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alexandr1967 [171]
3 years ago
6

5/2y=10 for y

Mathematics
1 answer:
BabaBlast [244]3 years ago
5 0

Answer:

y = 4

Step-by-step explanation:

5/2y = 10

5/2y x 2/5 = 10 x 2/5

Multiply each side by the reciprocal

y = 4

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<span>= |-9/x^2| / (1 + (9/x)^2)^(3/2) 
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To maximize the curvature, </span>

we find where k' = 0. <span>
k' = 9 * (x^2 + 81)^(-3/2) + 9x * -3x(x^2 + 81)^(-5/2) 
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Setting k' = 0 yields x = ±9/√2. 

Since k' < 0 for x < -9/√2 and k' > 0 for x > -9/√2 (and less than 9/√2), 
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Since k' > 0 for x < 9/√2 (and greater than 9/√2) and k' < 0 for x > 9/√2, 
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x=9/√2=6.36

<span>y=9 ln(x)=9ln(6.36)=16.66</span>  

the answer is
(x,y)=(6.36,16.66)
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