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Wittaler [7]
3 years ago
6

Which canadian island has a population density that ranges from under 2 people to as many as 250 people per square mile?

Mathematics
1 answer:
KonstantinChe [14]3 years ago
4 0
<span>The island that has the population density ranging from less than to up to two hundred fifty people per square mile is Vancouver Island. The island is roughly 12,079 square miles with a total population of 748,937 according to the 2009 census bureau.</span>
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iragen [17]

Answer:

45 copies per minute

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3 years ago
Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y' = x2y − 1 2 y
oksano4ka [1.4K]

Answer: -1.0018*10^42

Step-by-step explanation:

The Euler Method in numerical analysis is used to approximate the solution to an initial value problem using the tangent line to the solution curve through the (x0,y0) to obtain such approximations.

The euler method equation is:

Yn+1 = Yn + h*f(Xn,Yn)

Where n = number of steps, h = Xn+1 - Xn, f(Xn,Yn) is the slope of the curve at (Xn,Yn).

Variables given in the equation

Y(X=0) = 9,

X0 = 0.

h = step = 0.2

f(X,Y) = X^2*Y - 12*Y^2

B

For the first step, n = 0 in the euler equation. Therefore we have:

Y1 = Y0 + h*f(X0,Y0)

Substituting the Y0 = 9 and X0 = 0 into the function f(X,Y) = X^2*Y - 12*Y^2 = 0^2*9 - 12*9^2 = -972.

Therefore Y1 = 9 + 0.2*(-972) = -185.4.

For n = 1

Repeating the same step with X1 = X0 + h = 0 + 0.2 = 0.2,

Y1 = -185.4,

h = 0.2.

Substitute the variables into the equation Y2 = Y1 + h*f(X1,Y1) and f(X1,Y1) = X1^2*Y1 - 12*Y1^2

Y2 = -82682.4672.

Continue the iterations following the steps above till the result is reached.

The summary of the iteration.

When n = 0, X = 0, Y = -185.4

When n = 1 , X = 0.2, Y = -82682.4672

When n = 2 , X = 0.4, Y = -1.6407*10^10

When n = 3, X = 0.6, Y = -6.4609*10^20

When n = 4, X = 0.8, Y = -1.0018*10^42

4 0
3 years ago
A. Draw the graph of the function y = |x - 2| - 1. B. Label the vertex and all intercepts. Upload a copy of your handwritten gra
hjlf

Step-by-step explanation:

y = |x - 2| - 1

Given equation is in the form of y=|x-h|+k

Where (h,k) is the vertex

h = 2  and k =-1

So (2, -1) is the vertex for the given function

To find x intercepts we plug in 0 for y

we will get two values for x because of absolute function

0 = |x-2| -1

add 1 on both sides

|x-2| =1

x-2 =1                          and x-2 =-1

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So x intercepts are (1,0)  and (3,0)

the graph is attached below


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Which of the following are composite numbers?
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When The length of each leg is 1 unit, the ratio of the hypotenuse to the leg is?
Musya8 [376]

Answer:

\sqrt{2}

Step-by-step explanation:

Both legs are equal, which implies the triangle is a 45-45-90.

The hypotenuse of this triangle is: \sqrt{2}

3 0
3 years ago
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