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:
Par 1) 19.10 inches
Part 2) 39 days
Step-by-step explanation:
we know that
Asheville
47.71 in
124 days
Wichita
28.61 in
85 days
Part 1) About how many more inches of rain did Asheville get than Wichita?
In this part subtract the number of inches of rain in Wichita from the number of inches of rain in Asheville
so

Part 2) About how many more days did it rain in Asheville than Wichita?
n this part subtract the number of days of rain in Wichita from the number of days of rain in Asheville
so

Answer:
Enlargement
Step-by-step explanation
It is enlargement, because it went up by three. Instead of reducing.
There are winnings of $50 ( 60% ), $100 ( 20% ) and $1,000 ( 2% ).
$50 * 0.6 = $30
$100 * 0.2 = $20
$1,000 * 0.02 = $20
$30 + $20 + $20 = $70
Answer: The expected payout per fan is $70.