Provide the approximated measurement to associate the volume of water.
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
Answer:
The value of x is, 
Explanation:
Given: 
Distributive Property states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately.
If 
Now, using distributive property on left hand side of the given expression as:
or 
Addition Property of equality state that we add the same number from both sides of an equation.
Add r to both sides of an equation:
Simplify:
Subtraction Property of equality state that we subtract the same number from both sides of an equation.
Subtract Nx from both sides of an equation;
Simplify:
or
Division Property of equality states that we divide the same number from both sides of an equation.
Divide by (34-N) to both sides of an equation;
On Simplify:
To solve this, you have to take 7/12 out of each pan first, so how to do that is to divide each pan into 1/12. So you did that, and all three pans equal 36/12. Great. Eliza has 36/12 fruit bars.
Now, you see that the classmates at 7/12 out of EACH. To find that out, you just multiply 7/12 by 3 which is 21/12. Subtract 21/12 from 36/12 since the classmates ate 21/12 out of the total and you get 15/12.
Now she gave 1 pan to the secretaries, which is 12/12, so you subtract that from the 15/12 you have left over. That's 3/12.
And she brought 3/12 home. You can simplify that into 1/4.
Complete Question
Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit.
Let p(x) represent Primo Pizza's profit (in dollars) x days after June 1. Let s(x) represent Pizza Supreme's profit (in dollars) x days after June 1.
Suppose Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.
Write a function formula for p using the function s
Answer:
The function formula for p using the function s is p(x) = 1.9s(x)
Step-by-step explanation:
Given
p(x) = Primo Pizza's profit (in dollars) x days after June 1.
s(x) = Pizza Supreme's profit (in dollars) x days after June 1.
It is given that Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.
This implies that
p(x) = 1.9*s(x)
So, p(x) = 1.9s(x)
Hence, the function formula for p using the function s is p(x) = 1.9s(x)
