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OLEGan [10]
3 years ago
10

A differential equation, a point, and a slope field are given. A slope field(or direction field) consists of line segments with

slopes given by the differential equation. These line segments give a visual perspective of the slopes of the solutions of the differential equation. (a) Sketch two approximate solutions of the differential equation on the slope field, one of which passes through the indicated point. (b) Use integration to find the particular solution of the differential equation and use a graphing utility to graph the solution. Compare the result with the sketches in part (a). dy/dx = x² - 1, (-1, 3)
Mathematics
1 answer:
mihalych1998 [28]3 years ago
4 0

Answer:

Step-by-step explanation:

We're gonna need a graph to do this one.

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Exercise 7.3.5 The following is a Markov (migration) matrix for three locations        1 5 1 5 2 5 2 5 2 5 1 5 2 5 2 5 2
fredd [130]

Answer:

Both get the same results that is,

\left[\begin{array}{ccc}140\\160\\200\end{array}\right]

Step-by-step explanation:

Given :

\bf M=\left[\begin{array}{ccc}\frac{1}{5}&\frac{1}{5}&\frac{2}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{1}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{2}{5}\end{array}\right]

and initial population,

\bf P=\left[\begin{array}{ccc}130\\300\\70\end{array}\right]

a) - After two times, we will find in each position.

P_2=[P].[M]^2=[P].[M].[M]

M^2=\left[\begin{array}{ccc}\frac{1}{5}&\frac{1}{5}&\frac{2}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{1}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{2}{5}\end{array}\right]\times \left[\begin{array}{ccc}\frac{1}{5}&\frac{1}{5}&\frac{2}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{1}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{2}{5}\end{array}\right]

     =\frac{1}{25} \left[\begin{array}{ccc}7&7&7\\8&8&8\\10&10&10\end{array}\right]

\therefore\;\;\;\;\;\;\;\;\;\;\;P_2=\left[\begin{array}{ccc}7&7&7\\8&8&8\\10&10&10\end{array}\right] \times\left[\begin{array}{ccc}130\\300\\70\end{array}\right] = \left[\begin{array}{ccc}140\\160\\200\end{array}\right]

b) - With in migration process, 500 people are numbered. There will be after a long time,

After\;inifinite\;period=[M]^n.[P]

Then,\;we\;get\;the\;same\;result\;if\;we\;measure [M]^n=\frac{1}{25} \left[\begin{array}{ccc}7&7&7\\8&8&8\\10&10&10\end{array}\right]

                                   =\left[\begin{array}{ccc}140\\160\\200\end{array}\right]

4 0
3 years ago
What is the mass, in grams, of 28.52 ml of acetone??
bagirrra123 [75]
28.52 grams of acetone

4 0
3 years ago
Por favor ayudenme con explicacion
Alexeev081 [22]

Answer:

NA

a = 53

Step-by-step explanation:

A bisector creates two equal angles. Set them equal to each other.

5a - 160 = 2a - 1  ( subtract 2a from both sides)

3a = 159               (add 159 to both sides)

a = 53                   (divide by 3)

6 0
2 years ago
Mary has 18 marbles. If Tim has 5 times as many marbles as Mary, which number sentence shows how many marbles Tim has?
mariarad [96]

Answer:

A

Step-by-step explanation:

18 x 5 = 90

3 0
3 years ago
Read 2 more answers
Out of the 20 students in my classroom, 15 wore their pajamas on Pajama Day. In decimal form, represent the portion of students
kvasek [131]
75.0% of students wore pajamas
4 0
3 years ago
Read 2 more answers
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