Question Number 3298 by prakash jain last updated on 09/Dec/15 $$\mathrm{Prove} \\ $$$$\underset{{i}=\mathrm{2}} {\overset{\infty} {\prod}}\left(\mathrm{1}−\frac{\mathrm{1}}{{i}^{\mathrm{2}} }\right)=\frac{\mathrm{1}}{\mathrm{2}} \\ $$ Commented by 123456 last updated on 10/Dec/15…
Question Number 3297 by prakash jain last updated on 09/Dec/15 $$\mathrm{Is}\:\mathrm{the}\:\mathrm{following}\:\mathrm{series}\:\mathrm{convergent} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{\left(\mathrm{ln}\:{n}\right)^{\mathrm{ln}\left(\mathrm{ln}\:{n}\right)} } \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 134370 by Eric002 last updated on 03/Mar/21 Commented by Eric002 last updated on 02/Mar/21 $${find}\:{io}\:{and}\:{vo} \\ $$ Answered by Eric002 last updated on…
Question Number 3296 by prakash jain last updated on 09/Dec/15 $$\mathrm{If}\:{n},{p},{q}\in\mathbb{Z}^{+} \:\mathrm{and}\:{p}\:\mathrm{and}\:{q}\:\mathrm{are}\:\mathrm{coprimes}, \\ $$$$\mathrm{then}\:\mathrm{prove}\:\mathrm{that}\:\mathrm{HCF}\:\mathrm{of}\:\left({n}^{{p}} −\mathrm{1}\right)\:\mathrm{and}\:\left({n}^{{q}} −\mathrm{1}\right)\:\mathrm{is}\:\left({n}−\mathrm{1}\right). \\ $$$$\mathrm{Assume}\:{n}>\mathrm{1}. \\ $$ Commented by Rasheed Soomro last…
Question Number 68830 by Rio Michael last updated on 15/Sep/19 $${please}\:{can}\:{someone}\:{check}\:{question}\:\:\:\mathrm{68728} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 68831 by Maclaurin Stickker last updated on 15/Sep/19 $$\mathrm{The}\:\mathrm{square}\:{ABCD}\:\mathrm{has}\:\mathrm{side}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{1} \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{distance}\:{AP}\:\:\mathrm{is}\:\:\frac{\mathrm{1}}{\mathrm{8}}. \\ $$$$\mathrm{Calculate}\:\mathrm{the}\:\mathrm{side}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equilateral} \\ $$$$\mathrm{triangle}\:{PMN}\:\mathrm{inscribed}\:\mathrm{in}\:\mathrm{the}\:\mathrm{square}. \\ $$ Commented by Maclaurin Stickker last updated…
Question Number 3291 by Rasheed Soomro last updated on 09/Dec/15 $$\mathcal{A}\:{curve}\:{is}\:{defined}\:\:{by}\:{f}\left({x}\right).\mathcal{W}{hat}\:{is}\:{the}\:{length} \\ $$$${of}\:{curve}\:{from}\:{x}={a}\:\:{to}\:\:{x}={b}\:? \\ $$ Answered by 123456 last updated on 09/Dec/15 $$\mathrm{if}\:{f}\:\mathrm{is}\:\mathrm{differentiable} \\ $$$$\underset{{a}}…
Question Number 68825 by peter frank last updated on 15/Sep/19 Answered by mind is power last updated on 16/Sep/19 $${dx}\left(\mathrm{1}+{e}^{\frac{{x}}{{y}}} \right)+{e}^{\frac{{x}}{{y}}} \left(\mathrm{1}−\frac{{x}}{{y}}\right){dy} \\ $$$${p}=\mathrm{1}+{e}^{\frac{{x}}{{y}}} \\…
Question Number 3280 by Filup last updated on 09/Dec/15 $$\mathrm{For}\:\mathrm{a}\:\mathrm{triangle}\:\mathrm{with}\:\mathrm{perpandicular} \\ $$$$\mathrm{height}\:{h}\:\mathrm{and}\:\mathrm{base}\:\mathrm{length}\:{b},\:\mathrm{the}\: \\ $$$$\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{triangle}\:\mathrm{is}\:\mathrm{given}\:\mathrm{by}: \\ $$$${A}=\frac{\mathrm{1}}{\mathrm{2}}{hb} \\ $$$$ \\ $$$$\mathrm{Why}\:\mathrm{is}\:\mathrm{this}\:\mathrm{the}\:\mathrm{case}? \\ $$$$\mathrm{I}\:\mathrm{understand}\:\mathrm{that}\:\mathrm{two}\:\mathrm{identicle}\:\mathrm{triangles} \\ $$$$\mathrm{can}\:\mathrm{construct}\:\mathrm{a}\:{rectangle},\:\mathrm{so}\:\mathrm{the}\:\mathrm{area} \\…
Question Number 3275 by Filup last updated on 09/Dec/15 $$\mathrm{Prove}\:\mathrm{to}\:\mathrm{me}\:\mathrm{that}\:\mathrm{2}\:\mathrm{is}\:\mathrm{the}\:{only}\:\mathrm{even} \\ $$$$\mathrm{prime}\:\mathrm{number} \\ $$ Commented by Filup last updated on 09/Dec/15 $$\mathrm{For}\:\mathrm{prime}\:{P}\in\mathbb{P} \\ $$$$\mathrm{if}\:\:{P}=\frac{{x}}{{y}} \\…