The radius of a circular clock is 10,5 inches. Which measurement is closest to the circumference of the clock in inches?

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

irina [24]

Answer:

Therefore the value of y(1)= 0.9152.

Step-by-step explanation:

According to the Euler's method

y(x+h)≈ y(x) + hy'(x) ....(1)

Given that y(0) =3 and step size (h) = 0.2.

$y'(x)= x^2y(x)-\frac12y^2(x)$

Putting the value of y'(x) in equation (1)

$y(x+h)\approx y(x) +h(x^2y(x)-\frac12y^2(x))$

Substituting x =0 and h= 0.2

$y(0+0.2)\approx y(0)+0.2[0\times y(0)-\frac12 (y(0))^2]$

$\Rightarrow y(0.2)\approx 3+0.2[-\frac12 \times3]$ [∵ y(0) =3 ]

$\Rightarrow y(0.2)\approx 2.7$

Substituting x =0.2 and h= 0.2

$y(0.2+0.2)\approx y(0.2)+0.2[(0.2)^2\times y(0.2)-\frac12 (y(0.2))^2]$

$\Rightarrow y(0.4)\approx 2.7+0.2[(0.2)^2\times 2.7- \frac12(2.7)^2]$

$\Rightarrow y(0.4)\approx 1.9926$

Substituting x =0.4 and h= 0.2

$y(0.4+0.2)\approx y(0.4)+0.2[(0.4)^2\times y(0.4)-\frac12 (y(0.4))^2]$

$\Rightarrow y(0.6)\approx 1.9926+0.2[(0.4)^2\times 1.9926- \frac12(1.9926)^2]$

$\Rightarrow y(0.6)\approx 1.6593$

Substituting x =0.6 and h= 0.2

$y(0.6+0.2)\approx y(0.6)+0.2[(0.6)^2\times y(0.6)-\frac12 (y(0.6))^2]$

$\Rightarrow y(0.8)\approx 1.6593+0.2[(0.6)^2\times 1.6593- \frac12(1.6593)^2]$

$\Rightarrow y(0.6)\approx 0.8800$

Substituting x =0.8 and h= 0.2

$y(0.8+0.2)\approx y(0.8)+0.2[(0.8)^2\times y(0.8)-\frac12 (y(0.8))^2]$

$\Rightarrow y(1.0)\approx 0.8800+0.2[(0.8)^2\times 0.8800- \frac12(0.8800)^2]$

$\Rightarrow y(1.0)\approx 0.9152$

Therefore the value of y(1)= 0.9152.

4 0

2 years ago

6 + 2/5b = 12 What does “b” equal?

Elis [28]

Answer:

B = 15

Step-by-step explanation:

Combine multiplied terms into a single fraction

6 + 2b/5 = 12

Subtract 6 from both sides

6 + 2b/5 (-6) = 12 (-6) = 2b/5 = 6

Multiply all terms by the same value to eliminate fraction denominators

2b/5 ( x 5) = 6 (x 5)

Simplify

2b = 30

4 0

2 years ago

Read 2 more answers

Anyone know the answer to this?

Kaylis [27]

I think its a

because the line segments connect each other.

3 0

2 years ago

What kind of triangle does it form?

Gwar [14]

Answer:

It forms a scalene triangle

Step-by-step explanation:

This is because scalene triangle does not have any of its sides equal.

$\sqrt{111}$ is also 10.54.And looking at the measurements none of it are equal to each other so therefore it is a scalene triangle

7 0

2 years ago

Solve the equation. 25-3x=40 what does x equal?

9966 [12]

Answer:

x=-5

Step-by-step explanation:

25 - 3x = 40

-3x + 25 =40

-3x +25--25=40-25

-3x=15

-3x÷-3=25÷-3

x=-5

6 0

2 years ago

Read 2 more answers