Consider the differential equation
dy / dt = (y − 1)(1 − t2)
Suppose you wish to use Euler's method to approximate the solution satisfying a particular initial condition: y(0) = y0 = 0.8.
If Δt = 0.7, compute y1 and y2. Enter the exact decimal value of y2.

Answers

Answer 1

Using Euler's method with Δt = 0.7, the approximate values for y1 and y2 are 0.556 and 0.340, respectively.

What are the approximate values of y1 and y2?

To approximate the values of y1 and y2 using Euler's method, we start with the initial condition y(0) = 0.8 and use the given differential equation dy/dt = (y - 1)(1 - t^2) with a step size of Δt = 0.7.

Approximate y1:

Using Euler's method, we compute y1 as follows:

y1 = y0 + Δt * (y0 - 1) * (1 - t0^2) = 0.8 + 0.7 * (0.8 - 1) * (1 - 0^2) = 0.556

Approximate y2:

Using Euler's method again, we calculate y2 as follows:

y2 = y1 + Δt * (y1 - 1) * (1 - t1^2) = 0.556 + 0.7 * (0.556 - 1) * (1 - 0.7^2) = 0.340

Therefore, the approximate value of y2 is 0.340.

Learn more about Euler's method

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Related Questions

Mr. Johnson sells erasers for $3 each. He sold 96 erasers last week and he sold 204 erasers this week

Answers

Answer:

288

Step-by-step explanation:

it's pretty simple, if u do 96 * 3, it will be that. yw :)

Answer:

He made $324.

Step-by-step explanation:

96 x 3 = 288

204 x 3 = 612

So, then 612-288 = 324

Hope this helped!

Does 18x-(9x+2)=4x have a solution?

Answers

Answer:

Yes

Step-by-step explanation:

9x - 4x = 2

5x = 2

x = 2/5

x = 0.4

BRAINLIEST FOR 1ST AND SECOND WHO ANSWERS.... EMERGENCY


Marcie pays someone to clean the salon. She pays them $15.00 per hour. She offers them a 3% raise on their hourly pay. How much will she now pay them per hour?

Answers

Answer:

I think it will be $16.50

Step-by-step explanation:

sorry if I'm wrong

How much will
11. The markup on a restaurant meal is 250%. A meal costs $7.30 to produce.
the customer be charged before tax and tip?

hsdhjdjs

Answers

Answer:

2.5t 7.3=18.25

Step-by-step explanation:

250/100,please mark as brilliant

What is the value of X

Answers

Answer:

The Value of X in 2nd one can be 14√3.

The Value of X in 1st one can be 6√3.

Step-by-step explanation:

2.)here we used tan 60° formula with P/B as x/14 respectively.

as the value of tan 60° is √3, we got,

√3= x/14

x= 14√3.

1.) Here we used sin 30° formula with 1/√2 as P/H

so we got,

6/x= 1/√2

hence the answer comes:-

x= 6√2..

Hope so it helped you........

Something and 14√3.

Steps

The person above me has calculated something.

The way to get 14√3 can be seen in the image above.

Write as an expression: Jones Elementary School sang 3 more than 4 times as many songs as Redwc
Middle School at the concert

Answers

it should be 4x+3. since u don’t have the amount of songs that redwc sang, it would be a variable such as x, and the 3 more means to add. hope this helped!

Unrestrained growth of cells in a petri dish can be extremely rapid, with a single cell growing into a number of cells, N, given by the formula, N(t) = 8t, after t hours.

Enter the formula for the number of cells in the petri dish when a culture is started with 30 isolated cells.

The new formula is N(t) = .

How many cells do you expect after 3 hours?

You should expect ___
cells.

Answers

Answer:

New Formula is [tex] N(t) = 30t [/tex]

You should expect 90 cells

Step-by-step explanation:

✔️The new formula that would represent the number of cells when 30 isolated cells are used to start a culture would be:

[tex] N(t) = 30t [/tex]

✔️Number of cells, N(t), to expect after 3 hours, t:

Substitute t = 3 into [tex] N(t) = 30t [/tex]

Thus:

[tex] N(30) = 30*3 [/tex]

[tex] N(30) = 90 [/tex]

You should expect 90 cells

Which is the equation of a line that has a slope of 1 and passes through point (5, 3)?
O y=x-2
y = x + 2
O y = x + 3
O y=x-5
Save and Exit

Answers

Answer:

y=x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-3=1(x-5)

y-3=x-5

y=x-5+3

y=x-2

2.8 -3x =12.1 −6x what's x

Answers

X= 3.1 is the answer
The answer is X=3.1!

Name all the quadrilaterals that have the given property.


two pairs of parallel sides and all angles congruent


a

rectangle, square

b

trapezoid

c

rhombus, square

d

rhombus

Answers

Answer:

A) rectangle and square

Step-by-step explanation:

Answer:

A) rectangle and square

Step-by-step explanation:

 

 Hope it work

Brainliest plz

300 ml of pure alcohol is poured from a bottle containing 2 l of pure alcohol. Then, 300 ml of water is added into the bottle. Again 300 ml of the diluted alcohol is poured out and 300 ml of water is added into the bottle, Find the percentage of pure alcohol in the solution now.

Answers

Answer:

The present percentage of pure alcohol in the solution is 72.25% of pure alcohol

Step-by-step explanation:

The volume of pure alcohol poured from the 2 l bottle of pure alcohol = 300 ml of pure alcohol

The volume of water added into the bottle after pouring out the pure alcohol = 300 ml of water

The volume of diluted alcohol poured out of the bottle = 300 ml of diluted alcohol

The volume of water added into the bottle of diluted alcohol after pouring out the 300 ml of diluted alcohol = 300 ml of water

Step 1

After pouring the 300 ml of pure alcohol and adding 300 ml of water to the bottle, the percentage concentration, C%₁ is given as follows;

C%₁ = (Volume of pure alcohol)/(Total volume of the solution) × 100

The volume of pure alcohol in the bottle = 2 l - 300 ml = 1,700 ml

The total volume of the solution = The volume of pure alcohol in the bottle +  The volume of water added = 1,700 ml + 300 ml = 2,000 ml = 2 l

∴ C%₁ = (1,700 ml)/(2,000 ml) × 100 = 85% percent alcohol

Step 2

After pouring out 300 ml diluted alcohol from the 2,000 ml, 85% alcohol and adding 300 ml of water, we have;

Volume of 85% alcohol = 2,000 ml - 300 ml = 1,700 ml

The volume of pure alcohol in the 1,700 ml, 85% diluted alcohol = 85/100 × 1,700 = 1,445 ml

The total volume of the diluted solution = The volume of the 85% alcohol in the solution + The volume of water added

∴ The total volume of the twice diluted solution = 1,700 ml + 300 ml = 2,000 ml

The present percentage of pure alcohol in the solution, C%₂ = (The volume of pure alcohol in the 1,700 ml, 85% diluted alcohol)/(The total volume of the diluted solution) × 100

∴ C%₂ = (1,445 ml)/(2,000 ml) × 100 = 72.25 %

The present percentage of pure alcohol in the solution, C%₂ = 72.25%

Esther is participating in a walk-a-thon. She will raise 5 dollars for her charity for each lap she walks.
Let l = the number of laps she walks
Let d = the number of dollars she raises
help PLEASEEEEEEE

Answers

Answer:

The equation is d=5l

As the number of LAPS increases, the number of DOLLARS also increases

Step-by-step explanation:

Edge 2021 on assignment

Answer:

d=5l

laps

dollars

Step-by-step explanation:

i did it and its correct

Find the value of x. Then find the measure of the red arc.

Answers

Answer:

x = 70 degrees, red arc= 110 degrees

Step-by-step explanation:

x and 2x-30 added together is 180 degrees.

We can make an equation to find x,

x + (2x - 30) = 180

3x - 30 = 180

Add 30 to both sides to isolate x

3x = 210

By dividing both sides by 3, we get x = 70

Now we know the red arc is 2x - 30. We can plug x in because we know the value now.

2(70) - 30

140 - 30

Red Arc = 110 degrees

The value of x = 70 degrees, and the measure red arc of 110 degrees,

In the case when (2x - 30) degrees  and x degrees are given.

Calculation of the value of x and red arc:

Since

x + (2x - 30) = 180

3x - 30 = 180

3x = 210

x = 70

Now

= 2(70) - 30

= 140 - 30

= 110 degrees

hence, The value of x = 70 degrees, and the measure red arc of 110 degrees

Learn more about arc here: https://brainly.com/question/24494304

Giving brain list
tell whether the ratio is a proportion
Need work shown
Need 4,5,6,7,8
If u answer with a d*um* answer I will report u

Answers

Answer:

i believe it proportional

Step-by-step explanation:

pls no report me i did this stuff in 6th grade so i forgot :)

*Solve by Graphing* Greg went to the hardware store to buy bolts and washers. The bolts cost $0.55 each and the washers cost $0.07 each. George paid $2.41 for a total price of 7 pieces. How many of each item did he get?​

Answers

Answer:

He got 4 bolts and 3 washers

Step-by-step explanation:

Because 0.55 · 4 = 2.2

0.07 · 3 = .21

and put it together, 2.2 + .21 = 2.41

Please help quick will give brainliest!

Answers

Answer: Choice A) There must be a vertical asymptote at x = c

Explanation:

The first limit [tex]\displaystyle \lim_{x\to c^{-}}h(x) = -\infty[/tex] says that as x approaches c from the left side, the f(x) or y values approach negative infinity. So the graph goes down forever as x approaches this c value from the left side.

The limit [tex]\displaystyle \lim_{x\to c^{+}}h(x) = \infty[/tex] means that as x approaches c from the right side, the y values head off to positive infinity.

Either of these facts are enough to conclude that we have a vertical asymptote at x = c. We can think of it like an electric fence in which we can get closer to, but not actually touch it.

you ride through some wet paint on your bike creating a red spot on the tire. write a cosine equation to model the height of the red spot over the distance you ride.
Your bike tire has a radius (r) of 11 inches.
The period is the circumference of the tire (2pir)
start the cycle when the spot is at the top of the tire

Answers

Answer: y = 11 cos (1/11x) +11

Step-by-step explanation:

Writing a cosine equation to model the height of the red spot over the distance you ride will be:

D. [tex]y=11 cos (1/11x) + 11[/tex]

Some cosine formulas are:

[tex]cos A= (b2+c2-a2)/(2bc)[/tex]

What is a cosine equation?

A cosine equation or formula is is one of the three most common trigonometric function. It is the trigonometric function that equals the ratio of the side adjacent to an acute triangle to the hypotenuse.

Therefore the correct answer is option D.

Read more about cosine equation here:

https://brainly.com/question/17075439

How many solutions to 10x - 6 = 10 x + 6

Answers

Answer:

no solution

Step-by-step explanation:

-5/7b = -4
What does B equal?

Answers

Answer:

28/5 or 5,6

Step-by-step explanation:

cp=Rs6250 loss%=4% find sp​

Answers

Formula:
Selling price = Cost price x (1 - 4%)


Selling price:
= 6250 x (1 - 4%)

= 6250 x 96%

= 6250 x 96/100

= 6250 x 24/25

= Rs 6000

Hope it helps!

Solve - x/6 less than or equal to 3

Answers

Answer: x is greater than or equal to 18

Step-by-step explanation:

Answer:

x ≤ - 2

Step-by-step explanation:

- x/6 ≤ 3

- x/2 ≤ 1

- x ≤ 2

x ≤ - 2

She needs altogether 2 2/4. that is 2 wholes and 2/4 fraction. if we consider using 1/4 cup, 1 whole is made of four quarter cups. Therefore 2 wholes require eight quarter cups. Then theres a remaining fraction of 2/4 which is equivalent to two quarter cups. 1/4 + 1/4 = 2/4. Therefore altogether 8 + 2 = 10 of the 1/4 cups are required for the recipe. 10 of 1/4 cups are needed is this right? Yes or no

Answers

Answer:

Yes

Step-by-step explanation:

According to the analysis;

There are four 1/4 cups in one whole

There are eight 1/4 cups in two wholes

Then the fraction 2/4 = 1/4 + 1/4 Hence there are two 1/4 cups in 2/4.

Altogether we have the fraction 2 2/4 as 8 + 2 = 10 measures of 1/4 cups

To confirm, 10 * 1/4 = 2 2/4

Therefore, the analysis is correct.

At her restaurant, Yolanda opened 34 cans of tomato sauce. She needs to use 4 cans of sauce for one pan of lasagna. How many pans of lasagna could Yolanda make if she uses all of the cans? Write the answer as a mixed number.

Answers

she could make 8 and a half pans of lasagna

Step-by-step explanation:

so divide 34 and 4 you will get 17 / 2 so to make it into a mixed number divide it by 8 and it will 16 so 1 will be remaining so it will be 8 1/2 hope it helps :D

20 points!!

Find the value of y when x=9.
y=1- 2x

Answers

Answer: The answer is -17

Step-by-step explanation:

Brainlist Plz?

ASAP PLEASE I WILL MAKE BRAINIEST

The coordinates of the point UU are (-4,3)(−4,3) and the coordinates of point VV are (-4,-9).(−4,−9). What is the distance, in units, between the point UU and point V?V?

Answers

Answer:

12 units

Step-by-step explanation:

Given points:

U(-4, 3) and V(-4, -9)

The line segment between the given points is vertical as their x-coordinates are same.

The distance between the points is the difference between their y-coordinates:

3 - (-9) = 12 units

Can someone please help with this math question?

Answers

Answer:

Its easy

Step-by-step explanation:

1) 12

2)76

3)21.5

4)22.0

True or False:
The relation shown is a function.

20 POINTS!!

Answers

Answer:

True

Step-by-step explanation:

For a relation to be a function each value of x must pair up with one and only one value of

The relation shown is a function.

I’m having a bit of trouble could someone please help me??

Answers

Answer:

1.Conduction

2.the second one

sorry if these are wrong

Step-by-step explanation:

Answer:

#1 Convection

#2 From the hot to the mug

find a ⋅ b
a = 7i - 4j, b = 4i + 3j

Answers

Answer:

28i^2 + 5ij - 12j^2

Step-by-step explanation:

(7i-4j)(4i+3j)

7i times 4i is 28i^2

7i times 3j is 21ij

-4j times 4i is -16ij

-4j times 3j is -12j^2

In equation it looks like this:

28i^2+21ij-16ij-12j^2

Simplify 21ij and -16ij

21ij-16ij is 5ij

So the answer is:

28i^2 + 5ij - 12j^2

Hope this helps!

Answer:

The answer is 16

Step-by-step explanation:

there are 4 pizzas and 3 people. how much would each eraser get if each person eats the same amount.​

Answers

Answer:

Each person should share 1 and 1/2

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