A small aircraft starts its descent from an altitude of h =3/5miles, 4 miles west of the runway (a) Find the cubic function f(x) = ax3 + bx2 + cx + d on the interval [−4, 0] that describes a smooth glide path for the landing. f(x) =(3/160)x^3 + (9/80)x^2 (b) The function in part (a) models the glide path of the plane. When would the plane be descending at the greatest rate? x =

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Chapter4: Polynomial And Rational Functions
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I need help with part B.

 

A small aircraft starts its descent from an altitude of

h =3/5miles, 4 miles west of the runway
 
(a) Find the cubic function
f(x) = ax3 + bx2 + cx + d
on the interval [−4, 0] that describes a smooth glide path for the landing.
 
f(x) =(3/160)x^3 + (9/80)x^2
 
 
(b) The function in part (a) models the glide path of the plane. When would the plane be descending at the greatest rate?

x =

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