Answer:
y = 40 / sqrt(pi)
Step-by-step explanation:
The area is 400
We want to find the diameter
400 = pi r^2
Divide each side by pi
400/ pi = r^2
Take the square root of each side
sqrt(400/ pi) = sqrt(r^2)
20/ sqrt(pi) = r
The diameter is twice the radius
2 r = d
2 * 20/ sqrt(pi) = d
40 / sqrt(pi) =d
y is the diameter so
y = 40 / sqrt(pi)
Answer:
a.
b.
c.
Step-by-step explanation:
a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:
b) The income function is given by the relation .
The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:
(c) The profit function of the company is given by the relation , and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:
When q = 2000, the marginal utility is:
When q = 7000, the marginal utility is: