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Slav-nsk [51]
3 years ago
10

Find an equation of the curve that passes through the point (0, 4) and whose slope at (x, y) is x/y.

Mathematics
1 answer:
jolli1 [7]3 years ago
4 0
1/2y^2=1/2x^2+8. The curve's slope at (x,y) is x/y, so dy/dx=x/y. To solve this differential equation, rearrange it to: y*dy=x*dx, and by integrating both sides, we get 1/2y^2=1/2x^2+C (some constant). Plug in (0,4) into this equation, 8=0+C, so C=8. The curve's equation is 1/2y^2=1/2x^2+8.
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Answer:

interest earned= 292.878

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Step-by-step explanation:

Given Data:

Interest rate= 5%

time,t = 8 years

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Interest earned = A-P

                          = 892.878-600

                          = 292.878 !

3 0
3 years ago
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Step-by-step explanation:

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3 0
3 years ago
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