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Question Number 46737 Answers: 2 Comments: 0
Question Number 46736 Answers: 2 Comments: 1
Question Number 46735 Answers: 0 Comments: 3
Question Number 46731 Answers: 1 Comments: 1
$${calculate}\:\sum_{\left({i},{j}\right)\in{N}} \:\:\frac{{i}^{\mathrm{2}} \:+{j}^{\mathrm{2}} }{\mathrm{2}^{{i}+{j}} } \\ $$
Question Number 46720 Answers: 0 Comments: 6
Question Number 46715 Answers: 0 Comments: 0
$${Given}\:{that}\:{the}\:{first}\:{two}\:{terms}\:{of} \\ $$$${a}\:{G}.{P}\:{is}\:{x}\:{and}\:{the}\:{last}\:{two}\:{terms} \\ $$$${is}\:{y}.\:{Find}\:{the}\:{common}\:{ratio}. \\ $$
Question Number 46713 Answers: 1 Comments: 0
$$\frac{{x}−\mathrm{1}}{{x}−\mathrm{2}}−\frac{{x}−\mathrm{2}}{{x}−\mathrm{3}}=\frac{{x}−\mathrm{5}}{{x}−\mathrm{6}}−\frac{{x}−\mathrm{6}}{{x}−\mathrm{7}} \\ $$$$\boldsymbol{{solve}}\:\boldsymbol{{for}}\:\boldsymbol{{x}} \\ $$
Question Number 46712 Answers: 0 Comments: 0
$${find}\:{S}\left({z}\right)=\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{{z}^{{n}} }{{n}^{\mathrm{2}} }\:{with}\:{z}\:{complex}\:{and}\:\mid{z}\mid=\mathrm{1}\:. \\ $$
Question Number 46708 Answers: 0 Comments: 0
$$\mathrm{thank}\:\mathrm{you}\:\mathrm{sir} \\ $$
Question Number 46705 Answers: 0 Comments: 0
$${calculate}\:\sum_{{k}=\mathrm{0}} ^{{n}} \:\frac{\mathrm{1}}{\mathrm{3}{k}+\mathrm{1}}\:{interms}\:{of}\:{H}_{{n}} \\ $$$${H}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{{k}}\:. \\ $$
Question Number 46697 Answers: 1 Comments: 0
$${Find}\:{the}\:{sum}\:{of}\:{the}\:{first}\:{nterms}\: \\ $$$${of}\:{the}\:{G}.{P}\:\mathrm{3}+\mathrm{1}+\frac{\mathrm{1}}{\mathrm{3}}+...{and}\:{show}\:{that} \\ $$$${the}\:{sum}\:{cannot}\:{exceed}\:\frac{\mathrm{9}}{\mathrm{2}}\:{however} \\ $$$${great}\:{n}\:{may}\:{be}. \\ $$
Question Number 46694 Answers: 1 Comments: 0
$$\left({y}''{y}−\left({y}'\right)^{\mathrm{2}} \right)\mathrm{e}^{\frac{{y}'}{{y}}} ={y}^{\mathrm{2}} \\ $$$$\mathrm{not}\:\mathrm{sure}\:\mathrm{if}\:\mathrm{it}'\mathrm{s}\:\mathrm{possible}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{this}\:\mathrm{at}\:\mathrm{all}... \\ $$
Question Number 46686 Answers: 2 Comments: 1
Question Number 46681 Answers: 1 Comments: 2
Question Number 46680 Answers: 1 Comments: 0
Question Number 46674 Answers: 1 Comments: 0
$${why}\:{slope}\:{is}\:{represented}\:{by}\:{m} \\ $$
Question Number 46673 Answers: 0 Comments: 5
Question Number 46667 Answers: 0 Comments: 1
$${integrate}\:\mathrm{ln}\:\left({cosx}+{sinx}\right){dx} \\ $$
Question Number 46657 Answers: 1 Comments: 0
$${integrte}\:\mathrm{sin}^{−\mathrm{1}} {x} \\ $$
Question Number 46652 Answers: 1 Comments: 0
$$\mathrm{2}\frac{\mathrm{1}}{\mathrm{2}}\mathrm{y}+\mathrm{5}\frac{\mathrm{1}}{\mathrm{2}}\mathrm{y}−\mathrm{2}=\mathrm{3} \\ $$$$\mathrm{could}\:\mathrm{you}\:\mathrm{help}\:\mathrm{me} \\ $$
Question Number 46651 Answers: 1 Comments: 0
$$\mathrm{3}\frac{\mathrm{8}}{\mathrm{19}}−\mathrm{2x}=\mathrm{1}\frac{\mathrm{6}}{\mathrm{19}} \\ $$$$\mathrm{plz}\:\mathrm{help}\:\mathrm{me} \\ $$
Question Number 46640 Answers: 0 Comments: 1
$$\mathrm{1}\leqslant{n},{m}\in\mathbb{N}.\:{Prove}\:{that} \\ $$$$\mathrm{3}\left({m}+{n}\right)+\mathrm{10ln}\:\left({m}!{n}!\right)\geqslant\mathrm{6}\sqrt{{mnH}_{{m}} {H}_{{n}} }. \\ $$$$\left({H}_{{m}} =\underset{{i}=\mathrm{1}} {\overset{{m}} {\sum}}\frac{\mathrm{1}}{{i}},\:{H}_{{n}} =\underset{{j}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{1}}{{j}}\right) \\ $$
Question Number 46639 Answers: 1 Comments: 2
Question Number 46641 Answers: 0 Comments: 1
Question Number 46637 Answers: 2 Comments: 3
Question Number 46636 Answers: 1 Comments: 0
$$\mathrm{tan}\:\theta=\mathrm{10tan60}^{°} \\ $$
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