Question

X = a^- alpha t + b e^ beta t then the velocity of particles ?
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Answer 1

Explanation:

$x = {a}^{ - \alpha t} + b {e}^{ \beta t} \\ velocity \: of \: a \: particle = \frac{dx}{dt} \\ \frac{dx}{dt} = \frac{d( {a}^{ - \alpha t} + b{e}^{ \beta t } )}{dt} \\ v = {a}^{ - \alpha t } ln(a) ( - \alpha ) + b( {e}^{ \beta t} )( \beta ) \\ v = - \alpha {a}^{ - \alpha t} ln(a) + \beta b {e}^{ \beta t}$

Answer 2

Answer:

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