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Question Number 126615 by mohammad17 last updated on 22/Dec/20 $$\int{xtan}^{−\mathrm{1}} \left({lnx}\right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 126610 by bramlexs22 last updated on 22/Dec/20 $$\:{Given}\:\begin{cases}{\mathrm{cos}\:{x}+\mathrm{sin}\:{x}={p}}\\{\mathrm{sec}\:{x}+\mathrm{csc}\:{x}\:=\:{q}\:\:}\end{cases} \\ $$$$\:{p}\neq{q}\:.\:{Find}\:\frac{\mathrm{cos}\:^{\mathrm{2}} {x}}{\mathrm{2}−\mathrm{2sin}\:^{\mathrm{2}} {x}−\mathrm{cs}{c}^{\mathrm{2}} \:{x}\:}\:. \\ $$ Answered by liberty last updated on 22/Dec/20 $$\:{q}\:=\:\left(\frac{\mathrm{cos}\:{x}+\mathrm{sin}\:{x}}{\mathrm{cos}\:{x}\:\mathrm{sin}\:{x}}\right)\Rightarrow{q}^{\mathrm{2}}…
Question Number 126609 by abdullahquwatan last updated on 22/Dec/20 $$\mathrm{cube}\:\mathrm{ABCD}.\mathrm{EFGH}\:{side}\:\mathrm{4}\:{cm}\:{point}\:{P}\:{is}\:{center}\:{BF}\:{and}\:{Q}\:{center}\:{AD}.\:{distance}\:{E}\:{to}\:{PQG} \\ $$ Answered by liberty last updated on 22/Dec/20 $${the}\:{equation}\:{of}\:{plane}\:{passes}\:{trought} \\ $$$${P}\left(\mathrm{4},\mathrm{4},\mathrm{2}\right),{Q}\left(\mathrm{2},\mathrm{0},\mathrm{0}\right),{G}\left(\mathrm{0},\mathrm{4},\mathrm{4}\right) \\ $$$$\Rightarrow\:\begin{vmatrix}{{x}−\mathrm{2}\:\:\:\:\:\:\:{y}\:\:\:\:\:\:\:\:\:\:{z}}\\{−\mathrm{2}\:\:\:\:\:\:\:\:\:\:\mathrm{4}\:\:\:\:\:\:\:\:\:\mathrm{4}}\\{\:\:\:\:\mathrm{2}\:\:\:\:\:\:\:\:\:\:\mathrm{4}\:\:\:\:\:\:\:\:\:\:\mathrm{2}}\end{vmatrix}=\:\mathrm{0} \\…
Question Number 126607 by shaker last updated on 22/Dec/20 Answered by Olaf last updated on 22/Dec/20 $$\underset{\infty} {\sim}\:\frac{{x}^{\mathrm{1}+\mathrm{2}+\mathrm{3}+…+{n}} }{\left[\left({nx}\right)^{{n}} \right]^{\frac{{n}+\mathrm{1}}{\mathrm{2}}} }\:=\:\frac{{x}^{\frac{{n}\left({n}+\mathrm{1}\right)}{\mathrm{2}}} }{{n}^{\frac{{n}\left({n}+\mathrm{1}\right)}{\mathrm{2}}} {x}^{\frac{{n}\left({n}+\mathrm{1}\right)}{\mathrm{2}}} }\:=\:\frac{\mathrm{1}}{{n}^{\frac{{n}\left({n}+\mathrm{1}\right)}{\mathrm{2}}} }…
Question Number 192143 by Shrinava last updated on 09/May/23 $$\mathrm{Find}: \\ $$$$\frac{\mathrm{7}}{\mathrm{2}}\:+\:\frac{\mathrm{77}}{\mathrm{22}}\:+\:\frac{\mathrm{777}}{\mathrm{222}}\:+\:\frac{\mathrm{7777}}{\mathrm{2222}}\:+…+\:\frac{\mathrm{77777777}}{\mathrm{22222222}} \\ $$ Commented by AST last updated on 09/May/23 $$=\frac{\mathrm{7}}{\mathrm{2}}×\mathrm{8}=\mathrm{28} \\ $$ Commented…
Question Number 126604 by bramlexs22 last updated on 22/Dec/20 $$\:\int\:\frac{{dx}}{\left(\mathrm{1}−{x}^{\mathrm{2}} \right)\:\sqrt[{\mathrm{4}}]{\mathrm{2}{x}^{\mathrm{2}} −\mathrm{1}}}\:? \\ $$ Answered by liberty last updated on 22/Dec/20 $${Y}=\int\:\frac{\left(\mathrm{1}−{x}^{\mathrm{2}} \right)}{\left(\mathrm{1}−{x}^{\mathrm{2}} \right)^{\mathrm{2}} \:\sqrt[{\mathrm{4}}]{\mathrm{2}{x}^{\mathrm{2}}…
Question Number 61069 by aanur last updated on 28/May/19 Commented by aanur last updated on 28/May/19 $${Find}\:{S}\mathrm{20}^{} \\ $$$${Could}\:{you}\:{help}\:{me}\:{sir} \\ $$ Commented by kaivan.ahmadi last…
Question Number 192142 by mehdee42 last updated on 09/May/23 $${Question} \\ $$$${let}\:\:\:{x}=<{a}_{{n}} {a}_{{n}−\mathrm{1}} …{a}_{\mathrm{1}} {a}_{\mathrm{0}} >\:\in\mathbb{N}\:;\:{a}_{\mathrm{0}} \neq\mathrm{0}\:\:\&\: \\ $$$$\:{y}=<{a}_{{n}} {a}_{{n}−\mathrm{1}} …{a}_{\mathrm{1}} >\:\in\mathbb{N}\:\:{be}\: \\ $$$${two}\:{natural}\:{numbers}\: \\…
Question Number 126605 by bramlexs22 last updated on 22/Dec/20 $$\:{Let}\:{P}\:{be}\:{point}\:{on}\:{the}\:{graph}\: \\ $$$${of}\:{a}\:{straight}\:{line}\:{y}=\mathrm{2}{x}−\mathrm{3}\:{and}\:{Q} \\ $$$${be}\:{a}\:{point}\:{on}\:{the}\:{graph}\:{of}\:{a}\:{parabola} \\ $$$${y}={x}^{\mathrm{2}} +{x}+\mathrm{1}\:.{Find}\:{the}\:{shortest}\: \\ $$$${distance}\:{between}\:{P}\:{and}\:{Q}\:. \\ $$ Answered by liberty last…