Question Number 67413 by ozodbek last updated on 27/Aug/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 1839 by RasheedAhmad last updated on 11/Oct/15 $${Sum}\:{to}\:{n}\:{terms}\:{the}\:{series}: \\ $$$$\mathrm{0}\centerdot\mathrm{3}+\mathrm{0}\centerdot\mathrm{33}+\mathrm{0}\centerdot\mathrm{333}+… \\ $$$$ \\ $$ Answered by 112358 last updated on 12/Oct/15 $${We}\:{may}\:{begin}\:{by}\:{searching}\:{for} \\…
Question Number 1838 by 112358 last updated on 11/Oct/15 $${Show}\:{that} \\ $$$$\left(\mathrm{1}\right)\:\frac{\mathrm{1}}{{sinz}}=\frac{\mathrm{1}}{{z}}+\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{n}} \left(\frac{\mathrm{1}}{{z}+{n}\pi}+\frac{\mathrm{1}}{{z}−{n}\pi}\right) \\ $$$$\left(\mathrm{2}\right)\:{cotz}=\frac{\mathrm{1}}{{z}}+\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(\frac{\mathrm{1}}{{z}+{n}\pi}+\frac{\mathrm{1}}{{z}−{n}\pi}\right) \\ $$$${where}\:{z}\neq{m}\pi,\:{m}\in\mathbb{Z}\:,\:{given}\:{the}\:{fact}\:{that} \\ $$$${cosax}=\frac{\mathrm{2}{sina}\pi}{\pi}\left[\frac{\mathrm{1}}{\mathrm{2}{a}}+\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(\frac{\left(−\mathrm{1}\right)^{{n}}…
Question Number 67371 by TawaTawa last updated on 26/Aug/19 Answered by mind is power last updated on 26/Aug/19 $${a}^{\mathrm{2}} \mathrm{3}{b}={b}^{\mathrm{3}} +\mathrm{9}\sqrt{\mathrm{3}}…\mathrm{1} \\ $$$${b}^{\mathrm{2}} \mathrm{3}{a}={a}^{\mathrm{3}} −\mathrm{10}….\mathrm{2}…
Question Number 132900 by aurpeyz last updated on 17/Feb/21 $${a}\:{pinhole}\:{camera}\:{is}\:{placed}\:\mathrm{300}{cm} \\ $$$${in}\:{front}\:{of}\:{a}\:{building}\:{so}\:{that}\:{the}\:{image} \\ $$$${is}\:{formed}\:{on}\:{a}\:{screen}\:\mathrm{5}{cm}\:{from}\:{the} \\ $$$${pin}\:{hole}.\:{if}\:{the}\:{image}\:{is}\:\mathrm{2}.\mathrm{5}{cm}\:{high}. \\ $$$${the}\:{height}\:{of}\:{the}\:{building}\:{will}\:{be}? \\ $$ Commented by mr W last…
Question Number 1828 by Filup last updated on 07/Oct/15 $$\mathrm{Solve}\:\mathrm{for}\:{a}\:\mathrm{and}\:\mathrm{explain}\:\mathrm{your}\:\mathrm{working} \\ $$$${a}={e}^{{a}} \\ $$ Commented by Alejandro Prieto last updated on 14/Oct/15 $$\mathrm{Gr}\acute {\mathrm{a}ficamente}\:\mathrm{podr}\acute {\mathrm{i}a}\:\mathrm{verse}\:\mathrm{que}\:\mathrm{las}\:\mathrm{funciones}…
Question Number 67337 by ajfour last updated on 25/Aug/19 $${m}\left({p}+\mathrm{1}\right)={a} \\ $$$$\frac{{q}\left({p}+\mathrm{1}\right)}{{r}+\mathrm{1}}={b}\:\:\&\:\:\frac{{p}\left({p}+\mathrm{1}\right)}{{q}+\mathrm{1}}={c} \\ $$$${and}\:\:\frac{{r}\left({p}+\mathrm{1}\right)}{{m}+\mathrm{1}}={d} \\ $$$${find}\:{either}\:{of}\:{p},{q},{r},{m}\:{in}\:{terms}\:{of} \\ $$$${a},{b},{c},{d}. \\ $$ Answered by mr W last…
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 1797 by 112358 last updated on 29/Sep/15 $${Let}\:{f}\:{be}\:{a}\:{function}\:{defined}\:{on} \\ $$$${the}\:{domain}\:{D}_{{f}} =\mathbb{C}\:{and}\:{f}\left({z}\right)={cosz} \\ $$$${for}\:{z}\in{D}_{{f}} \:.\:{Is}\:{f}\left({z}\right)\:{a}\:{member} \\ $$$${of}\:\mathbb{C}?\:{Compute}\:{for}\:{example} \\ $$$${f}\left(\mathrm{2}+\mathrm{6}{i}\right). \\ $$$$ \\ $$ Answered…
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)…