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Category: Differentiation

let-w-f-x-y-be-a-differentiable-function-where-x-rcos-and-y-rsin-show-that-f-x-2-f-y-2-w-x-2-1-r-2-w-y-2-help-me-sir-

Question Number 72886 by mhmd last updated on 04/Nov/19 $${let}\:{w}={f}\left({x},\:{y}\right)\:{be}\:{a}\:{differentiable}\:{function}\:{where}\:{x}={rcos}\theta\:{and}\:{y}={rsin}\theta\:{show}\:{that}\:\left({f}_{{x}} \right)^{\mathrm{2}} +\left({f}_{{y}} \right)^{\mathrm{2}} =\left({w}_{{x}} \right)^{\mathrm{2}} +\mathrm{1}/{r}^{\mathrm{2}} \left({w}_{{y}} \right)^{\mathrm{2}} ? \\ $$$${help}\:{me}\:{sir}\: \\ $$ Answered by…

if-w-f-u-and-v-where-f-uu-f-vv-0-and-u-x-2-y-2-2-and-v-xy-show-that-w-xx-w-yy-0-pleas-sir-help-me-

Question Number 72883 by mhmd last updated on 04/Nov/19 $${if}\:{w}={f}\left({u}\:{and}\:{v}\right)\:{where}\:{f}_{{uu}} +{f}_{{vv}} =\mathrm{0}\:{and}\:{u}=\left({x}^{\mathrm{2}} −{y}^{\mathrm{2}} \right)/\mathrm{2}\:{and}\:{v}={xy}\:{show}\:{that}\:{w}_{{xx}} +{w}_{{yy}} =\mathrm{0}\:? \\ $$$${pleas}\:{sir}\:{help}\:{me} \\ $$ Answered by mind is power…

advanced-calculus-evaluate-0-ln-x-x-2-1-3-2-x-dx-

Question Number 138377 by mnjuly1970 last updated on 13/Apr/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:……\:{advanced}\:…\:…\:…\:{calculus}…… \\ $$$$\:\:\:{evaluate}:::: \\ $$$$\:\:\:\:\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\infty} \frac{{ln}\left({x}\right)}{\:\sqrt[{\mathrm{3}}]{{x}^{\mathrm{2}} }\:.\left(\mathrm{2}+{x}\right)}\:{dx}=?? \\ $$$$\:\: \\ $$ Terms of…

If-a-polynomial-p-x-satisfies-the-identity-x-2015-x-2014-x-2013-1-x-3-x-2-x-1-p-x-Find-p-1-

Question Number 7294 by Tawakalitu. last updated on 21/Aug/16 $${If}\:{a}\:{polynomial}\:{p}\left({x}\right)\:{satisfies}\:{the}\:{identity} \\ $$$$ \\ $$$${x}^{\mathrm{2015}} \:+\:{x}^{\mathrm{2014}} \:+\:{x}^{\mathrm{2013}} \:+\:\mathrm{1}\:=\:\left({x}^{\mathrm{3}} \:+\:{x}^{\mathrm{2}} \:+\:{x}\:+\:\mathrm{1}\right){p}\left({x}\right) \\ $$$$ \\ $$$${Find}\:\:{p}\left(−\mathrm{1}\right) \\ $$…

What-is-derivative-for-this-function-a-b-x-1-c-1-2-x-1-x-2-d-1-6-x-1-x-2-x-3-

Question Number 72823 by Raxreedoroid last updated on 03/Nov/19 $$\mathrm{What}\:\mathrm{is}\:\mathrm{derivative}\:\mathrm{for}\:\mathrm{this}\:\mathrm{function} \\ $$$$\: \\ $$$${a}×{b}^{{x}−\mathrm{1}} ×{c}^{\frac{\mathrm{1}}{\mathrm{2}}\left({x}−\mathrm{1}\right)\left({x}−\mathrm{2}\right)} ×{d}^{\frac{\mathrm{1}}{\mathrm{6}}\left({x}−\mathrm{1}\right)\left({x}−\mathrm{2}\right)\left({x}−\mathrm{3}\right)} \\ $$ Answered by mind is power last updated…

Q1-A-balloon-in-the-shape-of-cone-surrmo-surmounted-by-hemispherical-top-the-daimeter-of-balloon-is-equal-to-hieght-of-cone-find-the-rate-of-change-of-volume-of-the

Question Number 7265 by 2402@gmail.com last updated on 20/Aug/16 $${Q}\mathrm{1}.\:{A}\:{balloon}\:{in}\:{the}\:{shape}\:{of}\:{cone}\:{surrmo} \\ $$$$\:\:\:\:\:\:\:\:\:\:{surmounted}\:{by}\:{hemispherical} \\ $$$$\:\:\:\:\:\:\:\:\:{top}\:.\:{the}\:{daimeter}\:{of}\:{balloon}\:{is} \\ $$$$\:\:\:\:\:\:\:{equal}\:{to}\:{hieght}\:{of}\:{cone}\:.\:{find}\:{the} \\ $$$$\:\:\:\:\:{rate}\:{of}\:{change}\:{of}\:{volume}\:{of}\:{the} \\ $$$$\:\:\:{balloone}\:{with}\:{respect}\:{to}\:{its}\:{total} \\ $$$$\:\:\:\:{height}\:\:{h}\:. \\ $$ Commented…