For Problems 21-25, express
L
−
1
[
F
(
s
)
G
(
s
)
]
in terms of a convolution integral.
F
(
s
)
=
2
s
2
+
6
s
+
10
,
G
(
s
)
=
2
s
−
4
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Suppose P(x) represents the profit on the sale of x Blu-ray discs. If P(1,000) = 2,000 and P'(1,000) = -3, what do these
values tell you about the profit?
%3D
%3D
P(1,000) represents the profit on the sale of
Blu-ray discs. P(1,000) = 2,000, so the profit on
%3D
the sale of
Blu-ray discs is $
. P'(x) represents the
---Select----
O as a function of x. P'(1,000) = -3, so the profit is decreasing at the rate of
per additional Blu-ray disc sold.
%24
and Y(0)= -3/2
Chapter 10 Solutions
Differential Equations and Linear Algebra (4th Edition)
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