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Juli2301 [7.4K]
3 years ago
12

Suppose that a point moves along some unknown curve y = f(x) in such a way that, at

Mathematics
1 answer:
spayn [35]3 years ago
8 0

Answer:

f(x) = x³/3 - 5/3

Step-by-step explanation:

To get the equation of the curve, integrate the slope

f(x) = integral of x²

= (x^(2+1))/3 + c

f(x) = x³/3 + c

To find c, use the given point

1 = 2³/3 + c

c = 1 - 8/3 = -5/3

f(x) = x³/3 - 5/3

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