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Author: Tinku Tara

Question-9960

Question Number 9960 by Tawakalitu ayo mi last updated on 19/Jan/17 Answered by sandy_suhendra last updated on 20/Jan/17 $$\left(\mathrm{i}\right)\:\mathrm{f}\left(−\mathrm{1}\right)=\left(−\mathrm{1}\right)^{\mathrm{2}} +\mathrm{3}\left(−\mathrm{1}\right)−\mathrm{1}=−\mathrm{3} \\ $$$$\:\:\:\:\:\:\mathrm{li}\underset{\mathrm{x}\rightarrow−\mathrm{1}} {\mathrm{m}}\:\mathrm{x}^{\mathrm{2}} +\mathrm{3x}−\mathrm{1}=−\mathrm{3} \\…

x-2-25-4-x-5-x-

Question Number 9959 by konen last updated on 19/Jan/17 $$\mid\mathrm{x}^{\mathrm{2}} −\mathrm{25}\mid=\mathrm{4}\mid\mathrm{x}−\mathrm{5}\mid\:\:\:\Rightarrow\Sigma\mathrm{x}=? \\ $$ Answered by mrW1 last updated on 19/Jan/17 $$\mid\left({x}−\mathrm{5}\right)\left({x}+\mathrm{5}\right)\mid=\mathrm{4}\mid{x}−\mathrm{5}\mid \\ $$$${x}=\mathrm{5}\:{or} \\ $$$$\mid{x}+\mathrm{5}\mid=\mathrm{4}\:{or}…

n-1-1-9n-2-3n-

Question Number 141030 by iloveisrael last updated on 15/May/21 $$\:\:\:\:\:\:\:\:\:\:\rightarrow\langle\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{\mathrm{9}{n}^{\mathrm{2}} +\mathrm{3}{n}}\:=?\:\rangle\leftarrow \\ $$ Commented by EDWIN88 last updated on 15/May/21 $$\:=\:\mathrm{1}−\mathrm{ln}\:\sqrt{\mathrm{3}}\:−\frac{\pi}{\mathrm{6}\sqrt{\mathrm{3}}} \\ $$$$\:\mathrm{S}=\frac{\mathrm{1}}{\mathrm{3}}\:\underset{\mathrm{n}=\mathrm{1}}…

Given-X-x-1-x-n-What-is-the-coefficient-of-x-5-n-4-propositions-a-5-n-10-b-n-5-c-n-10-d-n-5-

Question Number 141024 by mathocean1 last updated on 15/May/21 $${Given}\:{X}=\left(\sqrt{\sqrt{{x}}}+\frac{\mathrm{1}}{\:\sqrt{\sqrt{{x}}}}\right)^{{n}} . \\ $$$${What}\:{is}\:{the}\:{coefficient}\:{of}\:{x}^{\mathrm{5}−\frac{\mathrm{n}}{\mathrm{4}}\:?} \\ $$$$\mathrm{propositions}: \\ $$$${a}.\:\:\:\:\mathrm{5}\frac{{n}!}{\mathrm{10}!} \\ $$$${b}.\:\:\:\:\frac{{n}!}{\mathrm{5}!} \\ $$$${c}.\:\:\:\:\:\begin{pmatrix}{{n}}\\{\mathrm{10}}\end{pmatrix} \\ $$$${d}.\:\:\:\:\:\:\begin{pmatrix}{{n}}\\{\mathrm{5}}\end{pmatrix} \\ $$…

A-sound-wave-of-velocity-350-m-s-is-directed-towards-the-surface-of-water-If-the-ratio-of-the-wave-length-of-sound-in-water-to-that-in-air-is-425-100-calculate-the-velocity-of-the-wave-in-water-

Question Number 9954 by Tawakalitu ayo mi last updated on 18/Jan/17 $$\mathrm{A}\:\mathrm{sound}\:\mathrm{wave}\:\mathrm{of}\:\mathrm{velocity}\:\mathrm{350}\:\mathrm{m}/\mathrm{s}\:\mathrm{is}\:\mathrm{directed} \\ $$$$\mathrm{towards}\:\mathrm{the}\:\mathrm{surface}\:\mathrm{of}\:\mathrm{water}\:.\:\mathrm{If}\:\mathrm{the}\:\mathrm{ratio}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{wave}\:\mathrm{length}\:\mathrm{of}\:\mathrm{sound}\:\mathrm{in}\:\mathrm{water}\:\mathrm{to}\:\mathrm{that}\:\mathrm{in}\: \\ $$$$\mathrm{air}\:\mathrm{is}\:\mathrm{425}:\mathrm{100},\:\mathrm{calculate}\:\mathrm{the}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{wave}\:\mathrm{in}\:\mathrm{water}. \\ $$ Answered by sandy_suhendra…

x-y-8-xy-7-x-2-y-2-

Question Number 9953 by konen last updated on 18/Jan/17 $$\mathrm{x}−\mathrm{y}\:=\mathrm{8} \\ $$$$\mathrm{xy}=\mathrm{7}\:\:\Rightarrow\:\mathrm{x}^{\mathrm{2}} −\mathrm{y}^{\mathrm{2}} \:=? \\ $$ Answered by mrW1 last updated on 19/Jan/17 $$\left({x}−{y}\right)^{\mathrm{2}} =\mathrm{8}^{\mathrm{2}}…

If-is-eleminated-from-the-equation-x-a-cos-and-y-b-cos-then-prove-that-x-2-a-2-y-2-b-2-2xy-ab-cos-sin-2-

Question Number 75484 by vishalbhardwaj last updated on 11/Dec/19 $$\mathrm{If}\:\theta\:\mathrm{is}\:\mathrm{eleminated}\:\mathrm{from}\:\mathrm{the} \\ $$$$\mathrm{equation}\:{x}={a}\:{cos}\left(\theta−\alpha\right)\:\mathrm{and} \\ $$$${y}={b}\:{cos}\left(\theta−\beta\right)\:\mathrm{then}\:\mathrm{prove}\:\mathrm{that} \\ $$$$\frac{{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }\:+\:\frac{{y}^{\mathrm{2}} }{{b}^{\mathrm{2}} }\:−\frac{\mathrm{2}{xy}}{{ab}}\:{cos}\left(\alpha−\beta\right)\: \\ $$$$=\:{sin}^{\mathrm{2}} \left(\alpha−\beta\right) \\ $$…