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Question Number 179886 Answers: 0 Comments: 5

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Question Number 179094 Answers: 0 Comments: 1

determine 1)L^− [((s^3 +3)/(s(s^2 +9)))] 2)L^− [(4/((s^2 +2s+5)^2 ))] L^− is the inverse laplace transform

$${determine} \\ $$$$\left.\mathrm{1}\right)\mathcal{L}^{−} \left[\frac{{s}^{\mathrm{3}} +\mathrm{3}}{{s}\left({s}^{\mathrm{2}} +\mathrm{9}\right)}\right] \\ $$$$\left.\mathrm{2}\right)\mathcal{L}^{−} \left[\frac{\mathrm{4}}{\left({s}^{\mathrm{2}} +\mathrm{2}{s}+\mathrm{5}\right)^{\mathrm{2}} }\right] \\ $$$$\mathcal{L}^{−} \:{is}\:{the}\:{inverse}\:{laplace}\:{transform} \\ $$

Question Number 179093 Answers: 0 Comments: 0

find the laplace transform of f(t)= t^2 cos(2t) u(t) u(t) is unit step function u(t)= { ((1 t≥0)),((0 t<0)) :}

$$\:{find}\:{the}\:{laplace}\:{transform}\:{of} \\ $$$${f}\left({t}\right)=\:{t}^{\mathrm{2}} \:{cos}\left(\mathrm{2}{t}\right)\:{u}\left({t}\right) \\ $$$${u}\left({t}\right)\:{is}\:{unit}\:{step}\:{function}\: \\ $$$${u}\left({t}\right)=\begin{cases}{\mathrm{1}\:\:\:\:\:\:\:{t}\geqslant\mathrm{0}}\\{\mathrm{0}\:\:\:\:\:\:{t}<\mathrm{0}}\end{cases} \\ $$$$ \\ $$

Question Number 178877 Answers: 1 Comments: 0

Two forces F1 and F2 of magnitude 3 and 4 Newtons are inclined at angles 150° and 60° to the positive x-axis respectively . Find the resultant force?

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use convolution theorm to find y(t) if Y(s)=(5/((s^2 +1)(s^2 +25)))

$${use}\:{convolution}\:{theorm}\:{to}\:{find}\:{y}\left({t}\right) \\ $$$${if}\:{Y}\left({s}\right)=\frac{\mathrm{5}}{\left({s}^{\mathrm{2}} +\mathrm{1}\right)\left({s}^{\mathrm{2}} +\mathrm{25}\right)} \\ $$

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Question Number 178639 Answers: 0 Comments: 0

A set of five numbers has: mode 24 median 21 mean 20 what are the five numbers?

$$\mathrm{A}\:\mathrm{set}\:\mathrm{of}\:\mathrm{five}\:\mathrm{numbers}\:\mathrm{has}: \\ $$$$\mathrm{mode}\:\mathrm{24} \\ $$$$\mathrm{median}\:\mathrm{21} \\ $$$$\mathrm{mean}\:\mathrm{20} \\ $$$$\mathrm{what}\:\mathrm{are}\:\mathrm{the}\:\mathrm{five}\:\mathrm{numbers}? \\ $$

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Question Number 178074 Answers: 0 Comments: 3

question posted by spillover in 12.10.2022

$${question}\:{posted}\:{by}\:{spillover}\:{in} \\ $$$$\mathrm{12}.\mathrm{10}.\mathrm{2022} \\ $$

Question Number 177957 Answers: 2 Comments: 0

let a > 0 find the sum of the infinite series 1 + (((loga)^2 )/(2!)) + (((loga)^4 )/(4!)) + (((loga)^6 )/(6!))...

$$\mathrm{let}\:\:\mathrm{a}\:>\:\mathrm{0}\:\mathrm{find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{infinite}\: \\ $$$$\mathrm{series} \\ $$$$\:\mathrm{1}\:+\:\frac{\left(\mathrm{loga}\right)^{\mathrm{2}} \:}{\mathrm{2}!}\:+\:\frac{\left(\mathrm{loga}\right)^{\mathrm{4}} \:}{\mathrm{4}!}\:+\:\frac{\left(\mathrm{loga}\right)^{\mathrm{6}} \:}{\mathrm{6}!}... \\ $$

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Question Number 177400 Answers: 3 Comments: 2

∫((√(9a^2 −1))/a)da Evaluate

$$\int\frac{\sqrt{\mathrm{9a}^{\mathrm{2}} −\mathrm{1}}}{\mathrm{a}}\mathrm{da} \\ $$$$ \\ $$$$\mathrm{Evaluate} \\ $$

Question Number 177336 Answers: 0 Comments: 3

A tank GM by 4m by 3m. calculate one−third of its volume. please help!

$$\mathrm{A}\:\mathrm{tank}\:\mathrm{GM}\:\mathrm{by}\:\mathrm{4m}\:\mathrm{by}\:\mathrm{3m}.\:\mathrm{calculate} \\ $$$$\mathrm{one}−\mathrm{third}\:\mathrm{of}\:\mathrm{its}\:\mathrm{volume}. \\ $$$$ \\ $$$$\mathrm{please}\:\mathrm{help}! \\ $$

Question Number 177179 Answers: 1 Comments: 1

If a number is 20% more the other, how much percent is the second number less than the first. please help!

$$\mathrm{If}\:\mathrm{a}\:\mathrm{number}\:\mathrm{is}\:\mathrm{20\%}\:\mathrm{more}\:\mathrm{the}\:\mathrm{other},\:\mathrm{how} \\ $$$$\mathrm{much}\:\mathrm{percent}\:\mathrm{is}\:\mathrm{the}\:\mathrm{second}\:\mathrm{number} \\ $$$$\mathrm{less}\:\mathrm{than}\:\mathrm{the}\:\mathrm{first}. \\ $$$$ \\ $$$$\mathrm{please}\:\mathrm{help}! \\ $$

Question Number 177068 Answers: 1 Comments: 0

Let a,b,c be real numbers such that: a+b+c=0. Prove that: ((a^2 b^2 c^2 )/4)+(((ab+bc+ca)^3 )/(27))≤0

$${Let}\:{a},{b},{c}\:{be}\:{real}\:{numbers}\:{such}\:{that}: \\ $$$${a}+{b}+{c}=\mathrm{0}.\:{Prove}\:{that}: \\ $$$$\frac{{a}^{\mathrm{2}} {b}^{\mathrm{2}} {c}^{\mathrm{2}} }{\mathrm{4}}+\frac{\left({ab}+{bc}+{ca}\right)^{\mathrm{3}} }{\mathrm{27}}\leqslant\mathrm{0} \\ $$

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