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Author: Tinku Tara

0-pi-2-dx-1-sin-x-

Question Number 191519 by Acem last updated on 25/Apr/23 $$\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \:\frac{{dx}}{\mathrm{1}+\:\mathrm{sin}\:{x}} \\ $$ Answered by BaliramKumar last updated on 25/Apr/23 $$\frac{\mathrm{1}\left(\mathrm{1}−\mathrm{sinx}\right)}{\left(\mathrm{1}+\mathrm{sinx}\right)\left(\mathrm{1}−\mathrm{sinx}\right)}\:=\:\frac{\mathrm{1}−\mathrm{sinx}}{\mathrm{cos}^{\mathrm{2}} \mathrm{x}} \\ $$$$\int_{\mathrm{0}}…

Question-125981

Question Number 125981 by 0731619177 last updated on 16/Dec/20 Answered by snipers237 last updated on 16/Dec/20 $${That}\:{is}\:{still}\:{equal}\:{to}\: \\ $$$${A}=\int\int\int_{{D}} \sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} }\:{dxdydz} \\ $$$${with}\:{D}=\left\{\left({x},{y},{z}\right)/\:\:\mid{y}\mid\leqslant\mathrm{3}\:,\mid{x}\mid\leqslant\sqrt{\mathrm{9}−{y}^{\mathrm{2}}…

Q-the-equation-cos-4x-m-cos-2x-has-no-solution-x-0-pi-2-find-the-acceptable-real-values-for-m-

Question Number 191512 by mnjuly1970 last updated on 25/Apr/23 $$ \\ $$$$\:\:\:\:\:{Q}:\:\:\:\:\:\:\:{the}\:{equation}\: \\ $$$$\:\:\:\: \\ $$$$\:\:\:\lfloor\:\mathrm{cos}\left(\mathrm{4}{x}\:\right)\rfloor={m}.\mathrm{cos}\left(\mathrm{2}{x}\right) \\ $$$$\:\:\:{has}\:{no}\:\:{solution}\:.\:\:{x}\in\:\left(\mathrm{0},\:\frac{\pi}{\mathrm{2}}\:\right) \\ $$$$\:\:\:\:{find}\:{the}\:{acceptable} \\ $$$$\:\:\:\:\:\:\:{real}\:{values}\:{for}\:\:\:\:''{m}''. \\ $$ Answered…

If-a-sum-of-money-doubles-itself-in-a-time-T-when-compounded-continuously-find-the-rate-of-interest-in-terms-of-T-

Question Number 60441 by ajfour last updated on 21/May/19 $$\mathrm{If}\:\mathrm{a}\:\mathrm{sum}\:\mathrm{of}\:\:\mathrm{money}\:\mathrm{doubles}\:\mathrm{itself} \\ $$$$\mathrm{in}\:\mathrm{a}\:\mathrm{time}\:\mathrm{T},\:\mathrm{when}\:\mathrm{compounded} \\ $$$$\mathrm{continuously},\:\mathrm{find}\:\mathrm{the}\:\mathrm{rate}\:\mathrm{of} \\ $$$$\mathrm{interest},\:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{T}. \\ $$ Answered by tanmay last updated on 21/May/19…