Estimating a Limit Numerically In Exercises 11-20, create a table of values for the function and use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result. lim x → 2 [ x / ( x + 1 ) − ( 2 / 3 ) ] x − 2
Estimating a Limit Numerically In Exercises 11-20, create a table of values for the function and use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result. lim x → 2 [ x / ( x + 1 ) − ( 2 / 3 ) ] x − 2
Solution Summary: The author explains how to determine the limit of a given function and confirm the result using the graphical approach.
Estimating a Limit Numerically In Exercises 11-20, create a table of values for the function and use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result.
4. Use method of separation of variable to solve the following wave equation
მłu
J²u
subject to
u(0,t) =0, for t> 0,
u(л,t) = 0, for t> 0,
=
t> 0,
at²
ax²'
u(x, 0) = 0,
0.01 x,
ut(x, 0) =
Π
0.01 (π-x),
0
Solve the following heat equation by method of separation variables:
ди
=
at
subject to
u(0,t) =0, for
-16024
ძx2 •
t>0, 0 0,
ux (4,t) = 0, for
t> 0,
u(x, 0) =
(x-3,
\-1,
0 < x ≤2
2≤ x ≤ 4.
ex
5.
important aspects.
Graph f(x)=lnx. Be sure to make your graph big enough to easily read (use the space given.) Label all
6
33
Chapter 2 Solutions
Bundle: Calculus: Early Transcendental Functions, Loose-leaf Version, 6th + WebAssign Printed Access Card for Larson/Edwards' Calculus: Early Transcendental Functions, 6th Edition, Multi-Term
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