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Question Number 64541    Answers: 1   Comments: 0

$${lol}....{QUESTION}\:{OF}\:\:{THE}\:{DAY} \\ $$$$ \\ $$$${SHOW}\:{FULL}\:{WORKINGS} \\ $$$$ \\ $$$$\int{x}\left(\frac{\left(\mathrm{1}−{x}^{\mathrm{2}} \right){Ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)+\left(\mathrm{1}+{x}^{\mathrm{2}} \right)−\left(\mathrm{1}−{x}^{\mathrm{2}} \right){Ln}\left(\mathrm{1}−{x}^{\mathrm{2}} \right)}{\left(\mathrm{1}−{x}^{\mathrm{4}} \right)\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}\right){e}^{\frac{{x}^{\mathrm{2}} −\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{1}}} {dx} \\ $$

Question Number 64539    Answers: 1   Comments: 9

$${lim}_{{xat}\:\mathrm{0}} \left[{cos}^{\mathrm{2}} \left(\mathrm{4}{x}\right)\right]/{x}^{\mathrm{2}} \:\:−{lim}_{{x}\:{at}\:\mathrm{0}} \left[{cos}^{\mathrm{3}} \left(\mathrm{6}{x}\right)\right]/{x}^{\mathrm{2}} \\ $$

Question Number 64534    Answers: 0   Comments: 1

$${evalate}\:{y}=\:\mathrm{3}{e}^{\mathrm{4}{x}} \:−\:\frac{\mathrm{5}}{\mathrm{3}{e}^{\mathrm{3}{x}\:} }\:+\:\mathrm{4}{lin}\mathrm{2}{x}\:{at}\:\: \\ $$$${points}\:\left({a}\right)\:\left(\mathrm{0}\:\mathrm{4}\right)\:{and}\:\left(\mathrm{1}\:\mathrm{8}\right). \\ $$

Question Number 64533    Answers: 1   Comments: 0

$${Find}\:\:{all}\:\:{solutions}\:\:{of}\:\:{x}\:\:{real}\:\:{numbers}\:\:{such}\:\:{that} \\ $$$$\mathrm{2}{x}^{\mathrm{2}} \:−\:\mathrm{7}{x}\:+\:\mathrm{6}\:\:=\:\:\mathrm{15}\:\lfloor\frac{\mathrm{1}}{{x}}\rfloor\lfloor{x}\rfloor \\ $$

Question Number 64529    Answers: 0   Comments: 0

$${calculate}\:\:\int_{\mathrm{1}} ^{\mathrm{2}} \:\frac{{dx}}{\sqrt{{x}}}\:\:\:{by}\:{Rieman}\:{sum}. \\ $$

Question Number 64528    Answers: 0   Comments: 1

$${find}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{x}^{−{x}} {dx}\:\:\:{study}\:{first}\:{the}\:{convergence}. \\ $$

Question Number 64525    Answers: 0   Comments: 1

$${study}\:{the}\:{convergence}\:{of}\:\Sigma\:{U}_{{n}} \:\:\:{with} \\ $$$${U}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{cos}\left({nx}\right)}{{x}^{\mathrm{2}} \:+{n}^{\mathrm{2}} }{dx}\:\:\:\left({n}\geqslant\mathrm{1}\right) \\ $$

Question Number 64522    Answers: 1   Comments: 0

$${In}\:{a}\:{hospital},\:{Dr}\:{Steve}\:{has}\:{worked} \\ $$$${more}\:{night}\:{shifts}\:{than}\:{Dr}\:{Gregg}\:{who} \\ $$$${has}\:{worked}\:{five}\:{night}\:{shifts}.\:{Dr}\:{Okon} \\ $$$${has}\:{worked}\:\mathrm{15}\:{night}\:{shifts}\:{more}\:{than} \\ $$$${Dr}\:{Steve}\:{and}\:{Dr}\:{Gregg}\:{combined}. \\ $$$${Dr}.\:{Uche}\:{has}\:{worked}\:{eight}\:{night}\:{shifts} \\ $$$${less}\:{than}\:{Dr}\:{Steve}.{How}\:{many}\:{night} \\ $$$${shifts}\:{has}\:{Dr}.\:{Steve}\:{worked}? \\ $$$$\left.{a}\left.\right)\left.\mathrm{1}\left.\mathrm{0}\:{b}\right)\mathrm{9}\:{c}\right)\mathrm{8}\:{d}\right)\mathrm{7} \\ $$

Question Number 64519    Answers: 1   Comments: 0

$${a},{b},{c}\:{is}\:{a}\:{geometric}\:{progression}\:{such} \\ $$$${that} \\ $$$${a}+{b}+{c}=\mathrm{26} \\ $$$${a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} =\mathrm{364} \\ $$$$ \\ $$$${find}\:{a},{b},{c} \\ $$

Question Number 64516    Answers: 2   Comments: 5

Question Number 64514    Answers: 0   Comments: 2

$${y}={arc}\:{tan}\left[\sqrt{\frac{\mathrm{1}−{cosx}}{\mathrm{1}+{cosx}}}\right] \\ $$$${y}^{} =? \\ $$

Question Number 64498    Answers: 0   Comments: 0

$$\mathrm{please},\:\mathrm{anyone}\:\mathrm{help}\:\mathrm{me}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{this} \\ $$$$\mathrm{i}.\:\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{n}} {\sum}}\mathrm{cos}\left(\frac{\mathrm{k}^{\mathrm{2}} \pi}{\mathrm{n}}\right) \\ $$$$\mathrm{ii}.\:\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{n}} {\Sigma}}\mathrm{sin}\left(\frac{\mathrm{k}^{\mathrm{2}} \pi}{\mathrm{n}}\right) \\ $$$$\mathrm{thank}\:\mathrm{you}. \\ $$

Question Number 64508    Answers: 2   Comments: 1

$$\mathrm{factorize}\:\left(\mathrm{x}+\mathrm{1}\right)\left(\mathrm{x}+\mathrm{3}\right)\left(\mathrm{x}+\mathrm{5}\right)\left(\mathrm{x}+\mathrm{7}\right)+\mathrm{16} \\ $$

Question Number 64478    Answers: 1   Comments: 2

Question Number 64477    Answers: 0   Comments: 1

$${pls}\:\:{i}\:{need}\:{it}\:{urgently}...\:{am}\:{stuck} \\ $$$${workings}\:{please} \\ $$$$\left(\mathrm{1}\right)\:\:\int{Ln}\left(\mathrm{1}−{Lnx}\right){dx} \\ $$$$ \\ $$$$\left(\mathrm{2}\right)\:\:\int\frac{\mathrm{1}}{{Lnx}}{dx} \\ $$$$ \\ $$$$\left(\mathrm{3}\right)\int\:{Ln}\left(−\mathrm{2}{Lnx}\right){dx} \\ $$$$ \\ $$$${God}\:{will}\:{honour}\:{u}\:\mathrm{4}\:{ur}\:{replies} \\ $$

Question Number 64475    Answers: 2   Comments: 6

$${solve}\:{the}\:{equation} \\ $$$${sin}\left({x}\right)+{sin}\left(\mathrm{2}{x}\right)+{sin}\left(\mathrm{3}{x}\right)={cos}\left({x}\right)+{cos}\left(\mathrm{2}{x}\right)+{cos}\left(\mathrm{3}{x}\right) \\ $$

Question Number 64471    Answers: 1   Comments: 0

$$\int\sqrt[{\mathrm{4}}]{{tanx}}{dx} \\ $$

Question Number 64469    Answers: 1   Comments: 0

Question Number 64465    Answers: 0   Comments: 0

$${vy} \\ $$

Question Number 64463    Answers: 0   Comments: 1

$$\int\sqrt{{sec}\left({x}\right)}\:{dx} \\ $$

Question Number 64459    Answers: 0   Comments: 2

Question Number 64452    Answers: 1   Comments: 5

Question Number 64456    Answers: 0   Comments: 1

Question Number 64448    Answers: 1   Comments: 1

$${calculate}\:{lim}_{{x}\rightarrow\pi} \:\:\int_{\frac{\pi}{\mathrm{2}}} ^{{x}} \:\:\:\frac{{dx}}{\mathrm{1}+{sinx}−{cosx}} \\ $$

Question Number 64447    Answers: 1   Comments: 0

Question Number 64445    Answers: 0   Comments: 0

$${calculate}\:\:{W}_{{n}} =\sum_{\mathrm{1}\leqslant{i}\leqslant{j}\leqslant{n}} \:{i}×{j} \\ $$

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