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Sagot :
The cost of plowing the roads after 24 inches have fallen is increasing at a rate of $0.4 million per inch.
Evaluate this expression, we need to break this into two pieces. First, we have the value of c(15), so thankfully, we don't need to run any calculations to find it. This means that we just need to evaluate this definite integral, which is the integral of the derivative of c(n) from 15 to 24.
The Fundamental Theorem of Calculus relates a function to its antiderivative as a way to find the value of the integral of that function. Since the antiderivative of , which we have the value for at the endpoints of this integral, we can evaluate this integral as follows.
[tex]\int\limits^a_b {c'(n)} \, dn = c(24 ) - c(15) = 0.4 - 0.6 = -0.2[/tex]
We can now find the value of this entire expression as follows.
[tex]c(15) +\int\limits^a_b {c'(n)} \, dn = 0.6 + (-0.2) = 0.4[/tex]
Since this represents the derivative of C(n), the cost for plowing the roads, this tells us that the cost of plowing the roads after 24 inches have fallen is increasing at a rate of $0.4 million per inch.
Learn more about definite integral at :
https://brainly.com/question/27746495
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