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Author: Tinku Tara

Question-11408

Question Number 11408 by anisa last updated on 24/Mar/17 Answered by sm3l2996 last updated on 24/Mar/17 $$=\frac{\mathrm{sin}\left(\frac{\mathrm{4}\pi}{\mathrm{3}}\right)+\mathrm{cos}\left(\frac{\mathrm{4}\pi}{\mathrm{3}}\right)}{\mathrm{tg}\left(\frac{\mathrm{4}\pi}{\mathrm{3}}\right)}=\frac{\frac{−\sqrt{\mathrm{3}}}{\mathrm{2}}−\frac{\mathrm{1}}{\mathrm{2}}}{\:\sqrt{\mathrm{3}}} \\ $$$$=−\frac{\sqrt{\mathrm{3}}+\mathrm{1}}{\mathrm{2}\sqrt{\mathrm{3}}} \\ $$ Terms of Service Privacy…

Evaluate-1-3-x-1-x-1-2-dx-

Question Number 11406 by tawa last updated on 24/Mar/17 $$\mathrm{Evaluate}:\:\:\:\:\:\:\:\int_{\:\mathrm{1}} ^{\:\mathrm{3}} \:\:\frac{\mathrm{x}\:−\:\mathrm{1}}{\left(\mathrm{x}\:+\:\mathrm{1}\right)^{\mathrm{2}} }\:\mathrm{dx} \\ $$ Answered by sm3l2996 last updated on 24/Mar/17 $$\frac{\mathrm{x}−\mathrm{1}}{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} }=\frac{\mathrm{a}}{\mathrm{x}+\mathrm{1}}+\frac{\mathrm{b}}{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} }…

Find-the-magnitude-of-two-forces-such-that-if-they-act-at-right-angle-their-resultant-is-10-and-13-if-they-act-at-an-angle-of-60-

Question Number 11405 by tawa last updated on 24/Mar/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{magnitude}\:\mathrm{of}\:\mathrm{two}\:\mathrm{forces}\:\mathrm{such}\:\mathrm{that}\:\mathrm{if}\:\mathrm{they}\:\mathrm{act}\:\mathrm{at}\:\mathrm{right}\:\mathrm{angle}\:\mathrm{their} \\ $$$$\mathrm{resultant}\:\mathrm{is}\:\sqrt{\mathrm{10}}\:,\:\mathrm{and}\:\sqrt{\mathrm{13}}\:\mathrm{if}\:\mathrm{they}\:\mathrm{act}\:\mathrm{at}\:\mathrm{an}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{60}°.\: \\ $$ Answered by mrW1 last updated on 24/Mar/17 $${x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{10} \\…

We-usually-have-to-write-the-date-in-this-form-01-01-2020-to-mean-the-1-st-january-2020-What-is-the-first-date-that-is-written-in-this-form-with-eight-different-figures-an-example-25-09-1873-

Question Number 76941 by ~blr237~ last updated on 01/Jan/20 $$\mathrm{We}\:\mathrm{usually}\:\mathrm{have}\:\mathrm{to}\:\mathrm{write}\:\mathrm{the}\:\mathrm{date}\:\mathrm{in}\:\mathrm{this}\:\mathrm{form}\:\mathrm{01}/\mathrm{01}/\mathrm{2020} \\ $$$$\mathrm{to}\:\mathrm{mean}\:\mathrm{the}\:\mathrm{1}^{\mathrm{st}} \:\mathrm{january}\:\mathrm{2020}\: \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{first}\:\mathrm{date}\:\mathrm{that}\:\mathrm{is}\:\mathrm{written}\:\mathrm{in}\:\mathrm{this}\:\mathrm{form}\:\mathrm{with}\:\mathrm{eight}\:\mathrm{different}\:\mathrm{figures}\:? \\ $$$$\mathrm{an}\:\mathrm{example}\::\:\mathrm{25}/\mathrm{09}/\mathrm{1873}\:\: \\ $$$$“\mathrm{i}\:\mathrm{wish}\:\mathrm{you}\:\mathrm{a}\:\mathrm{sweet}\:\mathrm{and}\:\mathrm{happy}\:\mathrm{new}\:\mathrm{year}\:\mathrm{to}\:\mathrm{all}\:\mathrm{of}\:\mathrm{you}'' \\ $$ Commented by mr W…

how-can-demonstred-that-cos-2x-sin-2x-1-cos-2-x-

Question Number 11403 by JAZAR last updated on 24/Mar/17 $${how}\:{can}\:{demonstred}\:{that}\: \\ $$$${cos}\left(\mathrm{2}{x}\right)−{sin}\left(\mathrm{2}{x}\right)−\mathrm{1}=−{cos}^{\mathrm{2}} {x} \\ $$ Commented by sm3l2996 last updated on 24/Mar/17 $$\mathrm{I}\:\mathrm{think}\:\mathrm{that}\:\mathrm{equation}\:\mathrm{is}\:\mathrm{not}\:\mathrm{correct} \\ $$$$\mathrm{because}\:\mathrm{cos}\left(\mathrm{2}\pi\right)−\mathrm{sin}\left(\mathrm{2}\pi\right)−\mathrm{1}=\mathrm{0}\neq−\mathrm{cos}^{\mathrm{2}}…

Question-142475

Question Number 142475 by cherokeesay last updated on 01/Jun/21 Answered by qaz last updated on 01/Jun/21 $$\mathrm{f}\left(\frac{\mathrm{1}}{\mathrm{x}}\right)+\mathrm{x}^{\mathrm{2}} \mathrm{f}\left(\mathrm{x}\right)=\mathrm{0} \\ $$$$\Rightarrow\mathrm{f}\left(\mathrm{x}\right)+\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} }\mathrm{f}\left(\frac{\mathrm{1}}{\mathrm{x}}\right)=\mathrm{0} \\ $$$$\mathrm{I}=\int_{\frac{\mathrm{1}}{\mathrm{x}}} ^{\mathrm{x}} \mathrm{f}\left(\mathrm{t}\right)\mathrm{dt}=\int_{\mathrm{x}}…

The-sum-of-the-first-and-last-term-of-an-A-P-is-51-And-the-sum-of-the-progression-is-255-Find-the-last-term-of-the-A-P-

Question Number 11399 by tawa last updated on 23/Mar/17 $$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{first}\:\mathrm{and}\:\mathrm{last}\:\mathrm{term}\:\mathrm{of}\:\mathrm{an}\:\mathrm{A}.\mathrm{P}\:\mathrm{is}\:\mathrm{51}.\:\mathrm{And}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{progression}\:\mathrm{is}\:\mathrm{255}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{last}\:\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{A}.\mathrm{P}. \\ $$ Answered by ajfour last updated on 23/Mar/17 $$\mathrm{last}\:\mathrm{term}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{51}+\mathrm{9d}\right) \\ $$$$\mathrm{where}\:\mathrm{d}\:\mathrm{is}\:\mathrm{whatever}\:\mathrm{common} \\…