Question and Answers Forum
All Questions Topic List
AllQuestion and Answers: Page 1598
Question Number 42191 Answers: 0 Comments: 1
$${let}\:{A}_{{p}} =\int_{\mathrm{0}} ^{\infty} \:\:\frac{{sin}\left({px}\right)}{{e}^{{x}} −\mathrm{1}}\:{dx}\:\:{with}\:{p}>\mathrm{0} \\ $$$$\left.\mathrm{1}\right){give}\:{A}_{{p}} \:\:{at}\:{form}\:{of}\:{serie} \\ $$$$\left.\mathrm{2}\right)\:{give}\:{A}_{\mathrm{1}} \:{at}\:{form}\:{of}\:{serie}\:. \\ $$
Question Number 42190 Answers: 0 Comments: 1
$${let}\:\:\:{u}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\left(−\mathrm{1}\right)^{{k}} }{\sqrt{{k}}} \\ $$$$\left.\mathrm{1}\right)\:{prove}\:{that}\:\left({u}_{{n}} \right){is}\:{convergente} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{a}\:{equivalent}\:{of}\:{u}_{{n}} \:{when}\:{n}\rightarrow+\infty \\ $$
Question Number 42189 Answers: 0 Comments: 0
$${calculate}\:\:{f}\left({x}\right)\:=\:\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−{t}^{\mathrm{2}} } \:{arctan}\left({xt}^{\mathrm{2}} \right){dt} \\ $$
Question Number 42188 Answers: 0 Comments: 1
$${let}\:{x}>\mathrm{0}\:\:\:{calculate}\:\:{f}\left({x}\right)\:=\int_{\mathrm{0}} ^{+\infty} \:\:{e}^{−{t}} \:\mid{sin}\left({xt}\right)\mid\:{dt} \\ $$
Question Number 42187 Answers: 0 Comments: 1
$${study}\:{the}\:{convergence}\:{of}\:\sum_{{k}=\mathrm{0}} ^{\infty} \:\:{e}^{−{i}\frac{{k}\pi}{{x}}} \:\:\:\:{and}\:{find}\:{its}\:{sum}\: \\ $$
Question Number 42182 Answers: 0 Comments: 3
$$\boldsymbol{\mathrm{integrate}}\:\:\int\boldsymbol{\mathrm{e}}^{\boldsymbol{{x}}^{\mathrm{2}} } \boldsymbol{{x}}^{\mathrm{2}} \:\boldsymbol{{dx}} \\ $$
Question Number 42232 Answers: 1 Comments: 0
$${calculate}\:\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\:\frac{{d}\theta}{\left(\mathrm{1}+{cos}\theta\right)^{\mathrm{3}} } \\ $$
Question Number 42180 Answers: 1 Comments: 0
$$\mathrm{The}\:\mathrm{median}\:\mathrm{AD}\:\mathrm{of}\:\mathrm{triangle}\:\mathrm{ABC}\:\mathrm{is}\: \\ $$$$\mathrm{bisected}\:\mathrm{at}\:\mathrm{E}\:\mathrm{and}\:\mathrm{BE}\:\mathrm{meets}\:\mathrm{AC}\:\mathrm{at}\:\mathrm{F}. \\ $$$$\mathrm{Find}\:\mathrm{AF}:\mathrm{FC}\:. \\ $$
Question Number 42176 Answers: 0 Comments: 1
$$\mathrm{81}\sqrt{} \\ $$
Question Number 42175 Answers: 0 Comments: 0
$${sin}\mathrm{3}{x}+{sin}\mathrm{5}{x}=\mathrm{2}\left({cos}^{\mathrm{2}} \mathrm{2}{x}−{sin}^{\mathrm{2}} \mathrm{3}{x}\right) \\ $$
Question Number 42174 Answers: 1 Comments: 0
$${cos}^{\mathrm{2}} \mathrm{3}{xcos}\mathrm{2}{x}−{cos}^{\mathrm{2}} {x}=\mathrm{0} \\ $$
Question Number 42170 Answers: 1 Comments: 0
$$\left(\mathrm{2}{tanx}−\mathrm{5}\right){tanx}+\left(\mathrm{2}{cotx}−\mathrm{5}\right){cotx}−\mathrm{8}=\mathrm{0} \\ $$
Question Number 42169 Answers: 0 Comments: 0
$${solve} \\ $$$$\mathrm{2}{sin}\mathrm{3}{x}\left({sinx}+\sqrt{\mathrm{3}}{cosx}\right)+\mathrm{1}+\mathrm{2}{cos}\mathrm{2}{x}=\mathrm{0} \\ $$
Question Number 42157 Answers: 0 Comments: 3
$$\:\int_{\:\mathrm{0}} ^{\:\infty} \:\:\frac{\mathrm{dx}}{\left(\mathrm{1}\:+\:\mathrm{x}^{\mathrm{n}} \right)} \\ $$
Question Number 42154 Answers: 0 Comments: 5
Question Number 42150 Answers: 0 Comments: 0
$${Expand}\:\:\:\left({x}^{{x}} +\:\mathrm{5}^{{x}} \right)^{\mathrm{3}{x}} \:{up}\:{to}\:{the}\:{term}\:{in}\:{x}^{\mathrm{5}} \\ $$
Question Number 42145 Answers: 1 Comments: 2
Question Number 42133 Answers: 1 Comments: 0
$$\mathrm{Let}\:\mathrm{a},\mathrm{b},\mathrm{c}\epsilon\:\mathrm{R}\:\mathrm{such}\:\mathrm{that}\:\mathrm{a}+\mathrm{2b}+\mathrm{c}=\mathrm{4}. \\ $$$$\mathrm{Find}\:\mathrm{maximum}\:\mathrm{value}\:\mathrm{of}\:\left(\mathrm{ab}+\mathrm{bc}+\mathrm{ca}\right). \\ $$
Question Number 42131 Answers: 1 Comments: 1
$${Determine}\:{the}\:{total}\:{translational} \\ $$$${energy}\:{of}\:{two}\:{litres}\:{of}\:{oxygen}\:{gas} \\ $$$${held}\:{at}\:{a}\:{temperature}\:{of}\:\mathrm{0}°{C}\:{and}\: \\ $$$${pressure}\:{of}\:{one}\:{atmosphere}. \\ $$$$ \\ $$
Question Number 42128 Answers: 0 Comments: 2
$${Calculate}\:{the}\:\:{density}\:{of}\:\mathrm{1}\:{mole}\:{of} \\ $$$${oxygen}\:{at}\:{a}\:{pressure}\:{of}\:\mathrm{4}×\mathrm{10}^{\mathrm{4}} {Nm}^{−\mathrm{2}} \\ $$$${and}\:{temperature}\:{of}\:\mathrm{273}.\mathrm{2}{K}. \\ $$
Question Number 42125 Answers: 0 Comments: 6
$${If}\:{a}\:{petrol}\:{tank}\:{costs}\:\sigma\mathrm{2000}.\mathrm{00}\:{to} \\ $$$${fill}\:{it}\:{up}\:{at}\:\mathrm{10}°{C},{how}\:{much}\:{extra} \\ $$$${must}\:{I}\:{pay}\:{to}\:{fill}\:{up}\:{the}\:{tank}\:{at}\:\mathrm{50}°{C} \\ $$$${if}\:{the}\:{petrol}\:{costs}\:\sigma\mathrm{50}.\mathrm{00}\:{per}\:{litre} \\ $$$${and}\:{its}\:{cubic}\:{expansivity}\:{is} \\ $$$$\mathrm{9}.\mathrm{5}×\mathrm{10}^{−\mathrm{4}} {K}^{−\mathrm{1}} ? \\ $$
Question Number 42118 Answers: 1 Comments: 0
$$\mathrm{x}−\mathrm{4}=−\frac{\mathrm{1}}{\mathrm{x}}\:\mathrm{then}\:.\:\mathrm{prove}\:\mathrm{x}^{\mathrm{4}} −\mathrm{194}=−\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{4}} } \\ $$
Question Number 42112 Answers: 1 Comments: 1
Question Number 42110 Answers: 1 Comments: 1
Question Number 42107 Answers: 0 Comments: 0
Question Number 42106 Answers: 1 Comments: 0
Pg 1593 Pg 1594 Pg 1595 Pg 1596 Pg 1597 Pg 1598 Pg 1599 Pg 1600 Pg 1601 Pg 1602
Terms of Service
Privacy Policy
Contact: info@tinkutara.com