HOW DO YOU SEE IT? The attendance for four high school basketball games is given by s = f ( t ) , and the attendance for four high school football games is given by s = f ( t ) , where t = 1 corresponds to the first game. (a) Which attendance rate, f ' or g ', is greater at game 1? (b) What conclusion can you make regarding the attendance rates, f ' and g ', at game 3? (c) What conclusion can you make regarding the attendance rates, f ' and g ', at game 4? (d) Which sport do you think would have a greater attendance for game 5? Explain your reasoning.
HOW DO YOU SEE IT? The attendance for four high school basketball games is given by s = f ( t ) , and the attendance for four high school football games is given by s = f ( t ) , where t = 1 corresponds to the first game. (a) Which attendance rate, f ' or g ', is greater at game 1? (b) What conclusion can you make regarding the attendance rates, f ' and g ', at game 3? (c) What conclusion can you make regarding the attendance rates, f ' and g ', at game 4? (d) Which sport do you think would have a greater attendance for game 5? Explain your reasoning.
Solution Summary: The author analyzes the graph of both the functions to determine the greater attendance rate out of fprime at game 1 and the slope at 1 for the function f.
HOW DO YOU SEE IT? The attendance for four high school basketball games is given by
s
=
f
(
t
)
, and the attendance for four high school football games is given by
s
=
f
(
t
)
, where
t
=
1
corresponds to the first game.
(a) Which attendance rate, f' or g', is greater at game 1?
(b) What conclusion can you make regarding the attendance rates, f' and g', at game 3?
(c) What conclusion can you make regarding the attendance rates, f' and g', at game 4?
(d) Which sport do you think would have a greater attendance for game 5? Explain your reasoning.
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
MindTap Math, 1 term (6 months) Printed Access Card for Larson’s Calculus: An Applied Approach, 10th
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