Net Income: Casual Apparel In the following graph, n ( t ) is Pacific Sunwear’s approximate net income, in millions of dollars, for the year ending at time t ( t is time in years since December 2004 ) : 11 a. Estimate n ( 0 ) , n ( 4 ) , and n ( 5.5 ) to the nearest 25. Interpret your answers. b. At which of the following values of t is n ( t ) increasingmost rapidly: 1, 2, 4, 7, 8, or 9? Interpret your answer. c. At which of the following values of t is n ( t ) decreasing most rapidly: 1, 2, 4, 7, 8, or 9? Interpret your answer.
Net Income: Casual Apparel In the following graph, n ( t ) is Pacific Sunwear’s approximate net income, in millions of dollars, for the year ending at time t ( t is time in years since December 2004 ) : 11 a. Estimate n ( 0 ) , n ( 4 ) , and n ( 5.5 ) to the nearest 25. Interpret your answers. b. At which of the following values of t is n ( t ) increasingmost rapidly: 1, 2, 4, 7, 8, or 9? Interpret your answer. c. At which of the following values of t is n ( t ) decreasing most rapidly: 1, 2, 4, 7, 8, or 9? Interpret your answer.
Net Income: Casual Apparel In the following graph,
n
(
t
)
is Pacific Sunwear’s approximate net income, in millions of dollars, for the year ending at time t
(
t
is time in years since December 2004
)
:
11
a. Estimate
n
(
0
)
,
n
(
4
)
, and
n
(
5.5
)
to the nearest 25. Interpret your answers.
b. At which of the following values of t is
n
(
t
)
increasingmost rapidly: 1, 2, 4, 7, 8, or 9? Interpret your answer.
c. At which of the following values of t is
n
(
t
)
decreasing most rapidly: 1, 2, 4, 7, 8, or 9? Interpret your answer.
A factorization A = PDP 1 is not unique. For A=
7 2
-4 1
1
1
5 0
2
1
one factorization is P =
D=
and P-1
30
=
Use this information with D₁
=
to find a matrix P₁ such that
-
-1 -2
0 3
1
-
- 1
05
A-P,D,P
P1
(Type an integer or simplified fraction for each matrix element.)
Matrix A is factored in the form PDP 1. Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace.
30 -1
-
1 0 -1
400
0
0 1
A=
3 4 3
0 1 3
040
3 1 3
0 0
4
1
0
0
003
-1 0 -1
Select the correct choice below and fill in the answer boxes to complete your choice.
(Use a comma to separate vectors as needed.)
A basis for the corresponding eigenspace is {
A. There is one distinct eigenvalue, λ =
B. In ascending order, the two distinct eigenvalues are λ₁
...
=
and 2
=
Bases for the corresponding eigenspaces are {
and ( ), respectively.
C. In ascending order, the three distinct eigenvalues are λ₁ =
=
12/2
=
and 3 = Bases for the corresponding eigenspaces are
{}, }, and {
respectively.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY