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Find-the-slope-of-the-tangent-line-to-the-graph-of-y-4-3y-4x-3-5x-1-at-the-point-P-1-2-

Question Number 91476 by Zainal Arifin last updated on 01/May/20 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{slope}\:\mathrm{of}\:\mathrm{the}\:\mathrm{tangent}\: \\ $$$$\mathrm{line}\:\mathrm{to}\:\mathrm{the}\:\mathrm{graph}\:\mathrm{of}: \\ $$$$\mathrm{y}^{\mathrm{4}} +\mathrm{3y}−\mathrm{4x}^{\mathrm{3}} =\mathrm{5x}+\mathrm{1}\:\:\mathrm{at}\:\mathrm{the}\:\mathrm{point} \\ $$$$\mathrm{P}\:\left(\mathrm{1},\:−\mathrm{2}\right) \\ $$ Commented by john santu…

8a-6-5a-3-1-factorize-

Question Number 25899 by maheshagarwal last updated on 16/Dec/17 $$\mathrm{8}{a}^{\mathrm{6}} +\mathrm{5}{a}^{\mathrm{3}} +\mathrm{1}={factorize} \\ $$ Commented by sushmitak last updated on 16/Dec/17 $${a}^{\mathrm{3}} ={x} \\ $$$${x}=\frac{−\mathrm{5}\pm\sqrt{\mathrm{25}−\mathrm{32}}}{\mathrm{16}}=\frac{−\mathrm{5}\pm\iota\sqrt{\mathrm{7}}}{\mathrm{16}}…

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

Question Number 91421 by  M±th+et+s last updated on 30/Apr/20 $$\int_{\mathrm{1}} ^{\mathrm{3}} \frac{\mathrm{1}}{{x}\sqrt{\mathrm{3}{x}^{\mathrm{2}} +\mathrm{2}{x}−\mathrm{1}}}{dx} \\ $$ Commented by abdomathmax last updated on 30/Apr/20 $${I}\:=\int_{\mathrm{1}} ^{\mathrm{3}} \:\:\frac{{dx}}{{x}\sqrt{\mathrm{3}{x}^{\mathrm{2}}…

find-dy-dx-for-y-x-x-x-x-

Question Number 25854 by rita1608 last updated on 15/Dec/17 $${find}\:\frac{{dy}}{{dx}}\:{for}\:{y}=\sqrt{{x}+\sqrt{{x}+\sqrt{{x}+\sqrt{{x}………}}}} \\ $$ Answered by ibraheem160 last updated on 15/Dec/17 $${y}^{\mathrm{2}} ={x}+{y} \\ $$$$\mathrm{2}{y}\frac{{dy}}{{dx}}=\mathrm{1}+\frac{{dy}}{{dx}} \\ $$$$\frac{{dy}}{{dx}}=\frac{\mathrm{1}}{\mathrm{2}{y}−\mathrm{1}}…

determine-the-interval-on-which-the-given-function-is-continuous-f-x-sin-1-x-x-0-x-x-0-

Question Number 25846 by rita1608 last updated on 15/Dec/17 $${determine}\:{the}\:{interval}\:{on}\:{which}\:{the} \\ $$$${given}\:{function}\:{is}\:{continuous}\: \\ $$$${f}\left({x}\right)=\begin{cases}{\mathrm{sin}\:\frac{\mathrm{1}}{{x}}}&{{x}\neq\mathrm{0}}\\{{x}}&{{x}=\mathrm{0}}\end{cases} \\ $$ Commented by kaivan.ahmadi last updated on 15/Dec/17 $$\mathrm{since}\:\:\mathrm{li}\underset{\mathrm{x}\rightarrow\mathrm{0}} {\mathrm{m}sin}\frac{\mathrm{1}}{\mathrm{x}}\:\neq\mathrm{f}\left(\mathrm{0}\right)\:,\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{is}\:\mathrm{not}\:\mathrm{continuous}.…

Question-25838

Question Number 25838 by ajfour last updated on 15/Dec/17 Commented by ajfour last updated on 15/Dec/17 $$\left({i}\right)\:{Determine}\:\angle\:\theta\:{such}\:{that}\: \\ $$$${projectile}\:{hits}\:{inclined}\:{plane} \\ $$$${perpendicularly}\:{at}\:{P}. \\ $$$$\left({ii}\right)\:{Find}\:{the}\:{coefficient}\:{of} \\ $$$${restitution}\:\boldsymbol{{e}}\:{such}\:{that}\:{after}\:…

x4-2×3-5×2-6x-2-x2-2x-2-

Question Number 91375 by banusalem last updated on 30/Apr/20 $${x}\mathrm{4}+\mathrm{2}{x}\mathrm{3}−\mathrm{5}{x}\mathrm{2}+\mathrm{6}{x}+\mathrm{2}/{x}\mathrm{2}−\mathrm{2}{x}+\mathrm{2}^{} \\ $$ Commented by Kunal12588 last updated on 30/Apr/20 $$\frac{{x}^{\mathrm{4}} +\mathrm{2}{x}^{\mathrm{3}} −\mathrm{5}{x}^{\mathrm{2}} +\mathrm{6}{x}+\mathrm{2}}{{x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{2}}? \\…