If C = 0.003x3 + 0.02x2 + 6x + 250 gives the amount of carbon pollutio

1.	If C = 0.003x3 + 0.02x2 + 6x + 250 gives the amount of carbon pollution in air in an area on the entry of x number of vehicles, then find the marginal carbon pollution in the air, when 3 vehicles have entered in the area.
Answer» We have to find [C(x)] x = 3 Now, C(x) = 0.003x³ +0.02x² + 6x +250 ∴ C(x) = 0.009x²+0.04x + 6 [C(x)] x = 3 = 0.009 x 9 + 0.04 x 3 + 6 = 0.081 + 0.12 + 6

If C = 0.003x3 + 0.02x2 + 6x + 250 gives the amount of carbon pollution in air in an area on the entry of x number of vehicles, then find the marginal carbon pollution in the air, when 3 vehicles have entered in the area.

Answer»

We have to find [C(x)] x = 3

Now,

C(x) = 0.003x³ +0.02x² + 6x +250

∴ C(x) = 0.009x²+0.04x + 6

[C(x)] x = 3

= 0.009 x 9 + 0.04 x 3 + 6

= 0.081 + 0.12 + 6