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AllQuestion and Answers: Page 228
Question Number 198948 Answers: 2 Comments: 0
$$\int_{\mathrm{1}} ^{\mathrm{3}} \frac{\mathrm{x}−\mathrm{2}}{\mathrm{x}^{\mathrm{2}} −\mathrm{4x}}\:\mathrm{dx}=\:.... \\ $$
Question Number 198952 Answers: 3 Comments: 0
$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\mathrm{3x}}{\mathrm{tan}\:\mathrm{6x}}\:=\:....? \\ $$
Question Number 198951 Answers: 0 Comments: 1
$$\sqrt{\mathrm{8}+\sqrt{\mathrm{48}}\:}=....? \\ $$
Question Number 198950 Answers: 1 Comments: 0
$$\mathrm{3x}+\mathrm{2y}=\mathrm{6} \\ $$$$\mathrm{2x}+\mathrm{3y}=\mathrm{6}\:\rightarrow\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:=...? \\ $$
Question Number 198949 Answers: 1 Comments: 0
$$\:\:\frac{\mathrm{5}!×\mathrm{4}!}{\mathrm{3}!×\mathrm{2}!}\:=\:....\:\: \\ $$
Question Number 198941 Answers: 0 Comments: 1
Question Number 198939 Answers: 1 Comments: 0
Question Number 198933 Answers: 1 Comments: 2
Question Number 198932 Answers: 1 Comments: 0
$${Find}\:{the}\:{value}\:{of}\:{m}\:{given}\:{that}\:{the} \\ $$$${roots}\:{of}\:{x}^{\mathrm{4}} −\mathrm{15}{x}^{\mathrm{3}} +\mathrm{70}{x}^{\mathrm{2}} −\mathrm{120}{x}+{m}=\mathrm{0} \\ $$$${form}\:{a}\:{geometric}\:{progression}. \\ $$
Question Number 198931 Answers: 2 Comments: 0
$${Find}\:{the}\:{value}\:{of}\:{t}:\: \\ $$$${t}\:=\:\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{2}}{\mathrm{9}}+\frac{\mathrm{3}}{\mathrm{27}}+.......+\frac{{n}}{\mathrm{3}^{{n}} }+..... \\ $$
Question Number 198929 Answers: 0 Comments: 0
Question Number 198919 Answers: 1 Comments: 1
$${Find}\:{the}\:{sum}\:{of}\:{the}\:{fourth}\:{powers}\:{of} \\ $$$${the}\:{roots}\:{of}\:{equation}: \\ $$$$\mathrm{7}{x}^{\mathrm{3}} −\mathrm{21}{x}^{\mathrm{2}} +\mathrm{9}{x}+\mathrm{2}=\mathrm{0} \\ $$
Question Number 198913 Answers: 3 Comments: 1
Question Number 198907 Answers: 0 Comments: 2
$$\mathrm{find}\:\mathrm{the}\:\mathrm{Area}\:\mathrm{betwen}\:\mathrm{Circle}\:\mathrm{1}\:\mathrm{and}\: \\ $$$$\mathrm{Circle2}. \\ $$
Question Number 198903 Answers: 1 Comments: 1
$${Find}\:{the}\:{minimum}\:{value}\:{of}\: \\ $$$$\frac{{a}}{{b}+{c}}+\frac{{b}}{{c}+{a}}+\frac{{c}}{{a}+{b}}\:{for}\:{all}\:{positive}\:{real} \\ $$$${numbers} \\ $$
Question Number 198902 Answers: 2 Comments: 0
$${Given}\:{that}\:{k}^{\mathrm{2}} −\mathrm{3}{k}+\mathrm{5}=\mathrm{0},\:{determine} \\ $$$${the}\:{value}\:{of}\:{k}^{\mathrm{4}} −\mathrm{6}{k}^{\mathrm{3}} +\mathrm{9}{k}^{\mathrm{2}} −\mathrm{7} \\ $$
Question Number 198901 Answers: 1 Comments: 0
Question Number 198900 Answers: 0 Comments: 0
$$\frac{\mathrm{2}{sin}\mathrm{2}°+\mathrm{4}{sin}\mathrm{4}°+...+\mathrm{180}{sin}\mathrm{180}°}{\mathrm{90}}=? \\ $$$${calculate}.{help}\:{me}\:{pleas}. \\ $$
Question Number 198879 Answers: 0 Comments: 0
Question Number 198869 Answers: 1 Comments: 2
Question Number 198862 Answers: 2 Comments: 0
Question Number 198860 Answers: 1 Comments: 0
Question Number 198855 Answers: 1 Comments: 0
$${prove}\::\:\underset{{n}\rightarrow\infty} {{lim}}\:\frac{{n}!}{{n}^{{x}} \left({n}−{x}\right)!}\:=\:\mathrm{1}\: \\ $$
Question Number 198850 Answers: 1 Comments: 0
$$ \\ $$$$\mathrm{p}\left(\mathrm{x}+\mathrm{1}\right)+\mathrm{p}\left(\mathrm{x}−\mathrm{1}\right)=\mathrm{4x}^{\mathrm{2}} −\mathrm{2x}+\mathrm{10} \\ $$$$\mathrm{p}\left(\mathrm{x}\right)=? \\ $$$$ \\ $$$$ \\ $$
Question Number 198849 Answers: 2 Comments: 1
Question Number 198845 Answers: 1 Comments: 0
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