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3 years ago

Find the sum of -x-2 and 9x^2+5

Mathematics

1 answer:

MAXImum [283]3 years ago

6 0

Add the like terms

-2+5 these are the only like terms

9x^2+-x+5-2=

9x^2+-x+3

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Step-by-step explanation:

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A particle is moving along the x-axis so that its position at t ≥ 0 is given by s(t)=(t)ln(5t). Find the acceleration of the par

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Answer:

$a(\frac{1}{5e})=5e$

Step-by-step explanation:

we are given equation for position function as

$s(t)=tln(5t)$

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$s'(t)=\frac{d}{dt}\left(t\ln \left(5t\right)\right)$

$=\frac{d}{dt}\left(t\right)\ln \left(5t\right)+\frac{d}{dt}\left(\ln \left(5t\right)\right)t$

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now, we can find derivative again

$s''(t)=\frac{d}{dt}\left(\ln \left(5t\right)+1\right)$

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$a(t)=\frac{1}{t}$

Firstly, we will set velocity =0

and then we can solve for t

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we get

$t=\frac{1}{5e}$

now, we can plug that into acceleration

and we get

$a(\frac{1}{5e})=\frac{1}{\frac{1}{5e}}$

$a(\frac{1}{5e})=5e$

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