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Author: Tinku Tara

Question-89320

Question Number 89320 by peter frank last updated on 16/Apr/20 Commented by Rio Michael last updated on 16/Apr/20 $$\mathrm{it}\:\mathrm{means}\:\mathrm{the}\:\mathrm{planet}\:\mathrm{has}\:\mathrm{to}\:\mathrm{be}\:\mathrm{the}\:\mathrm{dorminate}\:\mathrm{gravitational} \\ $$$$\mathrm{body}\:\mathrm{on}\:\mathrm{its}\:\mathrm{orbit}\:\mathrm{round}\:\mathrm{the}\:\mathrm{sun},\:\mathrm{basically}\:\mathrm{it}\:\mathrm{has}\:\mathrm{to}\:\mathrm{send}\:\mathrm{out} \\ $$$$\mathrm{all}\:\mathrm{bodies}\:\mathrm{from}\:\mathrm{its}\:\mathrm{orbit}. \\ $$…

A-function-f-is-define-by-f-3-2sinx-for-0-x-360-find-the-range-of-f-

Question Number 23785 by tawa tawa last updated on 06/Nov/17 $$\mathrm{A}\:\mathrm{function}\:\mathrm{f}\:\mathrm{is}\:\mathrm{define}\:\mathrm{by}\:\:\mathrm{f}\::\:\rightarrow\:\mathrm{3}\:−\:\mathrm{2sinx},\:\:\mathrm{for}\:\:\mathrm{0}\:\leqslant\:\mathrm{x}\:\leqslant\:\mathrm{360} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{range}\:\mathrm{of}\:\:\mathrm{f} \\ $$ Answered by mrW1 last updated on 06/Nov/17 $$\mathrm{sin}\:{x}\in\left[−\mathrm{1},+\mathrm{1}\right] \\ $$$${f}=\mathrm{3}−\mathrm{2sin}\:{x}\:\in\left[\mathrm{1},\mathrm{5}\right]…

dx-sin-3-2x-cos-3-2x-

Question Number 89318 by M±th+et£s last updated on 16/Apr/20 $$\int\frac{{dx}}{{sin}^{\mathrm{3}} \left(\mathrm{2}{x}\right)+{cos}^{\mathrm{3}} \left(\mathrm{2}{x}\right)} \\ $$ Answered by MJS last updated on 16/Apr/20 $$\int\frac{{dx}}{\mathrm{sin}^{\mathrm{3}} \:\mathrm{2}{x}\:+\mathrm{cos}^{\mathrm{3}} \:\mathrm{2}{x}}= \\…

A-ball-is-projected-from-a-point-O-with-an-initial-velocity-u-and-angle-with-the-horizontal-ground-Given-that-it-travels-such-that-it-just-clears-two-walls-of-height-h-and-distances-2h-and-4h-fro

Question Number 89319 by Rio Michael last updated on 16/Apr/20 $$\:\mathrm{A}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{projected}\:\mathrm{from}\:\mathrm{a}\:\mathrm{point}\:\mathrm{O}\:\mathrm{with}\:\mathrm{an}\:\mathrm{initial} \\ $$$$\mathrm{velocity}\:{u}\:\mathrm{and}\:\mathrm{angle}\:\theta\:\mathrm{with}\:\mathrm{the}\:\mathrm{horizontal}\:\mathrm{ground}. \\ $$$$\:\mathrm{Given}\:\mathrm{that}\:\mathrm{it}\:\mathrm{travels}\:\mathrm{such}\:\mathrm{that}\:\mathrm{it}\:\mathrm{just}\:\mathrm{clears}\:\mathrm{two}\:\mathrm{walls} \\ $$$$\mathrm{of}\:\mathrm{height}\:{h}\:\mathrm{and}\:\mathrm{distances}\:\mathrm{2}{h}\:\mathrm{and}\:\mathrm{4}{h}\:\mathrm{from}\:\mathrm{O}\:\mathrm{respectively}. \\ $$$$\left(\mathrm{a}\right)\:\mathrm{find}\:\mathrm{the}\:\mathrm{tangent}\:\mathrm{of}\:\mathrm{the}\:\mathrm{angle}\:\theta \\ $$$$\:\left(\mathrm{b}\right)\:\mathrm{The}\:\mathrm{time}\:\mathrm{of}\:\mathrm{flight}\:\mathrm{of}\:\mathrm{the}\:\mathrm{ball} \\ $$$$\left(\mathrm{c}\right)\:\mathrm{The}\:\mathrm{range}\:\mathrm{of}\:\mathrm{the}\:\mathrm{ball}. \\ $$…

P-X-299-318-standard-deviation-42-P-z-299-318-42-P-z-0-45-Is-it-P-z-0-45-P-0-45-lt-z-lt-0-44-If-not-how-to-find-P-z-0-45-

Question Number 23781 by alibhar last updated on 06/Nov/17 $${P}\left({X}=\mathrm{299}\right),\:\mu=\mathrm{318},\:{standard}\:{deviation}=\mathrm{42} \\ $$$${P}\left({z}=\frac{\mathrm{299}−\mathrm{318}}{\mathrm{42}}\right) \\ $$$${P}\left({z}=−\mathrm{0}.\mathrm{45}\right) \\ $$$$ \\ $$$${Is}\:{it}\:{P}\left({z}=−\mathrm{0}.\mathrm{45}\right)={P}\left(−\mathrm{0}.\mathrm{45}<{z}<−\mathrm{0}.\mathrm{44}\right)? \\ $$$$ \\ $$$${If}\:{not},\:{how}\:{to}\:{find}\:{P}\left({z}=−\mathrm{0}.\mathrm{45}\right)? \\ $$ Terms…

find-dx-x-x-1-2-

Question Number 89317 by abdomathmax last updated on 16/Apr/20 $${find}\:\int\:\:\:\:\:\frac{{dx}}{\left({x}+\sqrt{{x}−\mathrm{1}}\right)^{\mathrm{2}} } \\ $$ Commented by mathmax by abdo last updated on 17/Apr/20 $${parametric}\:{method}\:{let}\:{f}\left({a}\right)\:=\int\:\frac{{dx}}{{a}+{x}+\sqrt{{x}−\mathrm{1}}} \\ $$$${we}\:{have}\:{f}^{'}…