Question Number 155586 by aaaspots last updated on 02/Oct/21 $${How}\:{to}\:{proof}\:\:\:\:\:{f}:{X}\rightarrow{Y} \\ $$$${f}\:{is}\:\mathrm{1}\:{to}\:\mathrm{1}\:\Leftarrow\Rightarrow\:{f}\left({E}\right)\backslash{f}\left({F}\right)={f}\left({E}\backslash{F}\right) \\ $$ Answered by mindispower last updated on 04/Oct/21 $${by}\:{Double}\:{inclusion} \\ $$$${let}\:{E},{F}\:{bee}\:{subset}\:{oF}\:{X} \\…
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Question Number 155583 by cortano last updated on 02/Oct/21 Answered by yeti123 last updated on 02/Oct/21 $${x}\:=\:\mathrm{6}.\mathrm{4172604685892}… \\ $$$${x}\:\approx\:\mathrm{6}.\mathrm{417260} \\ $$ Answered by peter frank…
Question Number 90044 by abdomathmax last updated on 21/Apr/20 $${calculste}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{sin}\left(\left[\mathrm{2}{x}\right]\:−\left[\frac{\mathrm{1}}{{x}}\right]\right){dx} \\ $$ Commented by mathmax by abdo last updated on 24/Apr/20 $${I}\:=\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 90042 by abdomathmax last updated on 21/Apr/20 $${calculste}\:{I}\:=\int_{\mathrm{0}} ^{+\infty} \:\frac{{ch}\left({cos}\left(\mathrm{2}{x}\right)\right){dx}}{{x}^{\mathrm{2}} \:+\mathrm{4}} \\ $$$${and}\:{J}\:=\int_{\mathrm{0}} ^{\infty} \:\frac{{cos}\left(\mathrm{2}{chx}\right){dx}}{{x}^{\mathrm{2}} \:+\mathrm{4}} \\ $$$${compare}\:{I}\:{and}\:{J} \\ $$ Commented by mathmax…
Question Number 155576 by MathsFan last updated on 02/Oct/21 $${the}\:{polynomial}\:\mathrm{4}{x}^{\mathrm{3}} +{ax}^{\mathrm{2}} +{bx}+\mathrm{9}, \\ $$$${where}\:\boldsymbol{{a}}\:\:{and}\:\:\boldsymbol{{b}}\:{consant},\:{is}\:{denoted}\:{by} \\ $$$$\:{f}\left({x}\right).\:{when}\:{f}\left({x}\right)\:{is}\:{divide}\:{by}\:\left({x}−\mathrm{2}\right)\:{the} \\ $$$${remainder}\:{is}\:\boldsymbol{{r}}\:{and}\:{when}\:{divided}\:{by} \\ $$$$\:\left({x}−\mathrm{3}\right)\:{the}\:{remaider}\:{is}\:\mathrm{6}\boldsymbol{{r}}.\:{its}\:{further} \\ $$$$\:{given}\:{that}\:\left({x}+\mathrm{3}\right)\:{is}\:{a}\:{factor}\:{of}\:{f}\left({x}\right). \\ $$$$\:{Show}\:{that}\:\boldsymbol{{b}}−\boldsymbol{{a}}=\mathrm{14} \\…
Question Number 90043 by abdomathmax last updated on 21/Apr/20 $${calculate}\:{f}\left({a}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\frac{{arctan}\left({ax}\right)}{{x}^{\mathrm{2}} \:+{a}^{\mathrm{2}} }{dx}\:{with}\:{a}>\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 24506 by Tinkutara last updated on 19/Nov/17 $$\mathrm{A}\:\mathrm{spot}\:\mathrm{light}\:{S}\:\mathrm{rotates}\:\mathrm{in}\:\mathrm{a}\:\mathrm{horizontal} \\ $$$$\mathrm{plane}\:\mathrm{with}\:\mathrm{a}\:\mathrm{constant}\:\mathrm{angular}\:\mathrm{velocity} \\ $$$$\mathrm{of}\:\mathrm{0}.\mathrm{1}\:\mathrm{rad}/\mathrm{s}.\:\mathrm{The}\:\mathrm{spot}\:\mathrm{of}\:\mathrm{light}\:{P}\:\mathrm{moves} \\ $$$$\mathrm{along}\:\mathrm{the}\:\mathrm{wall}\:\mathrm{at}\:\mathrm{a}\:\mathrm{distance}\:\mathrm{3}\:\mathrm{m}.\:\mathrm{What} \\ $$$$\mathrm{is}\:\mathrm{the}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{the}\:\mathrm{spot}\:{P}\:\mathrm{when}\:\theta\:=\:\mathrm{45}°? \\ $$ Commented by Tinkutara last updated…
Question Number 90040 by abdomathmax last updated on 21/Apr/20 $${find}\:\:\int_{−\infty} ^{+\infty} \:\:\frac{{ch}\left({acosx}\:+{bsinx}\right)}{{x}^{\mathrm{2}} −{x}+\mathrm{1}}{dx} \\ $$$${a}\:{and}\:{b}\:{reals}\:{given} \\ $$ Commented by mathmax by abdo last updated on…