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AlekseyPX
2 years ago
8

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example tha

t disproves the statement.
The equation y' = 3y - 2x + 6xy - 1 is separable.
Mathematics
1 answer:
ioda2 years ago
3 0
True.

You're allowed to move stuff around. Dogs of the AMS.

y' = 3y - 2x + 6xy - 1 \\
y' = 3y + 6xy - 2x - 1 \\
dy/dx= 3y(1 + 2x) - (2x + 1) \\
dy/dx = 3y(1 + 2x) - (1 + 2x) \\
\frac{dy}{dx} = (3y - 1)(1 + 2x) \ \Rightarrow\ \dfrac{dy}{3y-1} = (1 + 2x) dx

We wrote it in the form dy/dx = g(x) f(y) so this is separable.
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Name the intersection of AB and CD
Vlad1618 [11]

Answer:

two lines, AB and CD, intersect at point E. find the values of x and y given that: the measure of angle AED equals (10x+9y), the measure of angle AEC equals (xy), and the measure Algebra -> Angles -> SOLUTION: two lines, AB and CD, intersect at point E. find the values of x and y given that: the measure of angle AED equals (10x+9y), the measure of angle AEC equals (xy), and the measure Log On

Step-by-step explanation:

7 0
2 years ago
Javier writes an integer on a piece of paper. The absolute value of his number is less than 4. Which is true of the possible val
alex41 [277]

Answer:

The possible values are less than 4 but greater than –4

Step-by-step explanation:

If the absolute value of integer number is less than 4 then it is 0, 1, 2 or 3.

so the possible integer numbers are: -3, -2, -1, 0, 1, 2 or 3.

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7 0
3 years ago
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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 feet cubed.
asambeis [7]

9514 1404 393

Answer:

  V = (2/3)(11)

Step-by-step explanation:

The given cylinder has a height of 2r, so its volume is ...

  V = πr²(2r) = 2πr³

The volume of a sphere is given by ...

  V = 4/3πr³

Then the ratio of the volume of the sphere to the volume of the cylinder is ...

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So, the volume of the sphere is 2/3 times the volume of the cylinder:

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4 0
2 years ago
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What is the simple interest earned when the principal is $3050, the rate is 6% and 3 years?
Yanka [14]

Answer:

$549

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 3050 × 0.06 × 3 = 549

I = $ 549.00

The simple interest accumulated

on a principal of $ 3,050.00

at a rate of 6% per year

for 3 years is $ 549.00.

7 0
3 years ago
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Solve the following system of equations graphically. Click on the graph until the correct one appears.
docker41 [41]

Here's the graphical solution.

... (x, y) = (1, 0)

4 0
3 years ago
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