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Q2 (a) 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 dx dx. L = 1+ Estimate (C2), change to TOS Calculate the exact solution of the traveled distance by using a scientific (ii) calculator. (iii) Find the absolute error for each methods (from Q2(a)(i)).

Q2 (a) 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 dx dx. L = 1+ Estimate (C2), change to TOS Calculate the exact solution of the traveled distance by using a scientific (ii) calculator. (iii) Find the absolute error for each methods (from Q2(a)(i)).

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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Q2 (a) 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 – 0.41x?,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 are length of the curve line is: 2 dx dx, L = 1+ Estimate (C2), change to TOS Calculate the exact solution of the traveled distance by using a scientific (ii) calculator. (iii) Find the absolute error for each methods (from Q2(a)(i)).
Transcribed Image Text:Q2 (a) 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 – 0.41x?,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 are length of the curve line is: 2 dx dx, L = 1+ Estimate (C2), change to TOS Calculate the exact solution of the traveled distance by using a scientific (ii) calculator. (iii) Find the absolute error for each methods (from Q2(a)(i)).
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