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Question 2 We measured a function f that, "unknown to us," is exactly equal to fExact(t)=sin(t). We did nine measurements at equally spaced times from -3.2 to 3.2. Determine what the measured f-values would have been. Plot the exact solution at 200 points from -5 to 5 as a black dashed line, and the nine measured data as black crosses, in the same plot. Your horizontal axis should go from -5 to 5. Use title "Measured and Exact", axis labels "t" and "f", and curve labels "Exact" and "Measured". Evaluate the linear and spline interpolated f-values at times -5, -3, -1, 1, 3, and 5. Print the obtained values and their errors out in the format At t = 1: the linear interpolate is X.XXX, with error X.XXX the spline interpolate is X.XXX, with error X.XXX (To get the errors, take the absolute value of the difference between interpolated and exact.) Next add the linear and spline interpolates at the 100 plot points to the same plot as before, with their labels. Use red for the linear interpolate, blue for the spline one.

Question 2 We measured a function f that, "unknown to us," is exactly equal to fExact(t)=sin(t). We did nine measurements at equally spaced times from -3.2 to 3.2. Determine what the measured f-values would have been. Plot the exact solution at 200 points from -5 to 5 as a black dashed line, and the nine measured data as black crosses, in the same plot. Your horizontal axis should go from -5 to 5. Use title "Measured and Exact", axis labels "t" and "f", and curve labels "Exact" and "Measured". Evaluate the linear and spline interpolated f-values at times -5, -3, -1, 1, 3, and 5. Print the obtained values and their errors out in the format At t = 1: the linear interpolate is X.XXX, with error X.XXX the spline interpolate is X.XXX, with error X.XXX (To get the errors, take the absolute value of the difference between interpolated and exact.) Next add the linear and spline interpolates at the 100 plot points to the same plot as before, with their labels. Use red for the linear interpolate, blue for the spline one.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question 2 We measured a function f that, "unknown to us," is exactly equal to fExact(t)=sin(t). We did nine measurements at equally spaced times from -3.2 to 3.2. Determine what the measured f-values would have been. Plot the exact solution at 200 points from -5 to 5 as a black dashed line, and the nine measured data as black crosses, in the same plot. Your horizontal axis should go from -5 to 5. Use title "Measured and Exact", axis labels “t" and "f", and curve labels "Exact" and "Measured". Evaluate the linear and spline interpolated f-values at times -5, -3, -1, 1, 3, and 5. Print the obtained values and their errors out in the format At t = 1: the linear interpolate is X.XXX, with error X.XXX the spline interpolate is X.XXX, with error X.XXX (To get the errors, take the absolute value of the difference between interpolated and exact.) Next add the linear and spline interpolates at the 100 plot points to the same plot as before, with their labels. Use red for the linear interpolate, blue for the spline one.
Transcribed Image Text:Question 2 We measured a function f that, "unknown to us," is exactly equal to fExact(t)=sin(t). We did nine measurements at equally spaced times from -3.2 to 3.2. Determine what the measured f-values would have been. Plot the exact solution at 200 points from -5 to 5 as a black dashed line, and the nine measured data as black crosses, in the same plot. Your horizontal axis should go from -5 to 5. Use title "Measured and Exact", axis labels “t" and "f", and curve labels "Exact" and "Measured". Evaluate the linear and spline interpolated f-values at times -5, -3, -1, 1, 3, and 5. Print the obtained values and their errors out in the format At t = 1: the linear interpolate is X.XXX, with error X.XXX the spline interpolate is X.XXX, with error X.XXX (To get the errors, take the absolute value of the difference between interpolated and exact.) Next add the linear and spline interpolates at the 100 plot points to the same plot as before, with their labels. Use red for the linear interpolate, blue for the spline one.
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