Question Number 9912 by ridwan balatif last updated on 15/Jan/17 Answered by mrW1 last updated on 15/Jan/17 $$\underset{{x}\rightarrow\pi} {\mathrm{lim}}\:\frac{\mathrm{1}+\mathrm{cos}\:{x}}{\left({x}−\pi\right)^{\mathrm{2}} } \\ $$$${t}={x}−\pi \\ $$$${x}={t}+\pi \\…
Question Number 75444 by vishalbhardwaj last updated on 11/Dec/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{angle}\:\mathrm{b}/\mathrm{w}\:\mathrm{the}\:\mathrm{lines} \\ $$$$\mathrm{whose}\:\mathrm{direction}\:\mathrm{cosines}\:\mathrm{are}\:\mathrm{given} \\ $$$$\mathrm{by}\:\mathrm{the}\:\mathrm{equations}\:{l}\:+\:{m}\:+\:{n}\:=\:\mathrm{0} \\ $$$$,\:{l}^{\mathrm{2}} \:+\:{m}^{\mathrm{2}} \:−\:{n}^{\mathrm{2}} \:=\:\mathrm{0}\:?? \\ $$$$ \\ $$ Commented by…
Question Number 9908 by ridwan balatif last updated on 15/Jan/17 Commented by ridwan balatif last updated on 15/Jan/17 $$\:\mathrm{x}\:\mathrm{maximum}\:=…? \\ $$ Answered by mrW1 last…
Question Number 75445 by vishalbhardwaj last updated on 11/Dec/19 $$\mathrm{If}\:\mathrm{a}\:\mathrm{variable}\:\mathrm{line}\:\mathrm{in}\:\mathrm{two}\:\mathrm{adjacent} \\ $$$$\mathrm{positions}\:\mathrm{has}\:\mathrm{direction}\:\mathrm{cosines} \\ $$$${l},{m},\:{n}\:\mathrm{and}\:{l}+\delta{l},\:{m}+\delta{m},\:{n}+\delta{n} \\ $$$$,\:\mathrm{show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{small}\:\mathrm{angle}\:\delta\theta\: \\ $$$$\mathrm{b}/\mathrm{w}\:\mathrm{the}\:\mathrm{two}\:\mathrm{positions}\:\mathrm{is}\:\mathrm{given}\:\mathrm{by} \\ $$$$\delta\theta^{\mathrm{2}} \:=\:\delta{l}^{\mathrm{2}} \:+\:\delta{m}^{\mathrm{2}} \:+\:\delta{n}^{\mathrm{2}} \:\:?? \\…
Question Number 75439 by otchereabdullai@gmail.com last updated on 11/Dec/19 $$\mathrm{A}\:\mathrm{man}\:\mathrm{left}\:\mathrm{his}\:\mathrm{office}\:\mathrm{in}\:\mathrm{a}\:\mathrm{car}\:\mathrm{at}\:\mathrm{10am} \\ $$$$\mathrm{to}\:\mathrm{restaurant}\:\mathrm{30km}\:\mathrm{away}.\:\mathrm{He}\:\mathrm{expected} \\ $$$$\mathrm{to}\:\mathrm{arrive}\:\mathrm{at}\:\mathrm{11}:\mathrm{10am}\:\mathrm{but}\:\mathrm{had}\:\mathrm{to}\:\mathrm{stop}\: \\ $$$$\mathrm{15km}\:\mathrm{from}\:\mathrm{the}\:\mathrm{office}\:\mathrm{for}\:\mathrm{15}\:\mathrm{minutes}\:. \\ $$$$\mathrm{He}\:\mathrm{arrived}\:\mathrm{at}\:\mathrm{the}\:\mathrm{restaurant}\:\mathrm{5}\:\mathrm{minutes}\: \\ $$$$\mathrm{late}. \\ $$$$\mathrm{a}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{initial}\:\mathrm{speed} \\ $$$$\mathrm{b}.\:\mathrm{Draw}\:\mathrm{a}\:\mathrm{travel}\:\mathrm{graph}\:\mathrm{for}\:\mathrm{the}\:\mathrm{whole}\:\mathrm{journey} \\…
Question Number 75426 by otchereabdullai@gmail.com last updated on 10/Dec/19 $$\mathrm{A}\:\mathrm{boy}\:\mathrm{has}\:\mathrm{to}\:\mathrm{cover}\:\:\mathrm{4km}\:\:\mathrm{to}\: \\ $$$$\mathrm{catch}\:\mathrm{a}\:\mathrm{bus}.\:\mathrm{He}\:\mathrm{walks}\:\mathrm{part}\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{distance}\:\mathrm{as}\:\mathrm{3km}/\mathrm{h}\:\mathrm{and}\:\mathrm{run}\:\mathrm{the}\:\mathrm{rest}\:\mathrm{at} \\ $$$$\mathrm{5km}/\mathrm{h}\:\mathrm{if}\:\mathrm{he}\:\mathrm{takes}\:\mathrm{1hour}\:\mathrm{to}\:\mathrm{complete}\: \\ $$$$\mathrm{the}\:\mathrm{distance}.\:\mathrm{For}\:\mathrm{how}\:\mathrm{many}\:\mathrm{kilometres} \\ $$$$\mathrm{does}\:\mathrm{he}\:\mathrm{walk} \\ $$ Answered by MJS…
Question Number 140937 by harckinwunmy last updated on 14/May/21 $${can}\:{someone}\:{please}\:{share}\:{maple}\:{with}\:{me}\:{or}\:{show}\:{me}\:{the}\:{site}\:{to}\:{download}\:{free}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 75402 by vishalbhardwaj last updated on 10/Dec/19 $$\mathrm{Explain}\:\mathrm{the}\:\mathrm{proof}\: \\ $$$$\mathrm{with}\:\mathrm{appropriate} \\ $$$$\mathrm{diagram}\::\: \\ $$$$\mathrm{Lim}_{{h}\rightarrow\mathrm{0}} \frac{{f}\left({x}\right)−{f}\left({x}−{h}\right)}{−{h}}\: \\ $$$$\:\:\:=\:\frac{{dy}}{{dx}}\:,\:\mathrm{where}\:{y}\:=\:{f}\left({x}\right) \\ $$ Commented by Kunal12588 last…
Question Number 9844 by ridwan balatif last updated on 07/Jan/17 Answered by ridwan balatif last updated on 08/Jan/17 $$\mathrm{misalkan}\::\:\mathrm{y}=\mathrm{ax}^{\mathrm{2}} −\mathrm{bx}+\mathrm{c} \\ $$$$\mathrm{ketika}\:\mathrm{x}=−\mathrm{2}\rightarrow\mathrm{41}=\mathrm{4a}+\mathrm{2b}+\mathrm{c}…\left(\mathrm{1}\right) \\ $$$$\mathrm{ketika}\:\mathrm{x}=\mathrm{5}\:\:\:\:\rightarrow\mathrm{20}=\mathrm{25a}−\mathrm{5b}+\mathrm{c}…\left(\mathrm{2}\right) \\…
Question Number 9839 by ridwan balatif last updated on 07/Jan/17 Commented by ridwan balatif last updated on 07/Jan/17 $$\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:\mathrm{is}\:\mathrm{real}\:\mathrm{that}\:\mathrm{fill}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{x}+\mathrm{y}=\mathrm{2} \\ $$$$\mathrm{if}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\sqrt{\mathrm{16}+\mathrm{3x}^{\mathrm{2}} }+\mathrm{2}\sqrt{\mathrm{73}+\mathrm{3y}^{\mathrm{2}} }=\mathrm{m} \\ $$$$\mathrm{count}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{m}^{\mathrm{2}}…