Step-by-step explanation:
dy/dx
= d/dx [x / (1 - x²)]
= [(1 - x²)(1) - (x)(-2x)] / (1 - x²)²
= (1 + x²) / (1 - x²)².
When dy/dx = 1, (1 + x²) / (1 - x²)² = 1.
=> 1 + x² = 1 - x²
=> 2x² = 0, x = 0.
Also when x = 0, y = (0) / [1 - (0)²] = 0.
Hence the coodinates is (0, 0).
For a), wouldn't you multiply the cost of a twin by the quantity of a twin beige (N) and the cost of a queen by the quantity of the queen beige (N) and then the cost of the king by the quantity of the king beige (N) for CN and do the same thing but with the south quantities?
And then for b), it's just comparing which one had the most money and find the difference...
And then C), would be relatively self explanatory where CN would be the potential profit in N and CS would be the potential profit in S and then CN+CS would be the potential profit total?
5 represents one of the dimensions of the rectangle, either length or width.
The function that represents the Scooter Company's total profit is given by:
P(x) = -2x² + 250x - 2,000.
<h3>How to calculate the profit function?</h3>
The profit function is calculated by the <u>revenue function subtracted by the cost function</u>, hence:
P(x) = R(x) - C(x).
In this problem, we have that:
- The revenue function is: R(x) = 400x - 2x².
- The cost function is: X(x) = 150x + 2000.
Hence the profit function is:
P(x) = R(x) - C(x).
P(x) = 400x - 2x² - (150x + 2000).
P(x) = -2x² + 250x - 2,000.
More can be learned about profit functions at brainly.com/question/25274969
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