Question Number 138074 by Caroline last updated on 09/Apr/21 $$ \\ $$ Let W be the set of all vectors ⎡⎣⎢xyx+y⎤⎦⎥ with x and y real. Find a basis of W⊥. { ⎡⎣⎢⎢⎢⎢⎢⎢⎤⎦⎥⎥⎥⎥⎥⎥ } $$ \\ $$…
Question Number 138075 by Caroline last updated on 09/Apr/21 $$ \\ $$Use the inner product ⟨f,g⟩=∫10f(x)g(x)dx in the vector space C0[0,1] of continuous functions on the domain [0,1] to…
Question Number 138059 by sahnaz last updated on 09/Apr/21 $$\frac{\mathrm{2}^{\mathrm{n}+\mathrm{1}} +\:\mathrm{3}^{\mathrm{n}+\mathrm{2}} +\:\mathrm{4}^{\mathrm{n}+\mathrm{3}} }{\mathrm{2}^{\mathrm{n}} +\mathrm{3}^{\mathrm{n}} +\mathrm{4}^{\mathrm{n}} }=? \\ $$ Answered by MJS_new last updated on 10/Apr/21…
Question Number 6982 by FilupSmith last updated on 04/Aug/16 $${n}={p}^{{n}} −{pn} \\ $$$${n}=? \\ $$ Commented by sou1618 last updated on 05/Aug/16 $${if}\:\:{n}\in\mathbb{N}…. \\ $$$${n}={p}\left({p}^{{n}−\mathrm{1}}…
Question Number 72496 by Shamim last updated on 29/Oct/19 $$\mathrm{if}\:\mathrm{a}^{\mathrm{x}} =\mathrm{b},\:\mathrm{b}^{\mathrm{y}} =\mathrm{c},\:\mathrm{c}^{\mathrm{z}} =\mathrm{a}\:\mathrm{then}\:\mathrm{prove}\:\mathrm{that}, \\ $$$$\mathrm{xyz}=\mathrm{0}. \\ $$ Answered by som(math1967) last updated on 29/Oct/19 $${a}^{{x}}…
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Question Number 72488 by aliesam last updated on 29/Oct/19 $$\begin{cases}{\mathrm{4}{xy}=\mathrm{1}}\\{\mathrm{4}\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }\:\left(\:{y}−\sqrt{\mathrm{1}−{y}^{\mathrm{2}} }\:\right)=\mathrm{1}}\end{cases} \\ $$$$ \\ $$$${Resolver}\:{elsistema}\:{en}\:{R} \\ $$ Answered by behi83417@gmail.com last updated on 30/Oct/19…
Question Number 72483 by TawaTawa last updated on 29/Oct/19 $$\underset{\mathrm{k}\:=\:\mathrm{0}} {\overset{\mathrm{n}} {\sum}}\:\mathrm{cos}\left(\mathrm{a}\:+\:\mathrm{kb}\right) \\ $$ Answered by Tanmay chaudhury last updated on 29/Oct/19 $${T}_{{k}} ={cos}\left({a}+{kb}\right) \\…
Question Number 138014 by bobhans last updated on 09/Apr/21 $${Given}\:{p}=\mathrm{1}+{i}\sqrt{\mathrm{5}}\:{and}\:{q}=\mathrm{1}−{i}\sqrt{\mathrm{5}}\: \\ $$$${prove}\:{that}\:{p}^{\mathrm{6}} +{q}^{\mathrm{6}} \:=\:\mathrm{2}^{\mathrm{5}} ×\mathrm{11} \\ $$ Answered by bobhans last updated on 09/Apr/21 $$\:{from}\:{the}\:{given}\:{we}\:{have}\:…
Question Number 6922 by Tawakalitu. last updated on 02/Aug/16 $${x}^{{y}} \:=\:{y}^{{x}} \\ $$$$ \\ $$$${make}\:{x}\:{the}\:{subject}\:{of}\:{the}\:{formular} \\ $$ Commented by Yozzii last updated on 03/Aug/16 $${x}^{{y}}…