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kherson [118]
3 years ago
10

Factor 6x2 + 12x - 9 completely.

Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0

Answer:

work is pictured and shown

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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
Hey, I really need help on this! This work is really hard and I just need a little help to get this right. Thank you!
lorasvet [3.4K]

B. 40 meters is the answer.

8 0
3 years ago
Read 2 more answers
16x+40y factor each expression
ira [324]
So find comon factors

factor
16=2 times 2 times 2 times2
40=2 time 2 times 2 times 5
common is
2 times 2 itmes 2=8
reverse distribute
ab+ac=a(b+c)
16x+40y=8(2x+10y)

8(2x+10y)
6 0
3 years ago
Which of the numbers below belong to both the set of integers and rational numbers?
Vlad [161]

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity.

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…

Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…

All integers belong to the rational numbers. A rational number is a number

<span><span><span>ab</span>,b≠0</span><span><span>ab</span>,b≠0</span></span>

Where a and b are both integers.


3 0
3 years ago
Read 2 more answers
- 1/3 = r - 3/4 help pleaase
GaryK [48]
I think the answer is r = 5/12
7 0
3 years ago
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