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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
Question Number 167010 Answers: 1 Comments: 0
Question Number 167009 Answers: 1 Comments: 0
Question Number 167008 Answers: 1 Comments: 0
Question Number 167007 Answers: 1 Comments: 0
Question Number 167006 Answers: 1 Comments: 0
$$\:\:\:\:\:\:\:\int\:\frac{\mathrm{3x}^{\mathrm{3}} }{\left(\mathrm{x}−\mathrm{1}\right)^{\mathrm{3}} }\:\mathrm{dx}=? \\ $$
Question Number 167002 Answers: 0 Comments: 0
$$\mathrm{calculate}\:\:::\:\:\underset{\mathrm{t}\rightarrow\infty} {\mathrm{lim}8}\int_{\mathrm{0}} ^{\pi/\mathrm{2}} \mathrm{e}^{\mathrm{x}} \centerdot\mathrm{sin}\:\left(\mathrm{tx}\right)\centerdot\mathrm{sin}\:\left(\mathrm{2tx}\right)\centerdot\mathrm{cos}\:\left(\mathrm{3tx}\right)\centerdot\mathrm{cos}\:\left(\mathrm{4tx}\right)\mathrm{dx}=? \\ $$
Question Number 167004 Answers: 0 Comments: 0
$$\mathrm{calculate}\:::\:\:\underset{\mathrm{x}\rightarrow\sqrt{\pi}} {\mathrm{lim}}\int_{\sqrt{\pi}} ^{\mathrm{x}} \frac{\left(\mathrm{x}^{\mathrm{2}} +\sqrt{\pi}\mathrm{t}\right)\mathrm{e}^{\mathrm{t}^{\mathrm{2}} } }{\left(\mathrm{x}−\sqrt{\pi}\right)\left(\mathrm{x}^{\mathrm{2}} +\pi\right)\mathrm{t}^{\mathrm{2}} \mathrm{lnt}}\mathrm{dt}=? \\ $$
Question Number 167003 Answers: 1 Comments: 0
$$\:\:\:\:\:\underset{\mathrm{n}=\mathrm{2}} {\overset{\mathrm{n}=\infty} {\sum}}\left(\frac{\mathrm{3}}{\mathrm{4}}\right)^{\mathrm{n}} \mathrm{cos}\:\left(\mathrm{180}°\mathrm{n}\right)=\:? \\ $$
Question Number 166994 Answers: 2 Comments: 0
$$\mathrm{1}+\mathrm{1}\neq?? \\ $$
Question Number 166982 Answers: 1 Comments: 3
$$\mathrm{hi}! \\ $$$$\mathrm{help}\:\mathrm{me}! \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\int_{\mathrm{0}} ^{\infty} \mathrm{e}^{\mathrm{2}} \mathrm{c}\sqrt{{x}}\int_{\mathrm{0}} ^{\infty} =? \\ $$
Question Number 167098 Answers: 3 Comments: 0
$${find}\:{the}\:{maximum}\:{of} \\ $$$${f}\left({x}\right)=\mathrm{sin}\:{x}+\mathrm{cos}\:{x}+\mathrm{sin}\:{x}\:\mathrm{cos}\:{x} \\ $$
Question Number 166975 Answers: 3 Comments: 3
$$\mathrm{hi}\:!\: \\ $$$$\mathrm{help}\:\mathrm{me}\:! \\ $$$$\underset{\boldsymbol{{x}}\rightarrow−\infty} {\boldsymbol{{lim}}}\:\frac{\boldsymbol{{e}}^{\frac{\mathrm{1}}{\boldsymbol{{x}}+\sqrt{\boldsymbol{{x}}^{\mathrm{2}} +\mathrm{1}}}} }{\boldsymbol{{x}}}\:=\:??? \\ $$
Question Number 166959 Answers: 1 Comments: 0
$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\gamma=\int\:\frac{\mathrm{e}^{\mathrm{x}} \left(\mathrm{sin}\:\mathrm{x}+\mathrm{1}\right)}{\mathrm{cos}\:\mathrm{x}+\mathrm{1}}\:\mathrm{dx}\:=? \\ $$
Question Number 166958 Answers: 3 Comments: 1
$$\:\:\mathrm{If}\:\mathrm{polynomial}\:\mathrm{x}^{\mathrm{3}} −\mathrm{9x}^{\mathrm{2}} +\mathrm{11x}−\mathrm{1}=\mathrm{0}\: \\ $$$$\:\mathrm{have}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{are}\:\mathrm{a},\mathrm{b}\:\mathrm{an}\:\mathrm{c}\:. \\ $$$$\:\mathrm{Given}\:\Delta\:=\:\sqrt{\mathrm{a}}\:+\:\sqrt{\mathrm{b}}\:+\:\sqrt{\mathrm{c}}\:\mathrm{then}\: \\ $$$$\:\:\Delta^{\mathrm{4}} −\mathrm{18}\Delta^{\mathrm{2}} −\mathrm{8}\Delta\:=? \\ $$$$ \\ $$
Question Number 166956 Answers: 1 Comments: 0
$$ \\ $$$$\:\:\:\:{calculate} \\ $$$$\:\:\:\:\int_{\mathrm{0}} ^{\:\infty} \frac{\sqrt{{x}}\:{arctan}\left({x}\right)}{\mathrm{1}+{x}^{\:\mathrm{2}} }{dx}\:=? \\ $$
Question Number 166954 Answers: 1 Comments: 0
$$\:\mathrm{Given}\:\mathrm{x}^{\mathrm{3}} −\mathrm{3x}^{\mathrm{2}} \sqrt{\mathrm{2}}\:+\mathrm{6x}−\mathrm{2}\sqrt{\mathrm{2}}−\mathrm{8}=\mathrm{0} \\ $$$$\:\mathrm{then}\:\mathrm{x}^{\mathrm{5}} −\mathrm{41x}^{\mathrm{2}} +\mathrm{2022}\:=? \\ $$
Question Number 166950 Answers: 0 Comments: 3
Question Number 166943 Answers: 1 Comments: 2
Question Number 166940 Answers: 1 Comments: 0
Question Number 166939 Answers: 1 Comments: 0
Question Number 166929 Answers: 1 Comments: 0
$$\:{A}\:{particle}\:{of}\:{mass}\:\mathrm{0}.\mathrm{25}{kg}\:{vibrates} \\ $$$$\:{with}\:{a}\:{period}\:{of}\:\mathrm{2}{secs}.\:{If}\:{its}\: \\ $$$$\:{greatest}\:{displacement}\:{is}\:\mathrm{0}.\mathrm{4}{m}.\:{What} \\ $$$$\:{is}\:{its}\:{maximum}\:{kinetic}\:{energy}. \\ $$
Question Number 166928 Answers: 1 Comments: 0
Question Number 166926 Answers: 3 Comments: 0
$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\frac{\mathrm{5}^{{n}} }{{n}!}=? \\ $$
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