Answer:
dy/dx = -1/√(1 - x²)
For 0 < y < π
Step-by-step explanation:
Given the function cos y = x
-siny dy = dx
-siny dy/dx = 1
dy/dx = -1/siny (equation 1)
But cos²y + sin²y = 1
=> sin²y = 1 - cos²y
=> siny = √(1 - cos²y) (equation 2)
Again, we know that
cosy = x
=> cos²y = x² (equation 3)
Using (equation 3) in (equation 2), we have
siny = √(1 - x²) (equation 4)
Finally, using (equation 4) in (equation 1), we have
dy/dx = -1/√(1 - x²)
The largest interval is when
√(1 - x²) = 0
=> 1 - x² = 0
=> x² = 1
=> x = ±1
So, the interval is
-1 < x < 1
arccos(1) < y < arxcos(-1)
= 0 < y < π
We have that
Profit margin is calculated by finding the net profit as a percentage of the revenue
Profit margin = [Net profit / Revenue]
Net profit= [Revenue-Cost]
we know that
Revenue = $16.25 million
Cost = $13.5 million + $2.7 million
Net profit = [16.25 million - (13.5 million + 2.7 million)]
Net profit = $0.05 million
Profit margin = 0.05 / 16.25
Profit margin = 0.003077 or 0.3077%
Answer:
0.02 tons per cubic foot
Step-by-step explanation:
delt math
To factor completely 18b - 32, we factor out the common factor of the two terms and divide each of term by the common factor.
18b - 32 = 2(18b/2 - 32/2) = 2(9b - 16)
