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: (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: L = 1+ dx Estimate (C2), change to TOS Calculate the exact solution of the traveled distance by using a scientific calculator. (ii) (iii) Find the absolute error for each methods (from Q2(a)(i)). (iv) Determine which method approximates better.
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: (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: L = 1+ dx Estimate (C2), change to TOS Calculate the exact solution of the traveled distance by using a scientific calculator. (ii) (iii) Find the absolute error for each methods (from Q2(a)(i)). (iv) Determine which method approximates better.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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