Question

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?

Answer 1

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

Explanation:

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