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Category: Relation and Functions

let-A-1-2-1-1-1-calculate-A-n-2-find-e-A-and-e-A-3-calculate-cosA-and-sinA-4-calculate-ch-A-and-sh-A-

Question Number 74794 by mathmax by abdo last updated on 30/Nov/19 $${let}\:{A}\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\mathrm{2}}\\{−\mathrm{1}\:\:\:\:\:\:\:\:\mathrm{1}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{A}^{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:\:{e}^{{A}} \:{and}\:{e}^{−{A}} \\ $$$$\left.\mathrm{3}\right)\:{calculate}\:\:{cosA}\:{and}\:{sinA} \\ $$$$\left.\mathrm{4}\right)\:{calculate}\:\:{ch}\left({A}\right)\:{and}\:{sh}\left({A}\right) \\ $$ Commented by…

f-x-y-f-2x-2y-2y-2x-IF-f-2-x-0-f-2-x-k-0-Find-minimum-value-of-k-gt-0-

Question Number 9030 by Nemish Zawar last updated on 15/Nov/16 $${f}\left({x}\:,{y}\right)={f}\left(\mathrm{2}{x}+\mathrm{2}{y},\:\mathrm{2}{y}−\mathrm{2}{x}\right) \\ $$$$\mathrm{I}{F}\:{f}\left(\mathrm{2}^{{x}} ,\mathrm{0}\right)={f}\left(\mathrm{2}^{{x}+{k}} ,\mathrm{0}\right) \\ $$$$\boldsymbol{\mathrm{F}}\mathrm{ind}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\mathrm{k}>\mathrm{0}. \\ $$ Terms of Service Privacy Policy Contact:…

Question-140076

Question Number 140076 by bobhans last updated on 04/May/21 Commented by mr W last updated on 05/May/21 $${eqn}.\:\mathrm{2}{x}−\mathrm{3}{y}+{a}=\mathrm{0}\:{fixes}\:{only}\:{the} \\ $$$${inclination}\:{of}\:{the}\:{line}.\:{the}\:{vertical} \\ $$$${position}\:{will}\:{be}\:{determined}\:{by}\:{the} \\ $$$${value}\:{of}\:{a}.\:{the}\:{distance}\:{from}\:{point} \\…