\:\:\:\:\mathrm{30}\:\mathrm{mmHg}=\frac{\mathrm{30}}{\mathrm{760}}\:\mathrm{atm}=\mathrm{0}.\mathrm{0395}\:\mathrm{atm} \\ $$$$\left(\mathrm{1b}\right)\:\mathrm{1}\:\mathrm{torr}=\mathrm{1}\:\mathrm{mmHg} \\ $$$$\:\:\:\:\:\:\:\:\:\:\mathrm{30}\:\mathrm{mmHg}=\mathrm{30}\:\mathrm{torr}…
Question Number 75512 by Master last updated on 12/Dec/19 Commented by MJS last updated on 12/Dec/19 $$\mathrm{this}\:\mathrm{is}\:\mathrm{a}\:\mathrm{standard}\:\mathrm{integral};\:\mathrm{you}\:\mathrm{can}\:\mathrm{find}\:\mathrm{it}\:\mathrm{on} \\ $$$$\mathrm{any}\:\mathrm{table}\:\mathrm{of}\:\mathrm{integrals} \\ $$ Commented by JDamian last…
Question Number 9977 by konen last updated on 20/Jan/17 Answered by sandy_suhendra last updated on 20/Jan/17 $$\mathrm{log}_{\mathrm{3}^{\mathrm{2}} } \:\left(\mathrm{x}−\mathrm{6}\right)^{\mathrm{2}} \:=\:\mathrm{log}_{\mathrm{9}} \:\left(\mathrm{x}−\mathrm{8}\right) \\ $$$$\left(\mathrm{x}−\mathrm{6}\right)^{\mathrm{2}} =\mathrm{x}−\mathrm{8} \\…
Question Number 141050 by mathsuji last updated on 15/May/21 Answered by MJS_new last updated on 15/May/21 $$\sqrt{{p}}+\sqrt{{q}}=\sqrt{{r}} \\ $$$${p}+{q}+\mathrm{2}\sqrt{{pq}}={r} \\ $$$$\mathrm{2}\sqrt{{pq}}={r}−\left({p}+{q}\right) \\ $$$$\mathrm{4}{pq}=\left({r}−\left({p}+{q}\right)\right)^{\mathrm{2}} \\ $$$${p}^{\mathrm{2}}…
Question Number 9976 by konen last updated on 20/Jan/17 $$\mathrm{a}^{\mathrm{2}} +\mathrm{b}^{\mathrm{2}} +\mathrm{4a}+\mathrm{6b}+\mathrm{13}=\mathrm{0}\:\: \\ $$$$\Rightarrow\:\mathrm{a}+\mathrm{b}=? \\ $$ Answered by prakash jain last updated on 20/Jan/17 $${a}^{\mathrm{2}}…
Question Number 141045 by BHOOPENDRA last updated on 15/May/21 Commented by mr W last updated on 15/May/21 $${search}\:{your}\:{own}\:{posts}\:{using}\:“{my}\:{posts}'', \\ $$$${you}\:{will}\:{find}\:{the}\:{old}\:{post}. \\ $$ Commented by mr…
Question Number 9975 by Tawakalitu ayo mi last updated on 19/Jan/17 $$\int_{\:−\mathrm{2}\:} ^{\:−\mathrm{1}} \left(\frac{\mathrm{1}}{\mathrm{x}}\right)\:\mathrm{dx} \\ $$ Commented by prakash jain last updated on 20/Jan/17 $$\int\frac{\mathrm{1}}{{x}}{dx}=\mathrm{ln}\:{x}…
Question Number 75509 by ~blr237~ last updated on 12/Dec/19 $$\mathrm{Give}\:\mathrm{the}\:\mathrm{exponentional}\:\mathrm{form}\:\mathrm{of}\: \\ $$$$\mathrm{the}\:\mathrm{complex}\:\mathrm{Z}=\frac{\mathrm{1}−\mathrm{cos}\theta+\mathrm{itan}\theta}{\mathrm{1}+\mathrm{cos}\theta−\mathrm{isin}\theta} \\ $$ Answered by MJS last updated on 12/Dec/19 $$\frac{\mathrm{1}−{c}+\mathrm{i}{t}}{\mathrm{1}+{c}−\mathrm{i}{s}}=\frac{{c}^{\mathrm{2}} −\mathrm{2}{c}−{st}+\mathrm{1}}{{c}^{\mathrm{2}} −\mathrm{2}{c}+{s}^{\mathrm{2}} +\mathrm{1}}−\frac{{cs}+{ct}−{s}−{t}}{{c}^{\mathrm{2}}…
Question Number 9970 by Tawakalitu ayo mi last updated on 19/Jan/17 Answered by mrW1 last updated on 19/Jan/17 $${the}\:{result}\:{is}\:{a}\:{zero}\:{vector}\:{or}\:{null}\:{vector}\:\left(\overset{\rightarrow} {\mathrm{0}}\right). \\ $$$${a}\:{zero}\:{or}\:{null}\:{vector}\:{has}\:{no}\:{magnitude}. \\ $$ Commented…
Question Number 75504 by mathocean1 last updated on 12/Dec/19 $$\mathrm{please}\:\mathrm{sirs}\:\mathrm{i}\:\mathrm{would}\:\mathrm{like}\:\mathrm{that}\:\mathrm{you}\:\mathrm{help}\:\mathrm{me}\:\mathrm{to} \\ $$$$\mathrm{show}\:\mathrm{this}: \\ $$$$\mathrm{sin}\left(\frac{\pi}{\mathrm{3}}+\mathrm{x}\right)\mathrm{sin}\left(\frac{\pi}{\mathrm{3}\:}−\mathrm{x}\right)=\frac{\mathrm{3}}{\mathrm{4}}−\mathrm{sin}^{\mathrm{2}} \mathrm{x} \\ $$ Answered by som(math1967) last updated on 12/Dec/19 $${sin}\left(\frac{\pi}{\mathrm{3}}\:+{x}\right){sin}\left(\frac{\pi}{\mathrm{3}}−{x}\right)…