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1-lim-x-0-0-x-2-sec-2-t-dt-x-sin-x-2-pi-2-pi-2-sec-x-cos-x-dx-3-In-a-triangle-if-tan-A-2sin-2C-and-3cos-A-2sin-Bsin-C-find-C-

Question Number 105504 by bemath last updated on 29/Jul/20 $$\left(\mathrm{1}\right)\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\int_{\:\mathrm{0}} ^{\:{x}^{\mathrm{2}} } \mathrm{sec}\:^{\mathrm{2}} {t}\:{dt}}{{x}\:\mathrm{sin}\:{x}}\:? \\ $$$$\left(\mathrm{2}\right)\:\underset{−\pi/\mathrm{2}} {\overset{\pi/\mathrm{2}} {\int}}\sqrt{\mathrm{sec}\:{x}−\mathrm{cos}\:{x}}\:{dx}\:? \\ $$$$\left(\mathrm{3}\right){In}\:{a}\:{triangle}\:{if}\:\mathrm{tan}\:{A}=\mathrm{2sin}\:\mathrm{2}{C} \\ $$$${and}\:\mathrm{3cos}\:{A}=\mathrm{2sin}\:{B}\mathrm{sin}\:{C}.\:{find}\:{C} \\ $$…

The-tax-free-allowance-for-Tammy-is-K3-300-00-and-he-pays-Income-Tax-at-the-rate-of-30-on-the-balance-of-his-salary-Calculate-the-net-pay-for-Tammy-if-his-montly-salary-is-K5-500-00-

Question Number 105491 by oustmuchiya@gmail.com last updated on 29/Jul/20 $${The}\:{tax}\:{free}\:{allowance}\:{for} \\ $$$${Tammy}\:{is}\:\mathrm{K3}\:\mathrm{300}.\mathrm{00}\:{and}\:{he}\: \\ $$$${pays}\:{Income}\:{Tax}\:{at}\:{the}\:{rate} \\ $$$${of}\:\mathrm{30\%}\:{on}\:{the}\:{balance}\:{of}\:{his}\: \\ $$$${salary}.\:{Calculate}\:{the}\:{net}\:{pay} \\ $$$${for}\:{Tammy}\:{if}\:{his}\:{montly} \\ $$$${salary}\:{is}\:\mathrm{K5}\:\mathrm{500}.\mathrm{00}. \\ $$$$ \\…

Question-171014

Question Number 171014 by Beginner last updated on 06/Jun/22 Answered by greougoury555 last updated on 06/Jun/22 $$\:=\:\int\left(\frac{\mathrm{1}}{\mathrm{7}}{e}^{\mathrm{7}{x}} +\mathrm{3}{e}^{−\mathrm{2}{x}} \right){dx} \\ $$$$=\frac{\mathrm{1}}{\mathrm{49}}{e}^{\mathrm{7}{x}} −\frac{\mathrm{3}}{\mathrm{2}}{e}^{−\mathrm{2}{x}} +{c}\: \\ $$…

what-numbers-is-that-of-which-the-third-Part-exceeds-the-fifth-part-by-4-

Question Number 39928 by equationeditor last updated on 13/Jul/18 $${what}\:{numbers}\:{is}\:{that}\:{of}\:{which}\:{the}\:{third}\:{Part}\:{exceeds}\:{the}\:{fifth}\:{part}\:{by}\:\mathrm{4} \\ $$ Commented by MrW3 last updated on 13/Jul/18 $${let}\:{x}\:{be}\:{the}\:{number} \\ $$$$\frac{{x}}{\mathrm{3}}−\frac{{x}}{\mathrm{5}}=\mathrm{4} \\ $$$$\frac{\mathrm{2}{x}}{\mathrm{15}}=\mathrm{4} \\…

App-Updates-Support-added-for-Hindi-Language-Select-Hindi-from-font-menu-Drawing-Added-option-to-draw-an-arc-at-a-point-connecting-two-lines-angle-and-explementary-angle-We-can-add

Question Number 105462 by Tinku Tara last updated on 29/Jul/20 $$\mathrm{App}\:\mathrm{Updates}: \\ $$$$\bullet\:\mathrm{Support}\:\mathrm{added}\:\mathrm{for}\:\mathrm{Hindi}\:\mathrm{Language} \\ $$$$\:\:\:\mathrm{Select}\:\mathrm{Hindi}\:\mathrm{from}\:\mathrm{font}\:\mathrm{menu}. \\ $$$$\bullet\:\mathrm{Drawing}:\:\mathrm{Added}\:\mathrm{option}\:\mathrm{to}\:\mathrm{draw} \\ $$$$\:\:\:\:\mathrm{an}\:\mathrm{arc}\:\mathrm{at}\:\mathrm{a}\:\mathrm{point}\:\mathrm{connecting}\:\mathrm{two} \\ $$$$\:\:\:\:\mathrm{lines}\:\left(\mathrm{angle}\:\mathrm{and}\:\mathrm{explementary}\:\mathrm{angle}\right) \\ $$$$\mathrm{We}\:\mathrm{can}\:\mathrm{add}\:\mathrm{more}\:\mathrm{languages}.\: \\ $$$$\mathrm{More}\:\mathrm{languages}:\:\mathrm{If}\:\mathrm{u}\:\mathrm{provide}\:\mathrm{us}…

Question-170977

Question Number 170977 by 0731619 last updated on 05/Jun/22 Commented by mr W last updated on 05/Jun/22 $$\mathrm{4}=\sqrt{\mathrm{16}} \\ $$$$=\sqrt{\mathrm{13}+\mathrm{3}} \\ $$$$=\sqrt{\mathrm{13}+\sqrt{\mathrm{9}}} \\ $$$$=\sqrt{\mathrm{13}+\sqrt{\mathrm{5}+\mathrm{4}}} \\…