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Let f(x) = (x - 1)e* and h = 0.01. Calculate the approximation to | (a) f(2.3) using second forward finite difference approximation |(b) f"(2.3) using first central finite difference approximation A car laps a race track in 84 seconds. The speed of the car at each 6-second interval is | determined using a radar gun and is given, from the beginning of the lap, in feet per second the entries in the following table. Time o 6 12 18 24 30 36 42 48 54 60 66 72 78 84 Speed 124 134 148 156 147 133 121 109 99 85 78 89 104 116 123 Estimate the length of the track by using |(a) composite trapezoidal rule

Let f(x) = (x - 1)e* and h = 0.01. Calculate the approximation to | (a) f(2.3) using second forward finite difference approximation |(b) f"(2.3) using first central finite difference approximation A car laps a race track in 84 seconds. The speed of the car at each 6-second interval is | determined using a radar gun and is given, from the beginning of the lap, in feet per second the entries in the following table. Time o 6 12 18 24 30 36 42 48 54 60 66 72 78 84 Speed 124 134 148 156 147 133 121 109 99 85 78 89 104 116 123 Estimate the length of the track by using |(a) composite trapezoidal rule

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Subject: Numerical 
Topic: Numerical Differentiation and Integration
Let f(x) = (x - 1)e* and h = 0.01. Calculate the approximation to |(a) f(2.3) using second forward finite difference approximation |(b) f"(2.3) using first central finite difference approximation A car laps a race track in 84 seconds. The speed of the car at each 6-second interval is |determined using a radar gun and is given, from the beginning of the lap, in feet per second, the entries in the following table. Time o 6 12 18 24 30 36 42 48 54 60 66 72 78 84 Speed 124 134 148 156 147 133 121 109 99 85 78 89 104 116 123 Estimate the length of the track by using | (a) composite trapezoidal rule
Transcribed Image Text:Let f(x) = (x - 1)e* and h = 0.01. Calculate the approximation to |(a) f(2.3) using second forward finite difference approximation |(b) f"(2.3) using first central finite difference approximation A car laps a race track in 84 seconds. The speed of the car at each 6-second interval is |determined using a radar gun and is given, from the beginning of the lap, in feet per second, the entries in the following table. Time o 6 12 18 24 30 36 42 48 54 60 66 72 78 84 Speed 124 134 148 156 147 133 121 109 99 85 78 89 104 116 123 Estimate the length of the track by using | (a) composite trapezoidal rule
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