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tatuchka [14]
2 years ago
10

Find each difference. if you get stuck consider using a numberline

Mathematics
1 answer:
maksim [4K]2 years ago
7 0

Answer:

a,5. e,-13

b,-5. f,13

c,13. g,5

d,5. h,-13

Step-by-step explanation:

..............................this is the answer

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Solve the following differential equation: (2x+5y)dx+(5x−4y)dy=0 *Hint: they are exact<br><br> C=.
Tpy6a [65]

Answer with Step-by-step explanation:

The given differential equation is

(2x+5y)dx+(5x-4y)dy=0

Now the above differential equation can be re-written as

P(x,y)dx+Q(x,y)dy=0

Checking for exactness we should have

\frac{\partial P}{\partial y}=\frac{\partial Q}{\partial x}

\frac{\partial P}{\partial y}=\frac{\partial (2x+5y)}{\partial y}=5

\frac{\partial Q}{\partial x}=\frac{\partial (5x-4y)}{\partial x}=5

As we see that the 2 values are equal thus we conclude that the given differential equation is exact

The solution of exact differential equation is given by

u(x,y)=\int P(x,y)dx+\phi(y)\\\\u(x,y)=\int (2x+5y)dx+\phi (y)\\\\u(x,y)=x^2+5xy+\phi (y)

The value of \phi (y) can be obtained by differentiating u(x,y) partially with respect to 'y' and equating the result with P(x,y)

\frac{\partial u}{\partial y}=\frac{\partial (x^2+5xy+\phi (y)))}{\partial y}=Q(x,y))\\\\5y+\phi '(y)=(5x-4y)\\\\\phi '(y)=5x-9y\\\\\int\phi '(y)\partial y=\int (5x-9y)\partial y\\\\\phi (y)=5xy-\frac{9y^2}{2}\\\\\therefore u(x,y)=x^2+10xy-\frac{9y^2}{2}+c

5 0
3 years ago
D = rt ; Solve for t
Nastasia [14]

Answer:

T stands for time

Step-by-step explanation:

8 0
3 years ago
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How do I solve this .... question in the image. <br><br>thank you​
dezoksy [38]

Answer:

Below

Step-by-step explanation:

● x-20 = y+20 (1)

● 2(y-22) = x+22 (2)

This is a system of simulataneous equations

Let's simplify the expressions first

● x -20 = y + 20 (1)

Add 20 to both sides

● x -20 + 20 = y+20 +20

● x = y + 40 (1)

● 2(y-22) = x+22 (2)

● 2y - 44 = x +22

Substrat 22 from both sides

● 2y-44-22 = x+22-22

● 2y -66 = x (2)

This is the new system:

● x = y+40 (1)

● x = 2y-66 (2)

Substract (2) from (1)

● x-x = y+40-(2y-66)

● y+40-2y+66 = 0

● -y +106 = 0

● y = 106

Replace y with 106 in (1)

● x = y +40

● x = 106+40

● x = 146

So the solutions are (146,106)

8 0
3 years ago
Titan, one of saturn's moons, is really large! It has a diameter of 5.15x100 kilometers wide! How large is Titan?
ivann1987 [24]

5.15 * 100

= 515

515 kilometers wide.

Hope this helps!

8 0
3 years ago
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EASY PLS HELP WILL GIVE BRAINLY If -11 + N = -11, then N is the _____.
Tems11 [23]

Answer:

SteIf -11 + N = -11 then N is the additive inverse because if we do process of elimination (POE) we can cross out C and D because this is a addition problem not a multiplication, and we know its not B because that's like 99 + 0 = 99 set, but instead its A because its just like  -8 + 8 = 0. (If this was not a multiple choice question then tell me)



3 0
2 years ago
Read 2 more answers
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