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Korolek [52]
3 years ago
9

Write two expressions that are equivalent to the expression below. (9-0) + (9-c) + (9-c) + (9-C)

Mathematics
1 answer:
Nikolay [14]3 years ago
4 0

Step-by-step explanation:

4(9 - c) \\  36 - 4c \\  an \: example \: of \: two \: equivalent \\ expression \: includes \:  \\ the \: general \: experssion \: \\   and \: then \: the \: one \: that \: \\  the \: one \: that \: is \: factured

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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
Ten cars were recently assembled at a factory. Of these
bogdanovich [222]

Answer:

1/12

Step-by-step explanation:

5 0
2 years ago
What is 90% of 20????
pickupchik [31]

Answer:

18

Step-by-step explanation:

Multiply 20 by 0.90 (that is 90%)

18 is the answer

Hope this helps :)

6 0
3 years ago
Read 2 more answers
Which ones are the correct ones?
kirill115 [55]

Answer:

a) 5/-6, - 5/6

b) 7/-2, -7/2

Step-by-step explanation:

8 0
3 years ago
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A tortoise can reach speeds of 0.12 m/s. Work out the speed of a tortoise in
Free_Kalibri [48]

Answer:

yous should multiply it by 3.6;

0.12*3.6=0.432 km/h

7 0
3 years ago
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