A given temperature the heat loss of an organism

Ответ:

pstiner

14.02.2022

63.36 W/m

Step-by-step explanation:

The heat loss of an organism is given by :

y=33x^3 ...(1)

Where

y is heat loss in watts and x is the length of the organism in metres.

We need to find the rate of change of heat loss when the organism is 0.8 m in length.

Differentiate equation (1) wrt x.

$\dfrac{dy}{dx}=\dfrac{d}{dx}(33x^3)\\\\=33\times 3x^2\\\\=99x^2$

Put x = 0.8 m in above equation.

$\dfrac{dy}{dx}=99\times (0.8)^2\\\\=63.36\ W/m$

So, the rate of change of heat loss when the organism is 0.8 m in length is 63.36 W/m

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