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Aliun [14]
3 years ago
12

1. You and 3 friends go out to Baskin and Robbins. Each buy ice cream for $5, a cookie = $3, and

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0
4(5)+4(3)+3(2)=$38 total cost =$38
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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

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3 years ago
Convert 34% to a simplified fraction
Fiesta28 [93]

Answer:

17/50

Step-by-step explanation:

mark as brainliest pls

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3 years ago
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The CEO of a local tech company wants to estimate the proportion of employees that are pleased with the cleanliness of the break
Setler [38]

The type of sampling method proposed is a <u>convenience sampling</u> because it's a non-probability sampling method.

<h3>What is convenience sampling?</h3>

Convenience sampling can be defined as a type of non-probability sampling method which involves surveying and selecting representatives that are easily accessible.

The CEO could implement the second sampling method as follows:

  • Assign a serial number to each employees of the total 4,700 employee names.
  • Use a random number generator software to obtain 600 random numbers.
  • The 600 random numbers in Step 2 above forms the desired sample of 600 employees out of 4,700 employees at the company.

Read more on convenience sampling here: brainly.com/question/1445924

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What is the value of t if:<br> 1,5×174=t×4,5×87
lana66690 [7]
Can you do all calculations around T? This is called implying which would help me a lot to help you solve this
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What is the set builder notation of A={1,8,27,64,125}
Alex787 [66]
A=\{1;\ 8;\ 27;\ 64;\ 125\}\\\\1^3=1\\2^3=8\\3^3=27\\4^3=64\\5^3=125\\\\Therefore,\ the\ set\ builder\ notation\ is:\\\boxed{A=\{y\in\mathbb{N}\ |\ y=x^3\ \wedge\ x\in\{1;\ 2;\ 3;\ 4;\ 5\}\}}
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