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Dmitry [639]
3 years ago
5

bobby hopes that he will some day be more than 70 inches tall. he is currently 61 inches tall how many inches , x , does bobby n

eed to grow to reach his desired hieght?
Mathematics
1 answer:
leonid [27]3 years ago
7 0
10 inches would make him taller than 70, 9 inches would make him exactly 70
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Answer:

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Step-by-step explanation:

for

Φ(x) = x^m

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dΦ/dx (x) = m*x^(m-1)

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then

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3x^2 (d^2y/dx^2) + 11x(dy/dx) - 3y = 0

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dividing by x^m

3*m*(m-1) + 11*m - 3 =0

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then Φ(x) = x^m is a solution for the equation a , when m = -9 or m = 1

for b)

x^2 (d^2y/dx^2) - x(dy/dx) - 5y = 0

x^2*m*(m-1)*x^(m-2) -  x* m*x^(m-1) - 5*x^m = 0

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dividing by x^m

m*(m-1) -m - 5 =0

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m= [2 ± √(4 + 4*1*5)]/2 = (2±√24)/2 = 1 ±√6

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then Φ(x) = x^m is a solution for the equation b , when m =  1 + √6 or m = 1 - √6

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