# 009B Sample Midterm 3, Problem 3

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Find a curve with the following properties:

(i)

(ii) Its graph passes through the point and has a horizontal tangent there.

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Find a curve $y=f(x)$ with the following properties:

(i) $f''(x)=6x$

(ii) Its graph passes through the point $(0,1)$ and has a horizontal tangent there.