Answer:
Step-by-step explanation:
150/x=sin 15
x=150/sin 15 ≈579.56 m
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:
Option 2) y = 26
Step-by-step explanation:
We are given the following in the question:
The individual wants to have two hot dogs for each guest, and 6 extra hot logs in case some teammates bring friends.
Thus, the dependent variable is the number of hot dogs.

The independent variable is the number of teammates.

Thus, the linear relation between the dependent and the independent variable is given as:

We have to find the value of dependent variable when independent variable is 10
For x = 10

Thus, the correct answer is
Option 2) y = 26