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Question Number 72773 Answers: 1 Comments: 2
Question Number 72746 Answers: 1 Comments: 0
$$\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\left(\mathrm{5}{n}\right)!} \\ $$
Question Number 72744 Answers: 0 Comments: 0
Question Number 72741 Answers: 0 Comments: 1
Question Number 72734 Answers: 3 Comments: 0
$${A}\:{triangle}\:{ABC}\:{is}\:{inscribed}\:{in}\:{a} \\ $$$${circle}.{AC}=\mathrm{10}{cm},{BC}=\mathrm{7}{cm}\:{and}\: \\ $$$${AB}=\mathrm{10}{cm}.{Find}\:{the}\:{radius}\:{of}\:{the} \\ $$$${circle}. \\ $$
Question Number 72724 Answers: 0 Comments: 2
Question Number 72721 Answers: 1 Comments: 12
Question Number 72718 Answers: 0 Comments: 3
$${given}\:{that}\: \\ $$$$\:{a}\:\equiv\:{b}\left({mod}\:{n}\right)\: \\ $$$${show}\:{that}\:{a}^{{k}} \:\equiv\:{b}^{{k}} \:\left({mod}\:{n}\right) \\ $$
Question Number 72689 Answers: 1 Comments: 0
Question Number 72688 Answers: 3 Comments: 0
$${Evaluate}\: \\ $$$$\:\underset{{t}\rightarrow\mathrm{9}} {\:{lim}}\frac{\mathrm{9}−{t}}{\mathrm{3}−\sqrt{{t}}\:} \\ $$
Question Number 72672 Answers: 2 Comments: 2
Question Number 72671 Answers: 0 Comments: 1
Question Number 72694 Answers: 0 Comments: 3
$$\mathrm{convergent}\:\mathrm{or}\:\mathrm{divergent}? \\ $$$${S}=\frac{\mathrm{2}}{\mathrm{1}}−\frac{\mathrm{1}}{\mathrm{1}}+\frac{\mathrm{2}}{\mathrm{3}}−\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{2}}{\mathrm{5}}−\frac{\mathrm{1}}{\mathrm{5}}+\frac{\mathrm{2}}{\mathrm{7}}−\frac{\mathrm{1}}{\mathrm{7}}... \\ $$
Question Number 72693 Answers: 1 Comments: 0
$${prove}\:{that}\:{the}\:{arithmetic}\:{mean}\:{of}\:{a}\:{sequence} \\ $$$${is}\:{greater}\:{or}\:{equal}\:{to}\:{the}\:{geometric}\:{mean}. \\ $$$${that}\:\:{is}\:\: \\ $$$$\:\:\:\:\frac{{a}\:+\:{b}}{\mathrm{2}}\:\geqslant\:\sqrt{{ab}}\: \\ $$
Question Number 72668 Answers: 1 Comments: 0
Question Number 72665 Answers: 1 Comments: 5
$$\int_{\:\mathrm{2}} ^{\:\mathrm{3}} \:\:\frac{\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{x}\right)}{\mathrm{1}\:−\:\mathrm{x}^{\mathrm{2}} }\:\mathrm{dx} \\ $$
Question Number 72641 Answers: 0 Comments: 2
Question Number 72640 Answers: 3 Comments: 0
Question Number 72639 Answers: 1 Comments: 0
$${prove}:\frac{\pi}{\mathrm{5}}\left(\mathrm{3}^{\mathrm{2}} +\mathrm{4}^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{2}}} =\pi \\ $$
Question Number 72634 Answers: 1 Comments: 4
$${help}\:{me}\:{with}\:{the}\:{conditions}\:{please}\: \\ $$$${for}\:{a}\:{function}\:{f}\:{to}\:{be}\:{continuous}\:{at}\:{a}\:{point}\:{a} \\ $$
Question Number 72633 Answers: 0 Comments: 0
$${prove}\:{using}\:{th}\:{sandwich}\:{or}\:{Squeez}\:{theorem}\:{that} \\ $$$${for}\:{any}\:\:{a}\:>\:\mathrm{0} \\ $$$$\:\underset{{x}\rightarrow{a}} {\mathrm{lim}}\:\sqrt{{x}}\:=\:\sqrt{{a}}\: \\ $$
Question Number 72666 Answers: 1 Comments: 0
Question Number 72628 Answers: 0 Comments: 2
$${solve}\:{the}\:{inequality}\: \\ $$$$\:\:{log}_{\mathrm{3}} \left(\mathrm{2}{x}^{\mathrm{2}} \:+\:\mathrm{9}{x}\:+\:\mathrm{9}\right)\:<\:\mathrm{0} \\ $$
Question Number 72608 Answers: 1 Comments: 0
Question Number 72606 Answers: 2 Comments: 0
Question Number 72603 Answers: 1 Comments: 0
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