a. Draw the graph of any function f ( x ) that passes through the point ( 3 , 2 ) . b. Choose a point to the right of x = 3 on the x -axis and label it 3 + h . c. Draw the straight line through the points ( 3 , f ( 3 ) ) and ( 3 + h , f ( 3 + h ) ) . d. What is the slope of this straight line (in terms of h )?
a. Draw the graph of any function f ( x ) that passes through the point ( 3 , 2 ) . b. Choose a point to the right of x = 3 on the x -axis and label it 3 + h . c. Draw the straight line through the points ( 3 , f ( 3 ) ) and ( 3 + h , f ( 3 + h ) ) . d. What is the slope of this straight line (in terms of h )?
Solution Summary: The author explains how the graph passes through the point f(x).
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
MyLab Math with Pearson eText -- 24 Month Access -- for Calculus & Its Applications
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