DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
16th Edition
ISBN: 9781323235911
Author: BITTINGER
Publisher: Pearson Custom Publishing
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Chapter K, Problem 8DE
To determine
To calculate: The solution of the provided inequality
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1.6. By manipulating Taylor series, determine the constant C for an error expansion
of (1.3) of the form wj−u' (xj) ~ Ch¼u (5) (x;), where u (5) denotes the fifth derivative.
Based on this value of C and on the formula for u(5) (x) with u(x) = esin(x), determine
the leading term in the expansion for w; - u'(x;) for u(x) = esin(x). (You will have
to find maxε[-T,T] |u(5) (x)| numerically.) Modify Program 1 so that it plots the
dashed line corresponding to this leading term rather than just N-4. This adjusted
dashed line should fit the data almost perfectly. Plot the difference between the two
on a log-log scale and verify that it shrinks at the rate O(h6).
4. Evaluate the following integrals. Show your work.
a)
-x
b) f₁²x²/2 + x² dx
c) fe³xdx
d) [2 cos(5x) dx
e) √
35x6
3+5x7
dx
3
g) reve
√ dt
h) fx (x-5) 10 dx
dt
1+12
Define sinc(x) = sin(x)/x, except with the singularity removed. Differentiate sinc(x) once and twice.
Chapter K Solutions
DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
Ch. K - Write interval notation for the given set or...Ch. K - Prob. 2DECh. K - Prob. 3DECh. K - Prob. 4DECh. K - Prob. 5DECh. K - Prob. 6DECh. K - Prob. 7DECh. K - Prob. 8DECh. K - Prob. 9DECh. K - Prob. 1ES
Ch. K - Prob. 2ESCh. K - Prob. 3ESCh. K - Prob. 4ESCh. K - Prob. 5ESCh. K - Prob. 6ESCh. K - Prob. 7ESCh. K - Prob. 8ESCh. K - Prob. 9ESCh. K - Prob. 10ESCh. K - Prob. 11ESCh. K - Prob. 12ESCh. K - Prob. 13ESCh. K - Prob. 14ESCh. K - Prob. 15ESCh. K - Prob. 16ESCh. K - Prob. 17ESCh. K - Prob. 18ESCh. K - Prob. 19ESCh. K - Prob. 20ESCh. K - Solve. 34x58Ch. K - Prob. 22ESCh. K - Prob. 23ESCh. K - Prob. 24ESCh. K - Prob. 25ESCh. K - Prob. 26ESCh. K - Prob. 27ESCh. K - Prob. 28ES
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