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: 11.2 because I know trust me. I did a worksheet with this same question and got 11.2 and it was correct.
Answer:
A. x + y > 30 8x + 10y ≥ 450
Step-by-step explanation:
x+y bunnies and puppies has to be greater than 30 (in amount)
the amount of money need to be greater than or equal to 450 for both x bunnies and y puppies.
X-3 = 2x-13
+x +x
-3 = 3x-13
+13 +13
10 = 3x
10/3 3/3
3.3=x
