What set of numbers contains -3 but not 0.3 with the thing on top? <br><br> The set of __

The family of solutions to the differential equation y ′ = −4xy3 is y = 1 √ C + 4x2 . Find the solution that satisfies the initi

slega [8]

Answer:

The correct option is 4

Step-by-step explanation:

The solution is given as

$y(x)=\frac{1}{\sqrt{C+4x^2}}$

Now for the initial condition the value of C is calculated as

$y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(-2)=\frac{1}{\sqrt{C+4(-2)^2}}\\4=\frac{1}{\sqrt{C+4(4)}}\\4=\frac{1}{\sqrt{C+16}}\\16=\frac{1}{C+16}\\C+16=\frac{1}{16}\\C=\frac{1}{16}-16$

So the solution is given as

$y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}$

Simplifying the equation as

$y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1-256+64x^2}{16}}}\\y(x)=\frac{\sqrt{16}}{\sqrt{{1-256+64x^2}}}\\y(x)=\frac{4}{\sqrt{{1+64(x^2-4)}}}$

So the correct option is 4

8 0

3 years ago

Read 2 more answers

Find the quotient. 8,489÷9

eimsori [14]

The answer is 943.2.

4 0

3 years ago

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Blue paper chains 4 inches long. Red paper chains are 3 inches long. How many are needed to have 10 inches of paper chains?

bixtya [17]

1 blue paper chain and 2 red paper chains

7 0

3 years ago

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laws of Sines with find the angle. Find each measurement indicated. Round your answers to the nearest tenth. Show your work plea

Gwar [14]

Answer:

4. Z ≈ 46.1°

5. T ≈ 45.2°

6. F ≈ 15.0°

Step-by-step explanation:

4.

We need to use the Law of Sines, which states that for a triangle with legnths a, b, and c and angles A, B, and C:

$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}$

Here, we can say that ZY = a = 30, X = A = 110, XY = b = 23, and Z = B. Plug these in to find Z:

$\frac{a}{sinA} =\frac{b}{sinB}$

$\frac{30}{sin(110)} =\frac{23}{sinZ}$

Solve for Z:

Z ≈ 46.1°

5.

Use the Law of Sines as above.

$\frac{a}{sinA} =\frac{b}{sinB}$

$\frac{26}{sin(76)} =\frac{19}{sinT}$

Solve for T:

T ≈ 45.2°

6.

Again, use the Law of Sines as before.

$\frac{a}{sinA} =\frac{b}{sinB}$

$\frac{29}{sin(137)} =\frac{11}{sinF}$

Solve for F:

F ≈ 15.0°

6 0

3 years ago

Help me pls<br><br> What is a visual Overlap

PilotLPTM [1.2K]

Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.

- Hope this helps!

4 0

3 years ago

What set of numbers contains -3 but not 0.3 with the thing on top? The set of ___