Question Number 67333 by mind is power last updated on 25/Aug/19 $${evaluate}\:\underset{{n}=\mathrm{0}} {\overset{+\infty} {\sum}}\frac{\mathrm{1}}{\left(\mathrm{1}+\mathrm{8}{n}\right)^{\mathrm{2}} } \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 1794 by Rasheed Soomro last updated on 29/Sep/15 $${Simplify} \\ $$$${log}_{\left(\mathrm{3}+\mathrm{4}{i}\right)} \left(−\mathrm{7}+\mathrm{24}{i}\right) \\ $$ Commented by 112358 last updated on 29/Sep/15 $${Define}\:{p}={log}_{\left(\mathrm{3}+\mathrm{4}{i}\right)} \left(−\mathrm{7}+\mathrm{24}{i}\right)…
Question Number 1793 by 112358 last updated on 29/Sep/15 $${Evaluate}\: \\ $$$$\:\:\:\:\:\:\:\:\int_{\mathrm{1}/\mathrm{2}} ^{\mathrm{2}} \frac{{sinx}}{{x}\left({sinx}+{sin}\frac{\mathrm{1}}{{x}}\right)}{dx}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 132866 by bramlexs22 last updated on 17/Feb/21 $$\mathrm{A}\:\mathrm{certain}\:\mathrm{person}'\mathrm{s}\:\mathrm{blood}\:\mathrm{preassure} \\ $$$$\mathrm{is}\:\mathrm{modelled}\:\mathrm{by}\:\mathrm{the}\:\mathrm{function} \\ $$$$\mathrm{p}\left(\mathrm{t}\right)=\mathrm{115}+\mathrm{25}\:\mathrm{sin}\:\left(\mathrm{160}\pi\mathrm{t}\right) \\ $$$$\mathrm{where}\:\mathrm{p}\left(\mathrm{t}\right)\:\mathrm{is}\:\mathrm{the}\:\mathrm{pressure}\:\mathrm{in}\:\mathrm{mmHg} \\ $$$$\mathrm{at}\:\mathrm{time}\:\mathrm{t}\:\mathrm{measured}\:\mathrm{in}\:\mathrm{minutes}. \\ $$$$\left(\mathrm{a}\right)\:\mathrm{Find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{heartbeats}\:\mathrm{per}\:\mathrm{minute} \\ $$$$\left(\mathrm{b}\right)\:\mathrm{Find}\:\mathrm{the}\:\mathrm{blood}\:\mathrm{preassure} \\ $$$$\mathrm{reading}.\:\mathrm{How}\:\mathrm{does}\:\mathrm{this}\:\mathrm{compare}\: \\…
Question Number 132861 by Dwaipayan Shikari last updated on 17/Feb/21 $$\int_{\mathrm{0}} ^{\infty} \frac{{cos}\left({x}\pi{t}\right)}{{cosh}\left(\pi{x}\right)}{e}^{−\pi^{\mathrm{2}} {x}} {dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 1791 by RasheedAhmad last updated on 29/Sep/15 $${Simplify}\:: \\ $$$$\left(\mathrm{3}+\mathrm{4}{i}\right)^{\mathrm{3}−\mathrm{4}{i}} \\ $$ Commented by 112358 last updated on 29/Sep/15 $${Define}\:{z}=\left(\mathrm{3}+\mathrm{4}{i}\right)^{\mathrm{3}−\mathrm{4}{i}} \:{and}\:{w}=\mathrm{3}+\mathrm{4}{i}. \\ $$$$\mid{w}\mid=\sqrt{\mathrm{4}^{\mathrm{2}}…
Question Number 1789 by 112358 last updated on 26/Sep/15 $${If}\:\mid{r}\mid\neq\mathrm{1},\:{find}\:{an}\:{expression}\:{for} \\ $$$${T}_{{n}} \left({r}\right),\:{where}\: \\ $$$${T}_{{n}} \left({r}\right)=\mathrm{1}+{r}^{\mathrm{2}} +{r}^{\mathrm{3}} +{r}^{\mathrm{4}} +{r}^{\mathrm{6}} +{r}^{\mathrm{8}} +{r}^{\mathrm{9}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+{r}^{\mathrm{10}} +{r}^{\mathrm{12}} +{r}^{\mathrm{14}}…
Question Number 1788 by 112358 last updated on 26/Sep/15 $${Find}\:{the}\:{value}\:{of}\:{Q}\:{if}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:{Q}=\int_{\mathrm{0}} ^{\:\pi/\mathrm{2}} {ln}\left(\frac{\mathrm{1}+{sinx}}{\mathrm{1}+{cosx}}\right){dx}\:. \\ $$$$ \\ $$ Commented by John_Haha last updated on 21/Nov/15…
Question Number 132856 by bramlexs22 last updated on 17/Feb/21 $$\mathrm{Given}\:\mathrm{vector}\:\overset{\rightarrow} {{a}}\:=\:\hat {\mathrm{i}}+\hat {\mathrm{j}}+\hat {\mathrm{k}}\:,\:\overset{\rightarrow} {\mathrm{c}}=\hat {\mathrm{j}}−\hat {\mathrm{k}}\:; \\ $$$$\:\overset{\rightarrow} {\mathrm{a}}\:×\:\overset{\rightarrow} {\mathrm{b}}\:=\:\overset{\rightarrow} {\mathrm{c}}\:\mathrm{and}\:\overset{\rightarrow} {\mathrm{a}}.\overset{\rightarrow} {\mathrm{b}}\:=\:\mathrm{3}\:\mathrm{then}\:\mid\overset{\rightarrow} {\mathrm{b}}\mid\:=\:?…
Question Number 1784 by 112358 last updated on 25/Sep/15 $${Find}\:{the}\:{sum}\:{of}\:{the}\:{series}\: \\ $$$$\mathrm{1}^{\mathrm{3}} −\mathrm{2}^{\mathrm{3}} +\mathrm{3}^{\mathrm{3}} −\mathrm{4}^{\mathrm{3}} +…+\left(\mathrm{2}{n}+\mathrm{1}\right)^{\mathrm{3}} \:. \\ $$ Answered by Rasheed Soomro last updated…