Question Number 155056 by mathdanisur last updated on 24/Sep/21 Answered by mr W last updated on 24/Sep/21 $${BF}^{\mathrm{2}} ={AB}^{\mathrm{2}} +\left(\sqrt{\mathrm{2}}{AC}\right)^{\mathrm{2}} +\mathrm{2}×{AB}×\sqrt{\mathrm{2}}{AC}×\mathrm{cos}\:\left({A}+\frac{\pi}{\mathrm{4}}\right)\:\:\:..\left({i}\right) \\ $$$${CD}^{\mathrm{2}} ={AC}^{\mathrm{2}} +\left(\sqrt{\mathrm{2}}{AB}\right)^{\mathrm{2}}…
Question Number 23968 by Tinkutara last updated on 10/Nov/17 $${Prove}\:{that}\:{n}\:{and}\:\mathrm{2}{n}−\mathrm{1}\:{are}\:{coprime}. \\ $$ Commented by ajfour last updated on 10/Nov/17 $${thanks}. \\ $$ Commented by prakash…
Question Number 89505 by AnsarFawaz last updated on 17/Apr/20 Answered by TANMAY PANACEA. last updated on 17/Apr/20 $$\left.{i}\right){two}\:\:{at}\:+\infty\:\:{and}\:−\infty \\ $$$$\left.{ii}\right){one}\: \\ $$$$\left.{iii}\right){three} \\ $$ Terms…
Question Number 155036 by Mr.D.N. last updated on 24/Sep/21 $$\:\mathrm{If}\:\:\boldsymbol{\mathrm{a}}^{\boldsymbol{\mathrm{b}}} =\boldsymbol{\mathrm{b}}^{\boldsymbol{\mathrm{a}}} \:\mathrm{and}\:\boldsymbol{\mathrm{a}}=\mathrm{2}\boldsymbol{\mathrm{b}}\:\mathrm{then}\:\mathrm{find}\:\mathrm{the}\: \\ $$$$\:\:\mathrm{value}\:\mathrm{of}\:\boldsymbol{\mathrm{a}}^{\mathrm{2}} +\boldsymbol{\mathrm{b}}^{\mathrm{2}} \:? \\ $$ Answered by Rasheed.Sindhi last updated on 24/Sep/21…
Question Number 23953 by NECx last updated on 10/Nov/17 $${find}\:{the}\:{nth}\:{term}\:{of}\:{the}\:{sequence} \\ $$$$\mathrm{4},\:\mathrm{9},\:\mathrm{16},\:\mathrm{45},\:\mathrm{76} \\ $$$$ \\ $$$${please}\:{help} \\ $$ Commented by prakash jain last updated on…
Question Number 155023 by ajfour last updated on 24/Sep/21 Commented by ajfour last updated on 24/Sep/21 $${The}\:{blue}\:{area}\:{is}\:{equal}\:{to}\:{the} \\ $$$${brown}\:{area}.\:{Find}\:{x}\:{in}\:{terms} \\ $$$${of}\:{c}. \\ $$ Commented by…
Question Number 23928 by Tinkutara last updated on 10/Nov/17 $$\mathrm{Find}\:^{{n}} {C}_{\mathrm{1}} \:−\:\frac{\mathrm{1}}{\mathrm{2}}\:^{{n}} {C}_{\mathrm{2}} \:+\:\frac{\mathrm{1}}{\mathrm{3}}\:^{{n}} {C}_{\mathrm{3}} \:−\:….\:+ \\ $$$$\left(−\mathrm{1}\right)^{{n}−\mathrm{1}} \frac{\mathrm{1}}{{n}}\:\centerdot\:^{{n}} {C}_{{n}} . \\ $$ Commented by…
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Question Number 154994 by mathdanisur last updated on 24/Sep/21 $$\mathrm{Find} \\ $$$$\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:\mathrm{x}^{\mathrm{2}} \:\mathrm{tan}^{-\mathrm{1}} \left(\mathrm{2x}\right)\mathrm{ln}^{\mathrm{2}} \left(\mathrm{3x}\right)\mathrm{dx}=? \\ $$ Answered by phanphuoc last updated on…
Question Number 89454 by student work last updated on 17/Apr/20 Commented by Tony Lin last updated on 17/Apr/20 $$\mathrm{32}{mod}\mathrm{7}=\mathrm{4} \\ $$$$\mathrm{32}^{\mathrm{2}} {mod}\mathrm{7}=\mathrm{2} \\ $$$$\mathrm{32}^{\mathrm{3}} {mod}\mathrm{7}=\mathrm{1}…