Explain why the function is discontinuous at the given number a. Sketch the graph of the function. 17. f ( x ) = { 1 − x 2 1 / x if x < 1 if x ≥ 1 a = 1
Explain why the function is discontinuous at the given number a. Sketch the graph of the function. 17. f ( x ) = { 1 − x 2 1 / x if x < 1 if x ≥ 1 a = 1
Solution Summary: The author explains why the function is discontinuous at the given number a and sketch the graph of it.
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 1 Solutions
Essential Calculus: Early Transcendentals; MAC 2311 Sequence| MAC 2281Sequence USF (Essential Calculus)
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