Menu Close

Author: Tinku Tara

A-cone-of-height-10-cm-and-base-radius-3-cm-is-held-vertex-down-and-is-filled-with-sand-A-hole-in-the-bottom-of-the-cone-allows-the-sand-to-escape-at-a-steady-rate-of-0-5-cm-3-s-find-the-rate-tha

Question Number 6880 by Tawakalitu. last updated on 01/Aug/16 $${A}\:{cone}\:{of}\:{height}\:\mathrm{10}\:{cm}\:{and}\:{base}\:{radius}\:\mathrm{3}\:{cm}\:{is}\:{held}\:{vertex}\: \\ $$$${down}\:{and}\:{is}\:{filled}\:{with}\:{sand}\:.\:{A}\:{hole}\:{in}\:{the}\:{bottom}\:{of}\:{the}\:{cone} \\ $$$${allows}\:{the}\:{sand}\:{to}\:{escape}\:{at}\:{a}\:{steady}\:{rate}\:{of}\:\mathrm{0}.\mathrm{5}\:{cm}^{\mathrm{3}} /{s}.\:{find}\:{the} \\ $$$${rate}\:{that}\:{the}\:{depth}\:{is}\:{decreasing}\:{when}\:{the}\:{depth}\:{is}\:\mathrm{2}\:{cm}. \\ $$ Terms of Service Privacy Policy Contact:…

the-bottom-1-2-of-log-1-2-x-wants-to-make-2-2-how-

Question Number 6877 by sarathon last updated on 01/Aug/16 $$\mathrm{the}\:\mathrm{bottom}\left(\frac{\mathrm{1}}{\mathrm{2}}\right)\:\mathrm{of}\:\:{log}_{\frac{\mathrm{1}}{\mathrm{2}}} {x}\:\:\mathrm{wants}\:\mathrm{to}\:\mathrm{make}\:\:\mathrm{2} \\ $$$$\mathrm{2}\:\:\mathrm{how}?? \\ $$$$ \\ $$ Commented by Tawakalitu. last updated on 01/Aug/16 $${log}_{\frac{\mathrm{1}}{\mathrm{2}}}…

For-vectors-v-and-u-where-v-u-R-n-What-is-the-angle-between-v-and-u-both-are-from-origin-

Question Number 6875 by FilupSmith last updated on 01/Aug/16 $$\mathrm{For}\:\mathrm{vectors}\:\boldsymbol{{v}}\:\mathrm{and}\:\boldsymbol{{u}}\:\mathrm{where}: \\ $$$$\boldsymbol{{v}},\boldsymbol{{u}}\in\mathbb{R}^{{n}} \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{angle}\:\mathrm{between}\:\boldsymbol{{v}}\:\mathrm{and}\:\boldsymbol{{u}}? \\ $$$$\left(\mathrm{both}\:\mathrm{are}\:\mathrm{from}\:\mathrm{origin}\right) \\ $$ Commented by prakash jain last updated on…

Question-72408

Question Number 72408 by ajfour last updated on 28/Oct/19 Commented by ajfour last updated on 28/Oct/19 $${All}\:{three}\:{coloured}\:{regions}\:{A},\:{B},\:{C} \\ $$$${have}\:{the}\:{same}\:{area}.\:{Center}\:{of} \\ $$$${circle}\:{lies}\:{on}\:{major}\:{axis}\:{of}\:{ellipse}. \\ $$$${Locate}\:{the}\:{center}\:{of}\:{circle}\:{in}\:{terms}\: \\ $$$${of}\:{ellipse}\:{parameters}\:{a}\:{and}\:{b}.…

From-a-poin-P-outside-a-circle-a-tangent-is-drawn-to-a-circle-at-T-from-P-a-line-is-drawn-to-circle-at-A-and-B-Find-lenth-PT-giving-that-i-PA-6-AB-8-ii-PB-18-PT-12-

Question Number 137946 by otchereabdullai@gmail.com last updated on 08/Apr/21 $$\mathrm{From}\:\mathrm{a}\:\mathrm{poin}\:\mathrm{P}\:\mathrm{outside}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{a} \\ $$$$\mathrm{tangent}\:\mathrm{is}\:\mathrm{drawn}\:\mathrm{to}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{at}\:\mathrm{T}. \\ $$$$\mathrm{from}\:\mathrm{P}\:\mathrm{a}\:\mathrm{line}\:\mathrm{is}\:\mathrm{drawn}\:\mathrm{to}\:\mathrm{circle}\:\mathrm{at} \\ $$$$\mathrm{A}\:\mathrm{and}\:\mathrm{B}\:.\:\mathrm{Find}\:\mathrm{lenth}\:\mathrm{PT}\:\mathrm{giving}\:\mathrm{that} \\ $$$$\mathrm{i}.\:\mathrm{PA}\:=\mathrm{6} \\ $$$$\:\:\:\:\mathrm{AB}=\mathrm{8} \\ $$$$\mathrm{ii}.\:\mathrm{PB}=\mathrm{18} \\ $$$$\:\:\:\:\:\mathrm{PT}=\mathrm{12} \\…

Eliminate-if-x-a-sec-3-and-y-b-tan-3-

Question Number 6872 by hanandmishra026@gmail.com last updated on 31/Jul/16 $${Eliminate}\:\theta\:\:{if}\:{x}={a}\:\mathrm{sec}^{\mathrm{3}} \theta\:{and}\:\:{y}={b}\:\mathrm{tan}^{\mathrm{3}} \theta \\ $$ Commented by Yozzii last updated on 31/Jul/16 $${sec}\theta=\left(\frac{{x}}{{a}}\right)^{\mathrm{1}/\mathrm{3}} ,\:{tan}\theta=\left(\frac{{y}}{{b}}\right)^{\mathrm{1}/\mathrm{3}} \\ $$$${sec}^{\mathrm{2}}…