Consider the polynomial p(y) = —y3 — 2y + 2. Using appropriate technology,
(a) sketch the slope field for dy/dt = p(y),
(b) sketch the graphs of some of the solutions using the slope field,
(c) describe the relationship between the roots of p(y) and the solutions of the differential equation, and
(d) using Euler's method, approximate the real root(s) of p(y) to three decimal places.
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