A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the quadcopter from its initial hovering point to the final resting point is described by: y = 2.15 + 2.09x – 0.41x²,0 < x< 3.6 where x is the horizontal distance (in meters) from the point of release, and y is the total distance (in meters) from the initial point. (i) Estimate the travels distance of the quadcopter from the moment of its hovering point to the moment it rests, by using trapezoidal rule and appropriate Simpson's rule with h = 0.4 given that the arc length of the curve line is: 2 dy dx 1+ L = a

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 32E
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(iii)
Find the absolute error for each methods (from Q2(a)(i)).
Transcribed Image Text:(iii) Find the absolute error for each methods (from Q2(a)(i)).
A miniature quadcopter flies in a curve line from one point to another. Suppose that
the path of the quadcopter from its initial hovering point to the final resting point is
described by:
Q2
(a)
y = 2.15 + 2.09x – 0.41x²,0 <x< 3.6
where x is the horizontal distance (in meters) from the point of release, and y is the
total distance (in meters) from the initial point.
(i)
Estimate the travels distance of the quadcopter from the moment of its
hovering point to the moment it rests, by using trapezoidal rule and
appropriate Simpson's rule with h = 0.4 given that the arc length of the
curve line is:
2
dy
L =
1+
dx
a
Transcribed Image Text:A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the quadcopter from its initial hovering point to the final resting point is described by: Q2 (a) y = 2.15 + 2.09x – 0.41x²,0 <x< 3.6 where x is the horizontal distance (in meters) from the point of release, and y is the total distance (in meters) from the initial point. (i) Estimate the travels distance of the quadcopter from the moment of its hovering point to the moment it rests, by using trapezoidal rule and appropriate Simpson's rule with h = 0.4 given that the arc length of the curve line is: 2 dy L = 1+ dx a
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