Numerical Analysis
3rd Edition
ISBN: 9780134696454
Author: Sauer, Tim
Publisher: Pearson,
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Chapter 10.3, Problem 5CP
Gather 24 consecutive hourly temperature readings from a newspaper or website. Plot the data points along with (a) the trigonometric interpolating function and least squares approximating functions of order (b)
and (c)
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Using FDF, BDF, and CDF, find the first derivative;
1. The distance x of a runner from a fixed point is measured (in meters) at an
interval of half a second. The data obtained is:
t
0
x
0
0.5
3.65
1.0
1.5
2.0
6.80
9.90
12.15
Use CDF to approximate the runner's velocity at times t = 0.5s and t = 1.5s
2. Using FDF, BDF, and CDF, find the first derivative of f(x)=x Inx for an input
of 2 assuming a step size of 1. Calculate using Analytical Solution and
Absolute Relative Error:
=
True Value - Approximate Value|
x100
True Value
3. Given the data below where f(x)
sin (3x), estimate f(1.5) using Langrage
Interpolation.
x
1
1.3
1.6
1.9
2.2
f(x)
0.14
-0.69
-0.99
-0.55
0.31
4. The vertical distance covered by a rocket from t=8 to t=30 seconds is given
by:
30
x =
Loo (2000ln
140000
140000
-
2100
9.8t) dt
Using the Trapezoidal Rule, n=2, find the distance covered.
5. Use Simpson's 1/3 and 3/8 Rule to approximate for sin x dx. Compare the
results for n=4 and n=8
Can you check if my step is correct?
I need help explaining on this example on how can I define the Time-Domain Function, Apply the Laplace Transformation Formula, and Simplify to Find the Frequency-Domain Expression. I need to understand on finding Y(s)
Chapter 10 Solutions
Numerical Analysis
Ch. 10.1 - Prob. 1ECh. 10.1 - Find the DFT of the following vectors: (a) [...Ch. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.2 - Use the DFT and Corollary 10.8 to find the...Ch. 10.2 - Prob. 2E
Ch. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - Find a version of (10.19) for the interpolating...Ch. 10.2 - Find the order 8 trigonometric interpolating...Ch. 10.2 - Find the order 8 trigonometric interpolating...Ch. 10.2 - Prob. 3CPCh. 10.2 - Prob. 4CPCh. 10.2 - Prob. 5CPCh. 10.2 - Prob. 6CPCh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Find the best order 4 least squares approximation...Ch. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.3 - Prob. 1CPCh. 10.3 - Prob. 2CPCh. 10.3 - Plot the least squares trigonometric approximation...Ch. 10.3 - Prob. 4CPCh. 10.3 - Gather 24 consecutive hourly temperature readings...Ch. 10.3 - Run the code to form the filtered signal yf, and...Ch. 10.3 - Compute the mean squared error (MSE) of the input...Ch. 10.3 - Prob. 3SACh. 10.3 - Prob. 4SACh. 10.3 - Design a fair comparison of the Wiener filter with...Ch. 10.3 - Download a .wav file of your choice, add noise,...
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