The amount of airborne particulate pollution p from a power plant depends on the wind speed s, among other things, with the relationship between p and s approximated by
p=81 -0.015?
(a) Find the value(s) of s that will make p = 0. (Enter your answers as a comma-separated list.)
SE
(b) What value of s from part (a) makes sense in the context of this application?
SE
What does p = 0 mean in this application?
PO means there the particulate level is at

Respuesta :

Answer:

(a).The value of s is ± 90.

(b). The positive value of s makes sense.

(c). The amount of airborne particulate pollution p is zero.

Step-by-step explanation:

Given that,

The amount of airborne particulate pollution = p

Wind speed = s

The relation between p and s approximated by

[tex]p=81-0.01s^2[/tex]

(a). If p = 0,

We need to calculate the value of s

Using given relation

[tex]p=81-0.01s^2[/tex]

[tex]s^2=\dfrac{81}{0.01}[/tex]

[tex]s=\sqrt{\dfrac{81}{0.01}}[/tex]

[tex]s=90[/tex]

The value of s is ± 90.

(b). We know, the speed is not in negative.

So,  Only positive value of s makes sense because wind speed can not be negative.

(c). p = 0, it means

If the wind speed 90 then The amount of airborne particulate pollution p is zero.

Hence, (a).The value of s is ± 90.

(b). The positive value of s makes sense.

(c). The amount of airborne particulate pollution p is zero.