1. Using 4 subintervals, approximate √x dx by: (a) Trapezoidal rule and (b) Simpson's rule. Round-off to 6D.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve:
1. Using 4 subintervals, approximate
5
√x dx
by: (a) Trapezoidal rule and (b) Simpson's rule. Round-off to 6D.
2. The distance x (in meters) of a skier from a fixed point is measured at intervals of 0.25 second as shown
t(s) 0
0.25 0.5 0.75 1.00 1.25 1.50
4.3 10.2 17.2 26.2 33.1 39.1
x (m) 0
Use central difference to approximate the skier's velocity and acceleration at 0.25 s, 0.75 s, and 1.25 s. Round-off to 1D.
Transcribed Image Text:Solve: 1. Using 4 subintervals, approximate 5 √x dx by: (a) Trapezoidal rule and (b) Simpson's rule. Round-off to 6D. 2. The distance x (in meters) of a skier from a fixed point is measured at intervals of 0.25 second as shown t(s) 0 0.25 0.5 0.75 1.00 1.25 1.50 4.3 10.2 17.2 26.2 33.1 39.1 x (m) 0 Use central difference to approximate the skier's velocity and acceleration at 0.25 s, 0.75 s, and 1.25 s. Round-off to 1D.
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