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Question Number 91496 by Zainal Arifin last updated on 01/May/20 $$\mathrm{The}\mathrm{vector}\mathbf{a}=3\mathbf{i}-2\mathbf{j}+2\mathbf{k}\mathrm{and}\mathbf{b}=-\mathbf{i}-2\mathbf{k}$$$$\mathrm{are}\mathrm{the}\mathrm{adjacent}\mathrm{sides}\mathrm{of}\mathrm{a}\mathrm{parallelogram}.$$$$\mathrm{Then}\mathrm{angle}\mathrm{between}\mathrm{its}\mathrm{diagonal}\mathrm{is}$$ Commented by jagoll last updated on 01/May/20 $$\overset{\rightarrow}…

Question Number 91493 by Zainal Arifin last updated on 01/May/20 $$\underset{0}{\stackrel{\pi /2}{\int }}\log \left(\frac{4+3\sin x}{4+3\cos x}\right)dx=$$ Commented by mathmax by abdo last updated on 01/May/20 $${I}\:=\int_{\mathrm{0}}…

Question Number 25786 by gugalesweta@gmail.com last updated on 14/Dec/17 $$\mathrm{If}{C}_0+C_1+C_2+\dots +C_n=256,\mathrm{then}$$$${}^{2n}{C}_2\mathrm{is}\mathrm{equal}\mathrm{to}$$ Answered by mrW1 last updated…

Question Number 25741 by gugalesweta@gmail.com last updated on 13/Dec/17 $$\mathrm{If}\mathrm{the}\mathrm{sum}\mathrm{of}n\mathrm{terms}\mathrm{f}\mathrm{a}\mathrm{series}\mathrm{is}$$$$A{n}^2+Bn,\mathrm{where}A,B\mathrm{are}\mathrm{constants},$$$$\mathrm{then}\mathrm{it}\mathrm{is}\mathrm{an}\mathrm{AP}.$$ Commented by math solver last updated on 13/Dec/17…

Question Number 25334 by arvindbrar26068@gmail.com last updated on 08/Dec/17 $$\mathrm{Three}\mathrm{dice}\mathrm{are}\mathrm{rolled}.\mathrm{The}\mathrm{number}\mathrm{of}$$$$\mathrm{possible}\mathrm{outcomes}\mathrm{in}\mathrm{which}\mathrm{at}\mathrm{least}$$$$\mathrm{one}\mathrm{die}\mathrm{shows}5\mathrm{is}$$ Answered by ajfour last updated on 08/Dec/17 $${coeff}.\:{of}\:{x}^{\mathrm{1}} +{coeff}.\:{of}\:{x}^{\mathrm{2}}…