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3 years ago

Plzzzz help!!! Due tomorrow!!!

Mathematics

2 answers:

-Dominant- [34]3 years ago

5 0

Answer:

Quad One: A

Quad Two: C

Quad Three: B

Quad Four: E

Hope This Helps! Have A Nice Night!!

Olegator [25]3 years ago

3 0

Answer:

a) 1 b) 3 c) 2 d) 2 e) 4

Step-by-step explanation:

The quadrants go counter-clockwise starting from the top right (+, +). So, the top left is the second (-, +), bottom left is third (-, -), and bottom right is fourth (+, -)

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Find general solutions of the differential equation. Primes denote derivatives with respect toÂ x.

zepelin [54]

Answer:

$\mathbf{3x^2y^3+2xy^4=C}$

Step-by-step explanation:

From the differential equation given:

$6xy^3 +2y ^4 +(9x^2y^2+8xy^3) y' = 0$

The equation above can be re-written as:

$6xy^3 +2y^4 +(9x^2y^2+8xy^3)\dfrac{dy}{dx}=0$

$(6xy^3 +2y^4)dx +(9x^2y^2+8xy^3)dy=0$

Let assume that if function M(x,y) and N(x,y) are continuous and have continuous first-order partial derivatives.

Then;

M(x,y) dx + N (x,y)dy = 0; this is exact in R if and only if:

$\dfrac{{\partial M }}{{\partial y }}= \dfrac{\partial N}{\partial x}}} \ \ \text{at each point of R}$

relating with equation M(x,y)dx + N(x,y) dy = 0

Then;

$M(x,y) = 6xy^3 +2y^4\ and \ N(x,y) = 9x^2 y^2 +8xy^3$

So;

$\dfrac{\partial M}{\partial y }= 18xy^3 +8y^3$

$\dfrac{\partial N}{\partial y }$

Let's Integrate $\dfrac{\partial F}{\partial x}= M(x,y)$ with respect to x

Then;

$F(x,y) = \int (6xy^3 +2y^4) \ dx$

$F(x,y) = 3x^2 y^3 +2xy^4 +g(y)$

Now, we will have to differentiate the above equation with respect to y and set $\dfrac{\partial F}{\partial x}= N(x,y)$ ; we have:

$\dfrac{\partial F}{\partial y} = \dfrac{\partial}{\partial y } (3x^2y^3+2xy^4+g(y)) \\ \\ = 9x^2y^2 +8xy^3 +g'(y) \\ \\ 9x^2y^2 +8xy^3 +g'(y) =9x^2y^2 +8xy^3 \\ \\ g'(y) = 0 \\ \\ g(y) = C_1$

Hence, $F(x,y) = 3x^2y^3 +2xy^4 +g(y) \\ \\ F(x,y) = 3x^2y^3 + 2xy^4 +C_1$

Finally; the general solution to the equation is:

$\mathbf{3x^2y^3+2xy^4=C}$

5 0

3 years ago

Jana is buying a cell-phone plan. She has two plans to choose from.

Svet_ta [14]

Plan A: y = 400 + (60x)
Plan B: y = 200 + (85x)

5 0

3 years ago

In triangle ABC, the measure of angle ABC is 51°

never [62]

Answer:

39 degrees

Step-by-step explanation:

The sum of angle in the triangle ABC is a80 degrees

m<ACB + <BAC + <ABC =1 80

90 + <BAC + 51 = 180

141 + m<BAC = 180

m<BAC = 180-141

m<BAC = 39 degrees

Hence the measure of m<BAC is 39 degrees

7 0

3 years ago

Lyle bought a baseball card

andrey2020 [161]

Answer:

$656

Step-by-step explanation:

1.5% of 800 is 12.

You do 12 x 12 which is 144.

Next you do 800 - 144 which equals 656.

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8 0

3 years ago

Express answer in exact form. Show all work for full credit.

Mandarinka [93]

Our aim is to calculate the Radius so that to use the formula related to the area of a segment of a circle, that is: Aire of segment = Ф.R²/2

Let o be the center of the circle, AB the chord of 8 in subtending the arc f120°

Let OH be the altitude of triangle AOB. We know that a chord perpendicular to a radius bisects the chord in the middle. Hence AH = HB = 4 in

The triangle HOB is a semi equilateral triangle, so OH (facing 30°)=1/2 R. Now Pythagoras: OB² = OH² + 4²==> R² = (R/2)² + 16
R² = R²/4 +16. Solve for R ==> R =8/√3

OB² = OH² +

6 0

4 years ago

Read 2 more answers