dy/dx = 1/√(1 - x^2) - x/√(1 - x^2) = (1 - x)/√(1 - x^2)
1 + (dy/dx)^2 = 1 + (1 - x)^2/(1 - x^2) = [(1 - x^2) + (1 - x)^2]/(1 - x^2) = (1 - x^2 + 1 - 2x + x^2)/(1 - x^2) = (2 - 2x)/(1 - x^2) = 2(1 - x)/[(1 + x)(1 - x)] = 2/(1 + x)
ds = √(1 + (dy/dx)^2 = √(2/(1 + x)) = √2/√(1 + x) dx
<span>L = √2 ∫ dx/√(1 + x) {0, 1} = √2 ∫ (1 + x)^(-1/2) dx = 2√2 √(1 + x) {0, 1} = 2√2 (√2 - 1) = 4 - 2√2 ≈ 1.1716
The arc length would be </span><span>1.1716 units.</span><span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
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Answer:
84 is your answer
Step-by-step explanation:
What you are doing is multiplying them together.
87,1/2% put into a calculator comes out to 7/8 or .875.
You will take that and multiply it to 96
7/8*96=84.
Answer: 
Step-by-step explanation:
Get rid of parentheses: 
Add all the numbers together, and all the variables: 
Move all terms containing x to the left, all other terms to the right:



42.
As
1 dozen is 12 eggs, 3 dozens of the eggs is 12×3=36.
half of a dozens is 6 so
36+6 =42