A small aircraft starts its descent from an altitude of 1 mile, 4 miles west of the
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A small aircraft starts its descent from an altitude of 1 mile, 4 miles west of the runway (see figure).
(a) Find the cubic ƒ(x) = ax³ + bx² + cx + d on the interval [-4, 0] that describes a smooth glide path for the landing.
(b) The function in part (a) models the glide path of the plane.
When would the plane be descending at the greatest rate?
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