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Author: Tinku Tara

nice-calculus-I-lim-x-0-cos-x-1-3-cot-x-solution-sin-x-x-x-0-

Question Number 139949 by mnjuly1970 last updated on 02/May/21 $$\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:………{nice}\:….\:\ast\:….\ast\:….\:\ast\:….{calculus}\left({I}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\boldsymbol{\phi}=\:\:{lim}_{{x}\rightarrow\mathrm{0}^{+} } \left(\sqrt[{\mathrm{3}}]{{cos}\left(\sqrt{{x}}\:\right.}\:\right)^{{cot}\left({x}\right)} =?? \\ $$$$\:\:\:\:\:\:\:\:{solution}……… \\ $$$$\:\:\:\:\:\:\:{sin}\left({x}\right)\:\approx\:{x}\:\:\:\:\:\:\:\:\left({x}\:\rightarrow\:\mathrm{0}\:\right) \\ $$$$\:\:\:\:\:\:\:\boldsymbol{\phi}:=\:\:{lim}_{{x}\rightarrow\mathrm{0}^{+} } \left\{\left({cos}\left(\sqrt{{x}}\:\right)\right)^{\frac{\mathrm{1}}{\mathrm{3}}}…

If-x-2-xy-y-2-0-find-x-x-y-2023-y-x-y-2023-

Question Number 139948 by qaz last updated on 02/May/21 $${If}\:\:\:\:{x}^{\mathrm{2}} +{xy}+{y}^{\mathrm{2}} =\mathrm{0} \\ $$$${find}\:::\:\:\:\left(\frac{{x}}{{x}+{y}}\right)^{\mathrm{2023}} +\left(\frac{{y}}{{x}+{y}}\right)^{\mathrm{2023}} \\ $$ Answered by Rasheed.Sindhi last updated on 04/May/21 $$\frac{{x}}{{y}}+\frac{{y}}{{x}}=−\mathrm{1}\Rightarrow\frac{{y}}{{x}}=−\left(\mathrm{1}+\frac{{x}}{{y}}\right)…

a-b-c-are-given-real-constants-p-q-r-t-are-unknowns-from-which-we-can-choose-values-of-two-of-them-non-zero-and-have-to-determine-the-other-two-non-zero-obeying-two-equations-given-below-p-2-

Question Number 74412 by ajfour last updated on 24/Nov/19 $${a},{b},{c}\:{are}\:{given}\:{real}\:{constants}. \\ $$$${p},{q},{r},{t}\:{are}\:{unknowns}\:{from}\:{which} \\ $$$${we}\:{can}\:{choose}\:{values}\:{of}\:{two}\:{of} \\ $$$${them}\:\left({non}\:{zero}\right)\:{and}\:{have}\:{to}\: \\ $$$${determine}\:{the}\:{other}\:{two}\:\left({non}\:{zero}\right), \\ $$$${obeying}\:\:{two}\:{equations}\:{given}\:{below} \\ $$$$\:{p}^{\mathrm{2}} +{q}\left(\mathrm{1}+{bq}\right){t}^{\mathrm{2}} +{q}\left({ap}+{br}\right){t} \\…

Question-8877

Question Number 8877 by tawakalitu last updated on 03/Nov/16 Commented by Rasheed Soomro last updated on 03/Nov/16 $$\mathrm{Not}\:\mathrm{related}\:\mathrm{to}\:\mathrm{this}\:\mathrm{question}. \\ $$$$\mathrm{Please}\:\mathrm{see}\:\mathrm{my}\:\mathrm{answers}\:\mathrm{to}\:\mathrm{your} \\ $$$$\mathrm{question}\:#\mathrm{8847}\:\:\:\mathrm{and}\:\mathrm{confirm} \\ $$$$\mathrm{whether}\:\mathrm{the}\:\mathrm{answer}\:\mathrm{is}\:\mathrm{correct} \\…

A-rocket-vertically-from-the-surface-of-the-earth-with-an-initil-velocity-v-o-show-that-its-velocity-v-at-height-h-is-given-by-v-o-2-v-2-2gh-1-h-R-where-R-is-radius-of-earth-and-g-is-the

Question Number 74411 by peter frank last updated on 24/Nov/19 $${A}\:{rocket}\:{vertically}\:{from} \\ $$$${the}\:{surface}\:{of}\:{the}\:{earth} \\ $$$${with}\:{an}\:{initil}\:{velocity}\left({v}_{{o}} \right) \\ $$$${show}\:{that}\:{its}\:{velocity}\:{v} \\ $$$${at}\:{height}\:{h}\:{is}\:{given}\:{by} \\ $$$${v}_{{o}} ^{\mathrm{2}} −{v}^{\mathrm{2}} =\frac{\mathrm{2}{gh}}{\mathrm{1}+\frac{{h}}{{R}}}…

simplify-5y-2-6x-4-

Question Number 8873 by j.masanja06@gmail.com last updated on 03/Nov/16 $$\mathrm{simplify}\:\mathrm{5y}^{\mathrm{2}} \:×\:\mathrm{6x}^{\mathrm{4}} \\ $$ Answered by FilupSmith last updated on 03/Nov/16 $$\mathrm{5}{y}^{\mathrm{2}} ×\mathrm{6}{x}^{\mathrm{4}} =\mathrm{30}{y}^{\mathrm{2}} {x}^{\mathrm{4}} \\…