A small aircraft starts its descent from an altitude of h = mile, 4 miles west of the runway (see figure). -3 -2 (a) Find the cubic f(x) = ax³ + bx² + cx + d on the interval [-4, 0] that describes a smooth glide path for the landing. %3D f(x) = (b) The function in part (a) models the glide path of the plane. When would the plane be descending at the greatest rate?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...
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A small aircraft starts its descent from an altitude of h = mile, 4 miles west of the runway (see figure).
-3
-2
(a) Find the cubic f(x) = ax³ + bx² + cx + d on the interval [-4, 0] that describes a smooth glide path for the landing.
%3D
f(x) =
(b) The function in part (a) models the glide path of the plane. When would the plane be descending at the greatest rate?
Transcribed Image Text:A small aircraft starts its descent from an altitude of h = mile, 4 miles west of the runway (see figure). -3 -2 (a) Find the cubic f(x) = ax³ + bx² + cx + d on the interval [-4, 0] that describes a smooth glide path for the landing. %3D f(x) = (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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