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So let's try a cubic function: y(x) = ax³ + bx² + cx + d. Apply the four conditions you have 2h above to demonstrate that y(x) = 3h is the correct cubic equation. This will require some careful solving, but perhaps first start by applying the conditions at the origin. L3

So let's try a cubic function: y(x) = ax³ + bx² + cx + d. Apply the four conditions you have 2h above to demonstrate that y(x) = 3h is the correct cubic equation. This will require some careful solving, but perhaps first start by applying the conditions at the origin. L3

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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In this project we will analyze the flight path and velocity of an airplane making a landing. We assume the plane is at an altitude of h miles, and is L miles horizontally from the airport. Let's place the airport at the origin and the plane at position (-L, h) as shown. We will call the actual flight path y(x). 1. If we want the flight path to be horizontal at the beginning and horizontal at landing, we have four mathematical conditions that our function y(x) must satisfy. Write those conditions here. To help you get started I've written out the first two conditions (at the beginning of landing), but you need to finish writing out the other two: y(-L) = h y'(-L) = 0 y(0) = 0 y'(0) = 0
Transcribed Image Text:In this project we will analyze the flight path and velocity of an airplane making a landing. We assume the plane is at an altitude of h miles, and is L miles horizontally from the airport. Let's place the airport at the origin and the plane at position (-L, h) as shown. We will call the actual flight path y(x). 1. If we want the flight path to be horizontal at the beginning and horizontal at landing, we have four mathematical conditions that our function y(x) must satisfy. Write those conditions here. To help you get started I've written out the first two conditions (at the beginning of landing), but you need to finish writing out the other two: y(-L) = h y'(-L) = 0 y(0) = 0 y'(0) = 0
3. So let's try a cubic function: y(x) = ax³ + bx² + cx + d. Apply the four conditions you have 2h 3h above to demonstrate that y(x) =3+x² is the correct cubic equation. This will require L²° some careful solving, but perhaps first start by applying the conditions at the origin.
Transcribed Image Text:3. So let's try a cubic function: y(x) = ax³ + bx² + cx + d. Apply the four conditions you have 2h 3h above to demonstrate that y(x) =3+x² is the correct cubic equation. This will require L²° some careful solving, but perhaps first start by applying the conditions at the origin.
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