The length xmetre of green anaconda snake which is t years old is given approximately by formula x=0.7underroot(2t-1) where 1<t<10 find dx/dy and the rate of growth of snake which is 5years old?

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Answer 1 · 2018-04-06T07:02:45

Rate of growth of snake, when it is $5$ years old, is $7/30$ meters per year.

The length $x$ metre of green anaconda snake, which is $t$ years old, is given approximately by formula $x=0.7sqrt(2t-1)$ , where $1 < t < 10$ .

At an ageof $5$ tears its length would be

$0.7sqrt(2*5-1)=0.7sqrt9=0.7*3=2.1$ meters.

As $x=0.7sqrt(2t-1)$ , rate of growth $(dx)/(dt)$ is given by

$(dx)/(dt)=0.70xx1/(2sqrt(2x-1))xx2=0.7/sqrt(2x-1)$

and rate of growth of snake when it is $5$ years old is

$0.7/sqrt(2*5-1)=0.7/3=7/30$ meters per year