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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No, it does not.
In general, surface area is the sum of the areas of each face of a prism. In a rectangular prism, we have length, width, and height.
The area of the bottom of the prism and the top of the prism is the same, and can be represented as l*w. This means that together, it is 2lw.
The area of the left and right faces of the prism is the same, and can be represented as l*h. This means that together, it is 2lh.
The area of the front and back faces of the prism is the same, and can be represented as w*h. This means that together, it is 2wh.
This gives us the equation
SA = 2lw+2lh+2wh
If we double the length and width, making them each 2l, we then have:
SA = 2(2l*2w) + 2(2l*h) + 2(2w*h)
= 2(4lw) + 4lh + 4wh
= 8lw + 4lh + 4wh
If the surface area had been doubled, we would expect
4lw + 4lh + 4wh
No, it is not doubled.
PEMDAS
12*(3/4) comes first
8+9=17
Answer:
.46%
Step-by-step explanation:
.055/12= .00458= .46%
Answer:
Total pictures = 84+12 = 96
roll of films = 96 / 24 = 4
she used 4 rolls
