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In-the-I-park-50-of-the-schools-students-80-in-the-II-park-90-has-partic-pated-in-the-III-park-160-students-have-partic-pated-in-all-3-parks-the-rest-have-partic-pated-in-2-park-How-many-stude

Question Number 129271 by MathSh last updated on 14/Jan/21 $${In}\:{the}\:{I}\:{park}\:\mathrm{50\%}\:{of}\:{the}\:{schools} \\ $$$${students},\:\mathrm{80\%}\:{in}\:{the}\:{II}\:{park}, \\ $$$$\mathrm{90\%}\:{has}\:{partic}\imath{pated}\:{in}\:{the}\:{III}\:{park}. \\ $$$$\mathrm{160}\:{students}\:{have}\:{partic}\imath{pated}\:{in} \\ $$$${all}\:\mathrm{3}\:{parks},\:{the}\:{rest}\:{have} \\ $$$${partic}\imath{pated}\:{in}\:\mathrm{2}\:{park}. \\ $$$${How}\:{many}\:{students}\:{are}\:{there}\:{in} \\ $$$${the}\:{school}\:?\: \\…

Find-all-solutions-of-x-y-a-b-for-these-equations-x-y-2-p-a-x-2-y-p-b-which-x-y-a-b-are-integers-and-p-prime-number-

Question Number 63636 by naka3546 last updated on 06/Jul/19 $${Find}\:\:{all}\:\:{solutions}\:\:{of}\:\:\left({x},\:{y},\:{a},\:{b}\right)\:\:{for}\:\:{these}\:\:{equations}\:: \\ $$$$\:\:\:\:\:\:\:\:{x}\:+\:{y}^{\mathrm{2}} \:\:=\:\:{p}^{{a}} \\ $$$$\:\:\:\:\:\:\:\:{x}^{\mathrm{2}} \:+\:{y}\:\:=\:\:{p}^{{b}} \\ $$$${which}\:\:\:{x},\:{y},\:{a},\:{b}\:\:{are}\:\:{integers}\:\:{and}\:\:{p}\:\:{prime}\:\:{number}\:. \\ $$ Terms of Service Privacy Policy…

cot-2-7-cot-2-2-7-cot-2-3-7-

Question Number 129147 by Adel last updated on 13/Jan/21 $$\mathrm{cot}^{\mathrm{2}} \boldsymbol{\pi}/\mathrm{7}+\mathrm{cot}^{\mathrm{2}} \mathrm{2}\boldsymbol{\pi}/\mathrm{7}+\mathrm{cot}^{\mathrm{2}} \mathrm{3}\boldsymbol{\pi}/\mathrm{7}=? \\ $$ Commented by benjo_mathlover last updated on 13/Jan/21 $$\:\mathrm{ans}\::\:\mathrm{5} \\ $$…

solve-y-4y-cos2x-

Question Number 129130 by bounhome last updated on 13/Jan/21 $${solve}\:: \\ $$$$\:\:{y}''+\mathrm{4}{y}={cos}\mathrm{2}{x} \\ $$$$\: \\ $$ Answered by liberty last updated on 13/Jan/21 $$\:\mathrm{Homogenous}\:\mathrm{solution}\:\mathrm{y}_{\mathrm{h}} =\mathrm{C}_{\mathrm{1}}…

Question-129129

Question Number 129129 by Adel last updated on 13/Jan/21 Commented by MJS_new last updated on 13/Jan/21 $$\mathrm{I}\:\mathrm{think}\:\mathrm{the}\:\mathrm{answer}\:\mathrm{is}\:\frac{\mathrm{1}}{\mathrm{e}}\:\mathrm{but}\:\mathrm{I}\:\mathrm{cannot}\:\mathrm{yet}\:\mathrm{show}\:\mathrm{it} \\ $$ Commented by Adel last updated on…

Question-129098

Question Number 129098 by Adel last updated on 12/Jan/21 Answered by liberty last updated on 12/Jan/21 $$\mathrm{let}\:\mathrm{x}−\mathrm{1}=\mathrm{t} \\ $$$$\:\underset{\mathrm{t}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{2}\sqrt{\mathrm{1}+\mathrm{t}}\:−\mathrm{sin}\:\mathrm{t}−\mathrm{2cos}\:\mathrm{t}}{\mathrm{arctan}\:\mathrm{t}−\mathrm{ln}\:\left(\mathrm{1}+\mathrm{t}\right)}\:= \\ $$$$\:\underset{\mathrm{t}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{2}\left(\mathrm{1}+\frac{\mathrm{t}}{\mathrm{2}}−\frac{\mathrm{t}^{\mathrm{2}} }{\mathrm{2}}\right)−\left(\mathrm{t}−\frac{\mathrm{t}^{\mathrm{3}} }{\mathrm{6}}\right)−\mathrm{2}\left(\mathrm{1}−\frac{\mathrm{t}^{\mathrm{2}}…

p-x-p-x-2-2x-2-2x-4-p-x-

Question Number 129094 by Adel last updated on 12/Jan/21 $$\mathrm{p}\left(\boldsymbol{\mathrm{x}}\right)+\boldsymbol{\mathrm{p}}\left(\boldsymbol{\mathrm{x}}+\mathrm{2}\right)=\mathrm{2}\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{2}\boldsymbol{\mathrm{x}}+\mathrm{4}\:\:\:\:\:\:\:\boldsymbol{\mathrm{p}}\left(\boldsymbol{\mathrm{x}}\right)=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

p-x-p-x-2-2X-2-2X-4-p-x-

Question Number 129090 by Adel last updated on 12/Jan/21 $$\mathrm{p}\left(\mathrm{x}\right)+\mathrm{p}\left(\mathrm{x}+\mathrm{2}\right)=\mathrm{2X}^{\mathrm{2}} +\mathrm{2X}+\mathrm{4}\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{p}}\left(\boldsymbol{\mathrm{x}}\right)=? \\ $$ Answered by MJS_new last updated on 12/Jan/21 $${p}\left({x}\right)={ax}^{\mathrm{2}} +{bx}+{c} \\ $$$${p}\left({x}+\mathrm{2}\right)={ax}^{\mathrm{2}} +\left(\mathrm{4}{a}+{b}\right){x}+\left(\mathrm{4}{a}+\mathrm{2}{b}+{c}\right)…