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Question Number 40238 Answers: 2 Comments: 0
Question Number 40237 Answers: 1 Comments: 4
$${Mr}\:{Rag}\:{is}\:{a}\:{buisiness}\:{man}\:{in} \\ $$$${at}\:{the}\:{Sao}\:{Paolo}\:{main}\:{market}. \\ $$$${He}\:{took}\:{a}\:{loan}\:{of}\:\mathrm{200},\mathrm{000}\:{bucks} \\ $$$${from}\:{a}\:{bank}\:{for}\:\mathrm{3}\:{yrs}\:{at}\:\mathrm{3}.\mathrm{5\%} \\ $$$${per}\:{month}.\:{Find}\:{the}\:\boldsymbol{{compound}} \\ $$$$\boldsymbol{{interest}}. \\ $$
Question Number 40236 Answers: 1 Comments: 0
$${if}\:{a}\:{b}\:{c}\:{are}\:{in}\:{H}.{P}\:{then}\:{prove}\:{that}\:\frac{{a}}{{b}+{c}},\frac{{b}}{{c}+{a}},\frac{{c}}{{a}+{b}}\:\:{arw} \\ $$$${also}\:{in}\:{H}.{P}. \\ $$
Question Number 40231 Answers: 1 Comments: 0
Question Number 40222 Answers: 1 Comments: 0
$$\mathrm{please}\:\mathrm{help} \\ $$$$\mathrm{Kate}\:\mathrm{was}\:\mathrm{given}\:\mathrm{602}.\mathrm{00}\:\mathrm{dollas}\:\mathrm{for}\: \\ $$$$\mathrm{shopping}.\:\mathrm{She}\:\mathrm{spent}\:\frac{\mathrm{1}}{\mathrm{4}}\:\mathrm{on}\:\mathrm{chocolate} \\ $$$$\mathrm{and}\:\mathrm{later}\:\frac{\mathrm{2}}{\mathrm{3}}\:\mathrm{on}\:\mathrm{goods}.\:\mathrm{How}\:\mathrm{much} \\ $$$$\mathrm{money}\:\mathrm{was}\:\mathrm{left}? \\ $$
Question Number 40218 Answers: 2 Comments: 0
$${find}\:{the}\:{nth}\:{term}\:{and}\:{the}\:{sum}\:{to}\:{n}\:\:{termof}\:{the}\:{following}\:{seried} \\ $$$$\left({i}\right)\:\mathrm{4}+\mathrm{6}+\mathrm{9}+\mathrm{13}+\mathrm{18}+... \\ $$$$\left({ii}\right)\:\mathrm{11}+\mathrm{23}+\mathrm{59}+\mathrm{167}+... \\ $$
Question Number 40216 Answers: 1 Comments: 0
Question Number 40213 Answers: 0 Comments: 0
Question Number 40212 Answers: 2 Comments: 1
$${Solve}\:\mathrm{4}{x}^{\mathrm{2}} −\mathrm{8}{x}−\mathrm{3}=\mathrm{0} \\ $$
Question Number 40188 Answers: 0 Comments: 0
$${can}\:{any}\:{one}\:{plss}\:{answer} \\ $$$${question}\:;\:\mathrm{40057} \\ $$
Question Number 40186 Answers: 0 Comments: 0
Question Number 40185 Answers: 0 Comments: 0
Question Number 40176 Answers: 0 Comments: 0
Question Number 40173 Answers: 1 Comments: 1
Question Number 40945 Answers: 0 Comments: 0
$${Two}\:{parallel}\:{plate}\:{conductors}\:\mathrm{1}{m} \\ $$$${from}\:{each}\:{other}\:{carry}\:{an}\:{electric} \\ $$$${current}\:{of}\:\mathrm{2}{A}\:{each}.{Find}\:{the}\:{magnetic} \\ $$$${force}\:{per}\:{metre}\:{on}\:{each}\:{wire}. \\ $$
Question Number 40170 Answers: 1 Comments: 3
Question Number 40161 Answers: 0 Comments: 0
$${study}\:{the}\:{convergence}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\frac{{sin}\left(\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)}{{ln}\left(\mathrm{1}+\sqrt{{x}}\right)}{dx} \\ $$
Question Number 40160 Answers: 0 Comments: 1
$${study}\:{the}\:{convergence}\:{of}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\frac{\mathrm{1}−{e}^{−{t}} }{{t}\sqrt{{t}}}\:{dt} \\ $$
Question Number 40159 Answers: 0 Comments: 1
$${let}\:{I}_{{n}} =\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{dx}}{\left(\mathrm{1}+{x}^{\mathrm{3}} \right)^{{n}} } \\ $$$${find}\:{a}\:{relation}\:{etween}\:{I}_{{n}} \:{and}\:{I}_{{n}+\mathrm{1}} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:{I}_{\mathrm{1}\:} \:{and}\:{I}_{\mathrm{2}} \\ $$
Question Number 40158 Answers: 0 Comments: 3
$${let}\:\:{A}_{{n}} =\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\frac{{x}^{\mathrm{2}{n}+\mathrm{1}} \:{ln}\left({x}\right)}{{x}^{\mathrm{2}} \:−\mathrm{1}}{dx} \\ $$$$\left.\mathrm{1}\right)\:{justify}\:{the}\:{existence}\:{of}\:{A}_{{n}} \\ $$$$\left.\mathrm{2}\right){calculate}\:{A}_{{n}+\mathrm{1}} \:−{A}_{{n}} \\ $$$$\left.\mathrm{3}\left.\right)\:{prove}\:{that}\:\:{x}\in\right]\mathrm{0},\mathrm{1}\left[\:\Rightarrow\mathrm{0}<\frac{{xln}\left({x}\right)}{{x}^{\mathrm{2}} \:−\mathrm{1}}<\frac{\mathrm{1}}{\mathrm{2}}\:\:\right. \\ $$$$\left.\mathrm{4}\right)\:{find}\:{lim}_{{n}\rightarrow+\infty} {A}_{{n}} \\ $$
Question Number 40157 Answers: 1 Comments: 1
$${find}\:{the}\:{value}\:{of}\:\:\int_{−\infty} ^{+\infty} \:\:\:\:\:\frac{{dt}}{\left({t}^{\mathrm{2}} \:−\mathrm{2}{t}\:+\mathrm{2}\right)^{\frac{\mathrm{3}}{\mathrm{2}}} } \\ $$
Question Number 40156 Answers: 1 Comments: 1
$${find}\:\:\:\int_{{e}^{\mathrm{2}} } ^{+\infty} \:\:\:\:\frac{{dt}}{{tln}\left({t}\right){ln}\left({ln}\left({t}\right)\right.} \\ $$
Question Number 40155 Answers: 1 Comments: 1
$${caoculate}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{t}\:{dt}}{\left(\mathrm{1}+{t}^{\mathrm{4}} \right)^{\mathrm{2}} } \\ $$
Question Number 40154 Answers: 1 Comments: 1
$${find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\frac{{ln}\left({t}\right)}{\left(\mathrm{1}+{t}\right)^{\mathrm{2}} }{dt} \\ $$
Question Number 40153 Answers: 1 Comments: 1
$${calculate}\:\:\int_{\mathrm{1}} ^{\mathrm{2}} \:\:\:\frac{{t}−\mathrm{2}}{\sqrt{{t}^{\mathrm{2}} \:−\mathrm{1}}}{dt} \\ $$
Question Number 40152 Answers: 1 Comments: 1
$${let}\:\:{f}\left({x}\right)\:=\:\:\int_{−\mathrm{1}} ^{{x}} \:\:\:\:\frac{{e}^{{t}} }{\sqrt{\mathrm{1}−{e}^{{t}} }}{dt}\:\:\:{with}\:{x}<\mathrm{0} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:\:\int_{−\mathrm{1}} ^{\mathrm{0}} \:\:\frac{{e}^{{t}} }{\sqrt{\mathrm{1}−{e}^{{t}} }}{dt} \\ $$
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