Question Number 88042 by jagoll last updated on 08/Apr/20 $$\mathrm{find}\:\mathrm{max}\:\mathrm{and}\:\mathrm{min}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\mathrm{function}\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\frac{\mathrm{5}}{−\mathrm{3cos}\:\mathrm{x}−\mathrm{4sin}\:\mathrm{x}} \\ $$ Answered by mr W last updated on 08/Apr/20 $$\mathrm{f}\left(\mathrm{x}\right)\:=\:\frac{\mathrm{5}}{−\mathrm{3cos}\:\mathrm{x}−\mathrm{4sin}\:\mathrm{x}} \\ $$$$=\:\frac{\mathrm{1}}{−\left(\frac{\mathrm{3}}{\mathrm{5}}\mathrm{cos}\:\mathrm{x}+\frac{\mathrm{4}}{\mathrm{5}}\mathrm{sin}\:\mathrm{x}\right)}…
Question Number 88040 by peter frank last updated on 08/Apr/20 $${Find}\:{the}\:{max}\:{and}\:{min} \\ $$$${of}\:{function} \\ $$$$\frac{{a}+{b}\mathrm{sin}\:{x}}{{b}+{a}\mathrm{sin}\:{x}} \\ $$$${where}\:{b}>{a}>\mathrm{0}\:{in}\:{the}\: \\ $$$${interval}\:\mathrm{0}\leqslant{x}\leqslant\mathrm{2}\pi.{sketch} \\ $$$${a}=\mathrm{4}\:{and}\:{b}=\mathrm{5} \\ $$ Commented by…
Question Number 88041 by jagoll last updated on 08/Apr/20 Answered by john santu last updated on 08/Apr/20 Commented by jagoll last updated on 08/Apr/20 $$\mathrm{great}==\mathrm{thank}\:\mathrm{you}\:\mathrm{sir}…
Question Number 153573 by otchereabdullai@gmail.com last updated on 08/Sep/21 $$\mathrm{A}\:\mathrm{commitee}\:\mathrm{of}\:\mathrm{5}\:\mathrm{men}\:\mathrm{and}\:\mathrm{3}\:\mathrm{women}\:\mathrm{is}\: \\ $$$$\mathrm{to}\:\mathrm{be}\:\mathrm{selected}\:\mathrm{from}\:\mathrm{10}\:\mathrm{men}\:\mathrm{and}\:\mathrm{8}\:\mathrm{women}. \\ $$$$\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{this}\:\mathrm{be}\:\mathrm{done}\:\mathrm{if} \\ $$$$\mathrm{a}\:\mathrm{particular}\:\mathrm{women}\:\mathrm{must}\:\mathrm{be}\:\mathrm{in}\:\mathrm{the}\: \\ $$$$\mathrm{committee} \\ $$ Answered by TheSupreme last updated…
Question Number 22503 by Tinkutara last updated on 19/Oct/17 $$\mathrm{If}\:\left({a}\:+\:{bx}\right)^{−\mathrm{2}} \:=\:\frac{\mathrm{1}}{\mathrm{4}}\:−\:\mathrm{3}{x}\:+\:…,\:\mathrm{then}\:\left({a},\:{b}\right)\:= \\ $$ Commented by mrW1 last updated on 19/Oct/17 $$\left(\mathrm{a}+\mathrm{bx}\right)^{−\mathrm{2}} =\mathrm{a}^{−\mathrm{2}} \left(\mathrm{1}+\frac{\mathrm{bx}}{\mathrm{a}}\right)^{−\mathrm{2}} =\mathrm{a}^{−\mathrm{2}} \left[\mathrm{1}−\mathrm{2}×\frac{\mathrm{bx}}{\mathrm{a}}+…\right]…
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Question Number 153572 by otchereabdullai@gmail.com last updated on 10/Sep/21 $$\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\:\mathrm{can}\:\mathrm{6}\:\mathrm{players}\:\mathrm{be}\: \\ $$$$\mathrm{lined}\:\mathrm{up}\:\mathrm{if}\:\mathrm{2}\:\mathrm{particlar}\:\mathrm{players}\:\mathrm{must}\: \\ $$$$\mathrm{not}\:\mathrm{stand}\:\mathrm{next}\:\mathrm{to}\:\mathrm{each}\:\mathrm{other} \\ $$ Commented by Tawa11 last updated on 08/Sep/21 $$\mathrm{Let}\:\mathrm{the}\:\mathrm{players}\:\mathrm{be}\:\:\:\:\mathrm{ABCDEF} \\…
Question Number 88039 by peter frank last updated on 08/Apr/20 $${Obtain}\:{the}\:{first}\:{four} \\ $$$${term}\:{of}\:{the}\:{expansion} \\ $$$$\left(\mathrm{4}−{x}\right)^{\frac{\mathrm{1}}{\mathrm{3}}} {when} \\ $$$$\left(\mathrm{1}\right)\mid{x}\mid<\mathrm{1} \\ $$$$\left({ii}\right)\mid{x}\mid>\mathrm{1} \\ $$ Answered by Rio…
Question Number 153574 by otchereabdullai@gmail.com last updated on 08/Sep/21 $$\left.\:\mathrm{1}\right)\:\mathrm{the}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{a}\:\mathrm{spherical}\:\mathrm{ballon}\:\mathrm{is}\: \\ $$$$\mathrm{increasing}\:\mathrm{at}\:\mathrm{the}\:\mathrm{rate}\:\mathrm{of}\:\mathrm{3cms}^{−\mathrm{1}} \:.\:\mathrm{find} \\ $$$$\mathrm{the}\:\mathrm{rate}\:\mathrm{in}\:\mathrm{the}\:\mathrm{surface}\:\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{ballon} \\ $$$$\mathrm{when}\:\mathrm{its}\:\mathrm{radius}\:\mathrm{is}\:\mathrm{10cm} \\ $$$$ \\ $$$$\left(\mathrm{2}\right)\:\mathrm{evaluate}\:\int\frac{\mathrm{5}}{\left(\mathrm{3x}−\mathrm{2}\right)^{\mathrm{4}} }\mathrm{dx} \\ $$ Answered…
Question Number 22499 by Tinkutara last updated on 19/Oct/17 $$\mathrm{A}\:\mathrm{cylinder}\:\mathrm{of}\:\mathrm{weight}\:\mathrm{200}\:\mathrm{N}\:\mathrm{is}\:\mathrm{supported} \\ $$$$\mathrm{on}\:\mathrm{a}\:\mathrm{smooth}\:\mathrm{horizontal}\:\mathrm{plane}\:\mathrm{by}\:\mathrm{a}\:\mathrm{light} \\ $$$$\mathrm{cord}\:{AC}\:\mathrm{and}\:\mathrm{pulled}\:\mathrm{with}\:\mathrm{force}\:\mathrm{of}\:\mathrm{400}\:\mathrm{N}. \\ $$$$\mathrm{The}\:\mathrm{normal}\:\mathrm{reaction}\:\mathrm{at}\:{B}\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$ Commented by Tinkutara last updated on 19/Oct/17…
Question Number 153568 by liberty last updated on 08/Sep/21 $${solve}\:{in}\:{x}\in\mathbb{C} \\ $$$$\:\mathrm{sin}\:{x}=\frac{\mathrm{3}}{\mathrm{2}} \\ $$$$ \\ $$ Answered by Ar Brandon last updated on 08/Sep/21 $$\mathrm{sin}{x}=\frac{\mathrm{3}}{\mathrm{2}}\:\Rightarrow{e}^{{ix}}…