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Question-110528

Question Number 110528 by mathdave last updated on 29/Aug/20 Answered by nimnim last updated on 29/Aug/20 $$\int\left[\frac{\mathrm{2}}{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}−\frac{\mathrm{7}}{\mathrm{x}^{\mathrm{2}} +\mathrm{2}}+\frac{\mathrm{6}}{\mathrm{x}^{\mathrm{2}} +\mathrm{3}}\right]\mathrm{dx} \\ $$$$…… \\ $$$$……. \\…

Three-bags-labelled-R-B-and-W-cotains-Red-Blue-and-White-balls-respectively-of-equal-sizes-the-ratio-of-the-balls-in-the-bag-are-R-B-2-3-and-B-W-4-5-All-the-balls-are-removed-into-a-big

Question Number 176056 by otchereabdullai@gmail.com last updated on 11/Sep/22 $$\:\mathrm{Three}\:\mathrm{bags}\:\mathrm{labelled}\:\mathrm{R},\:\mathrm{B}\:\mathrm{and}\:\mathrm{W}\: \\ $$$$\:\mathrm{cotains}\:\mathrm{Red},\:\mathrm{Blue}\:\mathrm{and}\:\mathrm{White}\:\mathrm{balls}\: \\ $$$$\:\mathrm{respectively}\:\mathrm{of}\:\mathrm{equal}\:\mathrm{sizes},\:\mathrm{the}\:\mathrm{ratio}\: \\ $$$$\:\mathrm{of}\:\mathrm{the}\:\mathrm{balls}\:\mathrm{in}\:\mathrm{the}\:\mathrm{bag}\:\mathrm{are}\:\:\mathrm{R}:\mathrm{B}=\mathrm{2}:\mathrm{3}\: \\ $$$$\mathrm{and}\:\mathrm{B}:\mathrm{W}=\:\mathrm{4}:\mathrm{5}.\:\mathrm{All}\:\mathrm{the}\:\mathrm{balls}\:\mathrm{are}\: \\ $$$$\mathrm{removed}\:\mathrm{into}\:\mathrm{a}\:\mathrm{big}\:\mathrm{bag}\:\mathrm{and}\:\mathrm{properly}\: \\ $$$$\mathrm{mixed}\:\mathrm{together}.\:\mathrm{If}\:\mathrm{two}\:\mathrm{balls}\:\mathrm{are}\:\mathrm{picked} \\ $$$$\mathrm{at}\:\mathrm{random}\:\mathrm{one}\:\mathrm{after}\:\mathrm{the}\:\mathrm{other}\:\mathrm{with}\: \\…

Question-44967

Question Number 44967 by peter frank last updated on 06/Oct/18 Answered by tanmay.chaudhury50@gmail.com last updated on 07/Oct/18 $${The}\:{language}\:{of}\:{problem}\:{is}\:{not}\:{clear}… \\ $$$${pls}\:{clarify}\:{the}\:{function}\:{of}\:{pipe}\:{P}\:{and}\:{its}\:{rate} \\ $$$${pipe}\:{Q}\:{and}\:{rate}\:\:\:{and}\:{pipe}\:{R}\:{and}\:{rate}… \\ $$$${by}\:{the}\:{way}..\:\:{if}\:{two}\:{pipe}\:{is}\:{present}\:{one}\:{fill}\:{the}\:{tank} \\…

Question-110503

Question Number 110503 by mohammad17 last updated on 29/Aug/20 Commented by Rio Michael last updated on 29/Aug/20 $${sorry}\:{sir}.\:{your}\:{answer}\:{wrong}.\:{check}\:{againt} \\ $$$$\mathrm{thank}\:\mathrm{you}. \\ $$$$\mathrm{thats}\:\mathrm{great}. \\ $$ Commented…

Find-all-continuous-real-function-f-such-that-f-ln-x-y-f-sin-xy-f-cos-y-x-for-all-x-y-R-

Question Number 110460 by ZiYangLee last updated on 29/Aug/20 $$\mathrm{Find}\:\mathrm{all}\:\mathrm{continuous}\:\mathrm{real}\:\mathrm{function}\:{f}\: \\ $$$$\mathrm{such}\:\mathrm{that}\: \\ $$$${f}\left(\mathrm{ln}\left({x}+{y}\right)\right)={f}\left(\mathrm{sin}\left({xy}\right)\right)+{f}\left(\mathrm{cos}\left({y}/{x}\right)\right) \\ $$$$\mathrm{for}\:\mathrm{all}\:{x},{y}\in\mathbb{R}^{+} . \\ $$ Terms of Service Privacy Policy Contact:…

please-calculate-I-0-pi-2-dx-1-tanx-2-J-0-pi-dx-a-2-cos-2-x-sin-2-x-K-0-pi-2-dx-3tanx-2-

Question Number 175987 by stelor last updated on 10/Sep/22 $${please}\:{calculate} \\ $$$${I}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{{dx}}{\mathrm{1}+\left({tanx}\right)^{\sqrt{\mathrm{2}}} } \\ $$$${J}=\int_{\mathrm{0}} ^{\pi} \frac{{dx}}{{a}^{\mathrm{2}} {cos}^{\mathrm{2}} {x}+{sin}^{\mathrm{2}} {x}} \\ $$$${K}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…