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Category: Geometry

Question-23262

Question Number 23262 by ajfour last updated on 28/Oct/17 Commented by ajfour last updated on 28/Oct/17 $$\frac{{CN}}{{AC}}=\frac{{x}}{{x}+{y}}\:\:\:;\:\:\:\frac{{AN}}{{AC}}=\frac{{y}}{{x}+{y}} \\ $$$$\frac{{MB}}{{AB}}\:=\frac{{y}}{{x}+{y}}\:;\:\:\frac{{AM}}{{AB}}=\frac{{x}}{{x}+{y}}\:. \\ $$$${based}\:{on}\:{similarity}\:\:{of}\:{triangles}. \\ $$$$\bigtriangleup{CNP}\:\sim\:\bigtriangleup{CAB} \\ $$$$\Rightarrow\:\:\frac{{CN}}{{AC}}=\frac{{NP}\left(={AM}\right)}{{AB}}=\frac{{CP}}{{BC}}…

Some-people-may-have-noticed-that-i-usually-calculate-areas-concerning-parabola-directly-without-applying-complicated-integral-calculus-Here-i-am-giving-you-the-backgroud-Actually-you-know-all-the

Question Number 88758 by mr W last updated on 12/Apr/20 $${Some}\:{people}\:{may}\:{have}\:{noticed}\:{that}\:{i} \\ $$$${usually}\:{calculate}\:{areas}\:{concerning} \\ $$$${parabola}\:{directly},\:{without}\:{applying} \\ $$$${complicated}\:{integral}\:{calculus}. \\ $$$${Here}\:{i}\:{am}\:{giving}\:{you}\:{the}\:{backgroud}.\: \\ $$$${Actually}\:{you}\:{know}\:{all}\:{these}\:{things}\:{and} \\ $$$${you}\:{are}\:{able}\:{to}\:{prove}\:{them}.\:{Maybe} \\ $$$${you}\:{just}\:{forget}\:{to}\:{apply}\:{them}.…

Question-88754

Question Number 88754 by ajfour last updated on 12/Apr/20 Commented by mr W last updated on 13/Apr/20 $${there}\:{is}\:{no}\:{unique}\:{solution}\:{for}\:\frac{{b}}{{a}}. \\ $$$${we}\:{can}\:{only}\:{find}\:{the}\:{correlation}\:{between} \\ $$$${a}\:{and}\:{b}. \\ $$ Commented…

Question-88731

Question Number 88731 by I want to learn more last updated on 12/Apr/20 Commented by john santu last updated on 12/Apr/20 $$\left.\mathrm{2}\left.{a}\right)\:\frac{{dy}}{{dx}}\:=\:{kx}−\mathrm{48}{x}^{−\mathrm{3}} \:\right]_{\left(−\mathrm{2},\mathrm{14}\right)} \:=\:\mathrm{0} \\…