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Question Number 167091 Answers: 0 Comments: 0
Question Number 167120 Answers: 3 Comments: 0
Question Number 167086 Answers: 0 Comments: 1
Question Number 167085 Answers: 0 Comments: 1
$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\sqrt{{x}^{\mathrm{2}} +\mathrm{3}{x}}−\sqrt{{x}^{\mathrm{2}} +{x}}\right)^{{x}} =? \\ $$
Question Number 167082 Answers: 1 Comments: 1
Question Number 167078 Answers: 0 Comments: 2
Question Number 167077 Answers: 0 Comments: 0
Question Number 167073 Answers: 1 Comments: 0
$$\:\boldsymbol{\mathrm{Let}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{triangle}}\:\:\boldsymbol{\mathrm{A}}\left(−\mathrm{3};\:\mathrm{2}\right),\:\:\boldsymbol{\mathrm{B}}\left(\mathrm{8};\:\mathrm{4}\right),\:\:\boldsymbol{\mathrm{C}}\left(\mathrm{4};\:−\mathrm{6}\right),\:\:\boldsymbol{\mathrm{solve}}\underset{\:} {\overset{\:} {:}} \\ $$$$\:\left(\boldsymbol{\mathrm{a}}\overset{\:} {\right)}\:\boldsymbol{\mathrm{find}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{perimeter}}; \\ $$$$\:\left(\boldsymbol{\mathrm{b}}\overset{\:} {\right)}\:\boldsymbol{\mathrm{find}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{area}}; \\ $$$$\:\left(\boldsymbol{\mathrm{c}}\overset{\:} {\right)}\:\boldsymbol{\mathrm{find}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{base}}; \\ $$$$\:\left(\boldsymbol{\mathrm{d}}\overset{\:} {\right)}\:\boldsymbol{\mathrm{find}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{height}}; \\ $$$$\:\left(\boldsymbol{\mathrm{e}}\overset{\:} {\right)}\:\boldsymbol{\mathrm{classify}}\:\:\boldsymbol{\mathrm{it}} \\ $$
Question Number 167067 Answers: 0 Comments: 0
$$\int{ln}\mid{sinx}\mid{dx} \\ $$
Question Number 167066 Answers: 0 Comments: 1
Question Number 167058 Answers: 1 Comments: 0
Question Number 167056 Answers: 1 Comments: 0
$$\mathrm{help}\:\mathrm{me}!\: \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}cosec}^{−\mathrm{1}} \left(\mathrm{2}\right)\sqrt{{x}\sqrt{\mathrm{2}\sqrt{{x}}}} \\ $$
Question Number 167048 Answers: 1 Comments: 0
$$ \\ $$$$\:\:\:\:\:{prove}\:{that} \\ $$$$ \\ $$$$\Phi=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} {x}.\psi\:\left(\mathrm{2}+{x}\:\right)=\:\mathrm{2}\:−\frac{\mathrm{1}}{\mathrm{2}}{ln}\left(\mathrm{8}\pi\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:−−− \\ $$
Question Number 167054 Answers: 1 Comments: 0
$${f}\left({x}\right)=\begin{cases}{{e}^{−{x}^{\mathrm{2}} } \:\:\mathrm{0}<{x}<\infty}\\{{e}^{−{x}^{\mathrm{4}} } \:−\infty<{x}<\mathrm{0}\:\:\:\:}\end{cases} \\ $$$$ \\ $$$$\:{Find}\:{geometric}\:{mean}\:{of}\:{f}\left({x}\right) \\ $$
Question Number 167043 Answers: 1 Comments: 0
Question Number 167040 Answers: 0 Comments: 1
$$\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \frac{\mathrm{1}}{\mathrm{1}+\mathrm{sin}\:^{\mathrm{6}} \mathrm{x}}\:\mathrm{dx}=? \\ $$
Question Number 167038 Answers: 0 Comments: 1
$$\mathrm{Find}\:\mathrm{all}\:\mathrm{values}\:\mathrm{of}\:\:\mathrm{a}\:\:\mathrm{and}\:\:\mathrm{b} \\ $$$$\mathrm{such}\:\mathrm{that}\:\:\mathrm{y}=\mathrm{0},\mathrm{5x}^{\mathrm{2}} +\left(\mathrm{a}+\mathrm{b}\right)\mathrm{x}+\mathrm{ab} \\ $$$$\mathrm{is}\:\mathrm{always}\:\mathrm{positive} \\ $$
Question Number 167037 Answers: 2 Comments: 0
$$\mathrm{If}\:\:\:\:\:\mathrm{I}\:=\:\int_{-\mathrm{1}} ^{\:-\mathrm{8}} \:\frac{\mathrm{1}}{\mathrm{x}^{\frac{\mathrm{2}}{\mathrm{3}}} \:−\:\mathrm{x}}\:\mathrm{dx} \\ $$$$\mathrm{then}\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\:\:\mathrm{81}\boldsymbol{\mathrm{e}}^{\boldsymbol{\mathrm{I}}} \:? \\ $$
Question Number 167036 Answers: 1 Comments: 0
$$\mathrm{Evaluate}: \\ $$$$\Omega\:=\:\int\:\mathrm{620}\:\left(\mathrm{x}^{\mathrm{2017}} \:-\:\mathrm{69}\:\mathrm{x}^{\mathrm{126}} \right)^{\mathrm{15}} \:\mathrm{dx} \\ $$
Question Number 167028 Answers: 1 Comments: 0
$$\:\:\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{1}+\mathrm{2x}}−\sqrt[{\mathrm{3}}]{\mathrm{1}+\mathrm{3x}}}{\mathrm{x}^{\mathrm{2}} }\:=? \\ $$
Question Number 167027 Answers: 0 Comments: 1
Question Number 167025 Answers: 0 Comments: 0
$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{3}}} \sqrt{\mathrm{1}−\frac{\mathrm{1}}{\mathrm{3}\:}\mathrm{sin}\:^{\mathrm{2}} \theta}\:\mathrm{d}\theta \\ $$
Question Number 167024 Answers: 1 Comments: 0
$$\int\mathrm{sec}\:\theta\mathrm{tan}\:^{\mathrm{4}} \theta\mathrm{d}\theta \\ $$
Question Number 167021 Answers: 0 Comments: 0
$${how}\:{can}\:{it}\:{solve}\:{this}\:? \\ $$$$ \\ $$$$\left(\mathrm{1}\right){sin}\mathrm{360} \\ $$$$\left(\mathrm{2}\right){tan}\mathrm{345} \\ $$$$\left(\mathrm{3}\right){cos}\mathrm{170} \\ $$$$\left(\mathrm{4}\right){sec}\mathrm{150} \\ $$$$\left(\mathrm{5}\right){cot}\mathrm{150} \\ $$
Question Number 167013 Answers: 1 Comments: 0
Question Number 167011 Answers: 2 Comments: 0
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