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Question-20744

Question Number 20744 by mondodotto@gmail.com last updated on 02/Sep/17 Answered by $@ty@m last updated on 02/Sep/17 $${ATQ}, \\ $$$${Let}\:{the}\:{equation}\:{of}\:{the}\:{st}.\:{line}\:{be} \\ $$$${y}={mx}+{c}\:−−\left(\mathrm{1}\right) \\ $$$${It}\:{passes}\:{through}\:\left(\mathrm{4},−\mathrm{2}\right) \\ $$$$\therefore\:−\mathrm{2}=\mathrm{4}{m}+{c}…

1-Let-R-be-a-relation-on-a-set-A-1-2-3-4-5-6-defined-by-R-a-b-a-b-9-then-find-A-R-and-R-1-B-domain-and-range-of-R-and-R-1-C-is-R-R-1-

Question Number 151805 by abdurehime last updated on 23/Aug/21 $$\mathrm{1}.\mathrm{Let}\:\mathrm{R}\:\mathrm{be}\:\mathrm{a}\:\mathrm{relation}\:\mathrm{on}\:\mathrm{a}\:\mathrm{set}\: \\ $$$$\mathrm{A}=\left\{\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{6}\right\}\:\mathrm{defined}\:\mathrm{by}\: \\ $$$$\mathrm{R}\left\{\left(\mathrm{a},\mathrm{b}\right):\mathrm{a}+\mathrm{b}\leqslant\mathrm{9}\:\mathrm{then}\:\mathrm{find}\right. \\ $$$$\mathrm{A}.\:\:\mathrm{R}\:\mathrm{and}\:\mathrm{R}^{−\mathrm{1}} \\ $$$$\mathrm{B}.\:\:\mathrm{domain}\:\mathrm{and}\:\mathrm{range}\:\mathrm{of}\:\mathrm{R}\:\mathrm{and}\:\mathrm{R}^{−\mathrm{1}} \\ $$$$\mathrm{C}.\mathrm{is}\:\mathrm{R}=\mathrm{R}^{−\mathrm{1}} ?? \\ $$$$ \\ $$…

4-Let-f-x-x-2-and-g-x-x-then-find-fog-x-and-gof-x-and-domain-of-fog-x-and-gof-are-they-they-the-same-explain-please-help-me-

Question Number 151804 by abdurehime last updated on 23/Aug/21 $$\mathrm{4}.\mathrm{Let}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{x}^{\mathrm{2}} \mathrm{and}\:\mathrm{g}\left(\mathrm{x}\right)=\sqrt{\mathrm{x}\:} \\ $$$$\mathrm{then}\:\mathrm{find}\:\mathrm{fog}\left(\mathrm{x}\right)\:\mathrm{and}\:\mathrm{gof}\left(\mathrm{x}\right)\:\mathrm{and} \\ $$$$\:\mathrm{domain}\:\mathrm{of}\left(\mathrm{fog}\right)\left(\mathrm{x}\right)\mathrm{and}\left(\mathrm{gof}\right) \\ $$$$\mathrm{are}\:\mathrm{they}\:\mathrm{they}\:\mathrm{the}\:\mathrm{same}?\mathrm{explain}. \\ $$$$ \\ $$$$\mathrm{please}\:\mathrm{help}\:\mathrm{me}??? \\ $$$$ \\ $$…

Question-20705

Question Number 20705 by mondodotto@gmail.com last updated on 01/Sep/17 Answered by dioph last updated on 01/Sep/17 $$\mathrm{40}\:=\:\frac{\Sigma{x}_{{i}} −\left(\mathrm{43}+\mathrm{35}\right)+\left(\mathrm{34}+\mathrm{53}\right)}{\mathrm{200}} \\ $$$$\mathrm{8000}\:=\:\Sigma{x}_{{i}} \:−\:\mathrm{78}\:+\:\mathrm{87} \\ $$$$\Sigma{x}_{{i}} \:=\:\mathrm{7991} \\…

Question-20625

Question Number 20625 by mondodotto@gmail.com last updated on 29/Aug/17 Commented by $@ty@m last updated on 30/Aug/17 $${it}\:{seems}\:{something}\:{missing}\:{in}\:{the}\: \\ $$$${question}\:{because}\:{in}\:'{if}'\:{part},\:{there} \\ $$$${is}\:'>{c}'\:{but}\:{there}\:{is}\:{no}\:'{c}'\:{in}'{prove}\:{that}'\:{part}. \\ $$ Answered by…

prove-4arccot5-arccot239-pi-4-

Question Number 151665 by Huy last updated on 22/Aug/21 $$\mathrm{prove}\:\mathrm{4arccot5}−\mathrm{arccot239}=\frac{\pi}{\mathrm{4}} \\ $$ Answered by puissant last updated on 22/Aug/21 $${tan}\left(\mathrm{4}{x}\right)=\frac{\mathrm{4}{tanx}−\mathrm{4}\left({tanx}\right)^{\mathrm{3}} }{\mathrm{1}−\mathrm{6}\left({tanx}\right)^{\mathrm{2}} +\left({tanx}\right)^{\mathrm{4}} } \\ $$$${tan}\left(\mathrm{4}{arctan}\frac{\mathrm{1}}{\mathrm{5}}\right)=\frac{\mathrm{120}}{\mathrm{119}}…