The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4
To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
![y= \sqrt[5]{Bx+C}](https://tex.z-dn.net/?f=y%3D%20%5Csqrt%5B5%5D%7BBx%2BC%7D%20)
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To the nearest foot, it would be 23 feet. I found this using the Pythagorean Theorem of a (squared) + b (squared) = c (squared). If you have 24 as the hypotenuse, you have to square this and subtract 64 (8*8) from it. That will equal 512. So you have to find the square root of that which is 22.62, which will round to 23 feet.
Answer:
24.012
Step-by-step explanation:
y=kx^2
54=81k
k=54/81
k=0.667
y=kx^2
y=0.667×36
y=24.012
Answer:
18/3
Step-by-step explanation:
6x3=18
Circumference = πD
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Given that the circumference is 75cm, find Diameter:
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πD = 75
D = 75 ÷ 3.14
D = 23,89 cm
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Find Radius:
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Radius = Diameter ÷ 2
Radius = 23.89 ÷ 2
Radius = 11.94 cm
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Find Surface Area:
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Area = πr²
Area = 3.14 x 11.94²
Area = 447.65 cm²
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Answer: 447.65cm²
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