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Question-124393

Question Number 124393 by n0y0n last updated on 03/Dec/20 Answered by Kunal12588 last updated on 03/Dec/20 $$\mathrm{1}.\:{l}_{\mathrm{1}} :−{i}+\mathrm{3}{j}+\mathrm{2}{k}+\nu\left(−\mathrm{3}{i}−{j}−\mathrm{4}{k}\right) \\ $$$$\left(\mathrm{5},\lambda,\mu\right)\:{lies}\:{on}\:{l}_{\mathrm{1}} \\ $$$$\Rightarrow\nu=\frac{\mathrm{5}+\mathrm{1}}{−\mathrm{3}}=−\mathrm{2} \\ $$$$\lambda=\mathrm{3}−\nu=\mathrm{5} \\…

Question-124390

Question Number 124390 by ELIZAR last updated on 03/Dec/20 Answered by benjo_mathlover last updated on 03/Dec/20 $$\frac{\mathrm{31}}{\mathrm{9}}=\:\mathrm{3}+\frac{\mathrm{4}}{\mathrm{9}}=\:\mathrm{4}−\frac{\mathrm{5}}{\mathrm{9}}\:=\:\mathrm{4}−\frac{\mathrm{1}}{\frac{\mathrm{9}}{\mathrm{5}}}=\mathrm{4}−\frac{\mathrm{1}}{\mathrm{3}−\frac{\mathrm{6}}{\mathrm{5}}} \\ $$$$=\:\mathrm{4}−\frac{\mathrm{1}}{\mathrm{3}−\frac{\mathrm{1}}{\frac{\mathrm{5}}{\mathrm{6}}}}\:=\:\mathrm{4}−\frac{\mathrm{1}}{\mathrm{3}−\frac{\mathrm{1}}{\mathrm{1}−\frac{\mathrm{1}}{\mathrm{6}}}} \\ $$ Terms of Service Privacy…

find-x-if-x-2-16-x-

Question Number 58832 by otchereabdullai@gmail.com last updated on 30/Apr/19 $$\mathrm{find}\:\mathrm{x}\:\mathrm{if}\:\mathrm{x}^{\mathrm{2}} =\mathrm{16}^{\mathrm{x}} \\ $$ Commented by tanmay last updated on 01/May/19 $${f}\left({x}\right)={x}^{\mathrm{2}} −\mathrm{16}^{{x}} \\ $$$${f}\left(\mathrm{0}\right)<\mathrm{0} \\…

A-farmer-and-his-son-used-20-days-to-weed-a-plot-of-land-If-the-farmer-uses-36-days-to-weed-the-same-plot-of-land-how-many-days-will-the-son-use-to-weed-the-same-plot-of-land-

Question Number 189872 by otchereabdullai last updated on 23/Mar/23 $${A}\:{farmer}\:{and}\:{his}\:{son}\:{used}\:\mathrm{20}\:{days}\: \\ $$$${to}\:{weed}\:{a}\:{plot}\:{of}\:{land}\:.\:{If}\:{the}\:{farmer} \\ $$$${uses}\:\mathrm{36}\:{days}\:{to}\:{weed}\:{the}\:{same}\:{plot}\:{of} \\ $$$${land}\:,\:{how}\:{many}\:{days}\:{will}\:{the}\:{son}\: \\ $$$${use}\:{to}\:{weed}\:{the}\:{same}\:{plot}\:{of}\:{land} \\ $$ Answered by Frix last updated…

0-2-sin-x-sin-x-cos-x-dx-

Question Number 189874 by mathocean1 last updated on 23/Mar/23 $$\int_{\mathrm{0}} ^{\:\mathrm{2}} \:\:\:\frac{{sin}\left({x}\right)}{{sin}\left({x}\right)+{cos}\left({x}\right)}{dx}=\:? \\ $$ Answered by ARUNG_Brandon_MBU last updated on 23/Mar/23 $${I}=\int_{\mathrm{0}} ^{\mathrm{2}} \frac{\mathrm{sin}{x}}{\mathrm{sin}{x}+\mathrm{cos}{x}}{dx}=\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\int_{\mathrm{0}} ^{\mathrm{2}}…