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Author: Tinku Tara

Question-7360

Question Number 7360 by rohit meena last updated on 24/Aug/16 Answered by Rasheed Soomro last updated on 25/Aug/16 $$\left(\mathrm{3}\right) \\ $$$$\:\:\:\:\:\:\:\left(\mathrm{4}−{k}\right){x}^{\mathrm{2}} +\mathrm{2}\left({k}+\mathrm{2}\right){x}+\mathrm{8}{k}+\mathrm{1} \\ $$$${The}\:{value}\:{of}\:\:{k},{for}\:{which}\:{the}\:{above} \\…

Question-72894

Question Number 72894 by TawaTawa last updated on 04/Nov/19 Answered by mind is power last updated on 04/Nov/19 $$\mathrm{lets}\:\mathrm{assum}\:\mathrm{n},\mathrm{m}\:\mathrm{are}\:\mathrm{relativ}\:\mathrm{prime} \\ $$$$ \\ $$$$\mathrm{let}\:\mathrm{N}=\mathrm{p}_{\mathrm{1}} ^{\mathrm{k1}} .\mathrm{p}_{\mathrm{2}}…

1-3-e-x-sin-x-x-2-1-dx-pi-12e-

Question Number 138424 by tugu last updated on 13/Apr/21 $$\mid\underset{\mathrm{1}} {\overset{\sqrt{\mathrm{3}}} {\int}}\:\frac{{e}^{−{x}} {sin}\:{x}}{{x}^{\mathrm{2}} +\mathrm{1}}{dx}\mid\leqslant\frac{\pi}{\mathrm{12}{e}} \\ $$ Commented by mitica last updated on 14/Apr/21 $$\exists{c}\in\left[\mathrm{1},\sqrt{\mathrm{3}}\right],\underset{\mathrm{1}} {\overset{\sqrt{\mathrm{3}}}…

let-f-x-pi-6-pi-4-tant-2-x-cost-dt-with-x-real-1-determine-a-explicit-form-for-f-x-2-determine-also-g-x-pi-6-pi-4-tant-2-xcost-2-dx-3-find-the-value-of-pi-6-pi-4-

Question Number 72888 by mathmax by abdo last updated on 04/Nov/19 $${let}\:{f}\left({x}\right)=\int_{\frac{\pi}{\mathrm{6}}} ^{\frac{\pi}{\mathrm{4}}} \:\:\frac{{tant}}{\mathrm{2}+{x}\:{cost}}{dt}\:\:{with}\:{x}\:{real} \\ $$$$\left.\mathrm{1}\right){determine}\:{a}\:{explicit}\:{form}\:{for}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right){determine}\:{also}\:{g}\left({x}\right)=\int_{\frac{\pi}{\mathrm{6}}} ^{\frac{\pi}{\mathrm{4}}} \:\:\frac{{tant}}{\left(\mathrm{2}+{xcost}\right)^{\mathrm{2}} }{dx} \\ $$$$\left.\mathrm{3}\right)\:{find}\:{the}\:{value}\:{of}\:\int_{\frac{\pi}{\mathrm{6}}} ^{\frac{\pi}{\mathrm{4}}} \:\:\frac{{tant}}{\left(\mathrm{2}+\mathrm{3}{cost}\right)}{dt}\:{and}\:\int_{\frac{\pi}{\mathrm{6}}}…

let-w-f-x-y-be-a-differentiable-function-where-x-rcos-and-y-rsin-show-that-f-x-2-f-y-2-w-x-2-1-r-2-w-y-2-help-me-sir-

Question Number 72886 by mhmd last updated on 04/Nov/19 $${let}\:{w}={f}\left({x},\:{y}\right)\:{be}\:{a}\:{differentiable}\:{function}\:{where}\:{x}={rcos}\theta\:{and}\:{y}={rsin}\theta\:{show}\:{that}\:\left({f}_{{x}} \right)^{\mathrm{2}} +\left({f}_{{y}} \right)^{\mathrm{2}} =\left({w}_{{x}} \right)^{\mathrm{2}} +\mathrm{1}/{r}^{\mathrm{2}} \left({w}_{{y}} \right)^{\mathrm{2}} ? \\ $$$${help}\:{me}\:{sir}\: \\ $$ Answered by…

find-the-area-of-the-region-bounded-by-the-semicircle-y-a-2-x-2-and-the-x-a-and-the-line-y-a-by-using-intigiral-pleas-sir-help-me-

Question Number 72884 by mhmd last updated on 04/Nov/19 $${find}\:{the}\:{area}\:{of}\:{the}\:{region}\:{bounded}\:{by}\:{the}\:{semicircle}\:{y}=\sqrt{{a}^{\mathrm{2}} −{x}^{\mathrm{2}} }\:{and}\:{the}\:{x}=+−{a}\:\:{and}\:{the}\:{line}\:{y}=−{a}\:?\:{by}\:{using}\:{intigiral} \\ $$$${pleas}\:{sir}\:{help}\:{me} \\ $$ Commented by kaivan.ahmadi last updated on 04/Nov/19 $$\int_{−{a}} ^{{a}}…