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Question Number 147943 Answers: 0 Comments: 3
$$\int\:\frac{\left({x}^{\mathrm{2}} \:+\:{x}\right)^{\mathrm{2}} }{{x}\:+\:\mathrm{1}}\:=\:? \\ $$
Question Number 147942 Answers: 2 Comments: 0
$${if}\:\:\:{f}\left({x}\right)={f}\left({x}−\mathrm{4}\right)+\mathrm{8}\:\:\:{and}\:\:\:{f}\left(\mathrm{2}\right)=\mathrm{4} \\ $$$${find}\:\:\:{f}\left(\mathrm{10}\right)=? \\ $$
Question Number 147941 Answers: 2 Comments: 0
$${x}^{\mathrm{2}} \:-\:\mathrm{6}{x}\:+\:\mathrm{3}\:=\:\mathrm{0}\:\:\:\Rightarrow\:\:\:\frac{\mathrm{2}{x}^{\mathrm{2}} }{\mathrm{3}}\:+\:\frac{\mathrm{6}}{{x}^{\mathrm{2}} }\:=\:? \\ $$
Question Number 147936 Answers: 1 Comments: 0
$${Solve}\:{the}\:{inequality} \\ $$$$\left(\pi\:-\:\mathrm{3}\right)^{\mathrm{2}\boldsymbol{{sin}}\mathrm{2}\boldsymbol{{x}}} \:\leqslant\:\left(\pi\:-\:\mathrm{3}\right)^{\mathrm{2}} \\ $$
Question Number 147934 Answers: 0 Comments: 0
Question Number 147933 Answers: 1 Comments: 0
$${Simplify} \\ $$$$\left(\mathrm{1}+\:\frac{\mathrm{1}}{{cos}\mathrm{2}{x}}\right)\centerdot\left(\mathrm{1}+\frac{\mathrm{1}}{{cos}\mathrm{4}{x}}\right)\centerdot\left(\mathrm{1}+\frac{\mathrm{1}}{{cos}\mathrm{8}{x}}\right)=? \\ $$
Question Number 147932 Answers: 1 Comments: 0
$${if}\:\:\:\frac{\mathrm{1}−{sin}\mathrm{2}{x}}{\mathrm{1}\:+\:{sin}\mathrm{2}{x}}\:=\:\sqrt{\mathrm{17}\:+\:\mathrm{12}\sqrt{\mathrm{2}}} \\ $$$${find}\:\:\:\mid\frac{{sinx}\:+\:{cosx}}{{cosx}\:-\:{sinx}}\mid\:=\:? \\ $$
Question Number 147918 Answers: 0 Comments: 2
Question Number 147921 Answers: 0 Comments: 1
Question Number 147915 Answers: 0 Comments: 2
Question Number 147914 Answers: 0 Comments: 0
$$ \\ $$$$\:\:{f}\:\left({x}\:\right):=\:\mathrm{3}{x}\:+\left[\:\frac{{x}}{\mathrm{4}}\:\right]\:\:,\:\mathrm{D}_{\:{f}} \:=\left[\:\mathrm{0},\infty\right) \\ $$$$\:\:\:\:\:\:\:\:\:{f}^{\:−\mathrm{1}} \left(\:{x}\:\right)=\:? \\ $$$$ \\ $$
Question Number 147913 Answers: 0 Comments: 0
Question Number 147906 Answers: 1 Comments: 0
$$\mathrm{4}\:{bad}\:{apples}\:{are}\:{mixed}\:{accidentally} \\ $$$${with}\:\mathrm{20}\:{good}\:{apples}.\:{Obtain}\:{the} \\ $$$$\:{probability}\:{distribution}\:{of}\:{the}\: \\ $$$${numbers}\:{of}\:{bad}\:{apples}\:{in}\:{a}\:{draw}\:{of}\: \\ $$$$\mathrm{2}\:{apples}\:{at}\:{random} \\ $$
Question Number 147905 Answers: 1 Comments: 0
Question Number 147904 Answers: 1 Comments: 0
Question Number 147895 Answers: 0 Comments: 0
Question Number 147894 Answers: 2 Comments: 0
$${x}^{\mathrm{2}} \:-\:\mathrm{3}{x}\:+\:\mathrm{4}\:=\:\mathrm{0}\:\:\Rightarrow\:\:{x}^{\mathrm{2}} \:+\:\frac{\mathrm{16}}{{x}^{\mathrm{2}} }\:=\:? \\ $$
Question Number 147893 Answers: 0 Comments: 2
$${x}\:+\:\mathrm{1}\:+\:\frac{\mathrm{1}}{{x}}\:=\:\mathrm{4}\:\:\Rightarrow\:\:{x}\:+\:\mathrm{1}\:-\:\frac{\mathrm{1}}{{x}}\:=\:? \\ $$
Question Number 147892 Answers: 1 Comments: 0
$${if}\:\:\:{x};{y};{z}>\mathrm{1}\:\:\:{then}: \\ $$$$\sqrt{\frac{\left({x}−\mathrm{1}\right)\left({y}−\mathrm{1}\right)\left({z}−\mathrm{1}\right)}{\left({x}+\mathrm{1}\right)\left({y}+\mathrm{1}\right)\left({z}+\mathrm{1}\right)}\:}\:<\:\frac{{xyz}}{\mathrm{8}} \\ $$
Question Number 147884 Answers: 0 Comments: 0
$$\int_{\mathrm{0}} ^{\mathrm{1}} {e}^{−{x}} {x}^{{a}} {dx}\:\:{a}>\mathrm{0} \\ $$$$ \\ $$
Question Number 147882 Answers: 2 Comments: 0
$${if}\:\:\:\sqrt[{\mathrm{3}}]{\mathrm{6}\sqrt{\mathrm{3}}\:+\:\mathrm{10}}\:−\:\sqrt[{\mathrm{3}}]{\mathrm{6}\sqrt{\mathrm{3}}\:−\:\mathrm{10}}\:=\:\boldsymbol{{x}} \\ $$$${find}\:\:\:\frac{{x}^{\mathrm{3}} }{\mathrm{10}−\mathrm{3}{x}}\:=\:? \\ $$
Question Number 147879 Answers: 1 Comments: 0
Question Number 147878 Answers: 1 Comments: 0
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{to}\:\:\mathrm{n}\:\:\mathrm{term}:\:\:\:\:\:\mathrm{1}.\mathrm{2}.\mathrm{3}\:\:+\:\:\mathrm{4}.\mathrm{5}.\mathrm{6}\:\:+\:\:\mathrm{7}.\mathrm{8}.\mathrm{9}\:\:+\:\:... \\ $$
Question Number 147873 Answers: 1 Comments: 0
Question Number 147877 Answers: 1 Comments: 2
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{to}\:\mathrm{close}\:\mathrm{form}. \\ $$$$\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{1}.\mathrm{2}.\mathrm{3}}\:\:+\:\:\frac{\mathrm{1}}{\mathrm{4}.\mathrm{5}.\mathrm{6}}\:\:\:+\:\:\frac{\mathrm{1}}{\mathrm{7}.\mathrm{8}.\mathrm{9}}\:\:\:+\:\:\:...\:\:\: \\ $$
Question Number 147867 Answers: 3 Comments: 0
$$\int\mathrm{sec}{x}\:{dx}=? \\ $$
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