Letf\left(x, y,z\right)=x^3y^2+y^3z^2+\sin\left( x+y\right)\cos\left(x+z\right)f ( x , y , z ) = x 3 y 2 + y 3 z 2 + sin ( x + y ) cos ( x + z ). determine the line integral of f\left(x, y,z\right)f ( x , y , z ) with respect to arc length over the curve r\left(t\right)=\left(\cos\left(2\p i t\right),\sin\left(2\pi t\right),t\right)r ( t ) = ( cos ( 2 π t ) , sin ( 2 π t ) , t ) where t ranges from 0 to 1.
597008.439431 rounded to the nearest thousandth is 597008.439, because a thousandth place is 3 decimal places available, to the right.
let p be the initial number of the fungi in the culture,
since, the relative growth rate for a certain type of fungi is 60% per hour,
⇒ the number of fungi is increasing by the constant rate of 60%
according to the question,
y = 11/4 or 2 3/4 units.
perimeter = 4 * length of 1 side
= 4(y + 11) , so
4(y + 11) = 55
4y + 44 = 55
4y = 11
y = 11/4 (answer).