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Author: Tinku Tara

verify-that-y-x-e-x-cos-e-x-e-x-sin-e-x-is-the-solution-of-integral-equation-y-x-1-xe-2x-cos-1-e-2x-sin-1-0-x-1-x-t-e-2x-y-t-dt-

Question Number 74218 by malikmasood3535@gmail.com last updated on 20/Nov/19 $${verify}\:{that}\:{y}\left({x}\right)={e}^{{x}} \left(\mathrm{cos}\:{e}^{{x}} −{e}^{{x}} \mathrm{sin}\:{e}^{{x}} \right)\:{is}\:{the}\:{solution}\:{of}\:{integral}\:{equation}\:{y}\left({x}\right)=\left(\mathrm{1}−{xe}^{\mathrm{2}{x}} \right)\mathrm{cos}\:\mathrm{1}−{e}^{\mathrm{2}{x}} \mathrm{sin}\:\mathrm{1}+\underset{\mathrm{0}} {\overset{{x}} {\int}}\left\{\mathrm{1}−\left({x}−{t}\right){e}^{\mathrm{2}{x}} \right\}{y}\left({t}\right){dt} \\ $$ Answered by mind is…

Question-8683

Question Number 8683 by 314159 last updated on 21/Oct/16 Commented by prakash jain last updated on 21/Oct/16 $${x}^{\mathrm{4}} −\mathrm{4}{cx}^{\mathrm{2}} +\mathrm{6}{x}^{\mathrm{2}} +{x}+\mathrm{1}=\left({x}−{p}\right)^{\mathrm{2}} \left({x}−{a}\right)\left({x}−{b}\right) \\ $$$$={x}^{\mathrm{4}} −\left(\mathrm{2}{p}+{a}+{b}\right){x}^{\mathrm{3}}…

Question-74214

Question Number 74214 by rajesh4661kumar@gmail.com last updated on 20/Nov/19 Answered by mr W last updated on 20/Nov/19 $$\mathrm{9744}{k}+\mathrm{4500}\:{with}\:{k}=\mathrm{0},\:\mathrm{1},\:\mathrm{2},\:… \\ $$$${the}\:{smallest}\:{number}\:{is}\:\mathrm{4500} \\ $$ Commented by rajesh4661kumar@gmail.com…

0-1-1-x-7-1-3-1-x-3-1-7-dx-

Question Number 139750 by bramlexs22 last updated on 01/May/21 $$\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\left(\left(\mathrm{1}−\mathrm{x}^{\mathrm{7}} \right)^{\mathrm{1}/\mathrm{3}} \:\left(\mathrm{1}−\mathrm{x}^{\mathrm{3}} \right)^{\mathrm{1}/\mathrm{7}} \:\right)\mathrm{dx}\:=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-74213

Question Number 74213 by FCB last updated on 20/Nov/19 Commented by MJS last updated on 20/Nov/19 $$\mathrm{information}\:\mathrm{missing} \\ $$$$\mathrm{I}\:\mathrm{think}\:\mathrm{the}\:\mathrm{question}\:\mathrm{is}\:\mathrm{find}\:\mathrm{minimum}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{expression} \\ $$$$\mathrm{this}\:\mathrm{should}\:\mathrm{be}\:\mathrm{at}\:{a}={b}={c}=\frac{\mathrm{1}}{\mathrm{3}} \\ $$$$\mathrm{in}\:\mathrm{this}\:\mathrm{case}\:\mathrm{the}\:\mathrm{answer}\:\mathrm{is}\:\frac{\mathrm{69}}{\mathrm{4}}=\mathrm{17}.\mathrm{25}…

n-N-a-n-5-n-1-5-n-We-can-say-that-a-n-is-always-odd-a-n-is-always-even-It-depends-of-n-The-sign-of-a-n-depends-of-n-

Question Number 139745 by mathocean1 last updated on 01/May/21 $${n}\:\in\:\mathbb{N}. \\ $$$${a}_{{n}} =\mathrm{5}^{{n}+\mathrm{1}} +\mathrm{5}^{{n}} \:{We}\:{can}\:{say}\:{that}: \\ $$$$\bullet\:{a}_{{n}} \:{is}\:{always}\:{odd}. \\ $$$$\bullet\:{a}_{{n}} \:{is}\:{always}\:{even}. \\ $$$$\bullet\:{It}\:{depends}\:{of}\:{n}. \\ $$$$\bullet\:{The}\:{sign}\:{of}\:{a}_{{n}}…