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