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4 years ago

11

445.76×9.634 is approximately equal to

1 answer:

Shalnov [3]4 years ago

8 0

Answer:

Step-by-step explanation:

It sounds like you are asked to estimate it. That's a very valuable skill.

9.634 is about 10

445.76 is about 446

So an approximate answer is 446 * 10 = 4460

How close is that to the actual answer? Let's find out.4294.45

On a test, if you get an answer like 4460 in your head, and your calculator says 4294.45, you are pretty certain that you have done the question correctly.

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Consider the differential equation: (y^2+2*x)dx+(2*x*y-1)dy = 0. (a) show that the equation is exact by evaluating (\partial m)/

ruslelena [56]

The given ODE

$\underbrace{(y^2+2x)}_M\,\mathrm dx+\underbrace{(2xy-1)}_N\,\mathrm dy=0$

is exact if $\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$ . It so happens that we have $\frac{\partial M}{\partial y}=2y=\frac{\partial N}{\partial x}$ , so it is indeed exact. For such an ODE, we're looking for a solution of the form $\Psi(x,y)=C$ , for which the differential is

$\mathrm d\Psi=\dfrac{\partial\Psi}{\partial x}\,\mathrm dx+\dfrac{\partial\Psi}{\partial y}\,\mathrm dy=0$

so we have the following system of PDEs that allow us to solve for $\Psi$ :

$\dfrac{\partial\Psi}{\partial x}=M=y^2+2x$

$\dfrac{\partial\Psi}{\partial y}=N=2xy-1$

In the first PDE, we can integrate both sides with respect to $x$ and recover $\Psi$ :

$\displaystyle\int\frac{\partial\Psi}{\partial x}\,\mathrm dx=\int(y^2+2x)\,\mathrm dx$

$\implies\Psi(x,y)=xy^2+x^2+f(y)$

Then differentiating this with respect to $y$ returns $N$ :

$\dfrac{\partial\Psi}{\partial y}=2xy+\dfrac{\mathrm df}{\mathrm dy}=2xy-1$

$\implies\dfrac{\mathrm df}{\mathrm dy}=-1$

$\implies f(y)=-y+C$

So the general solution to the ODE is

$\Psi(x,y)=xy^2+x^2-y+C=C$

or simply

$xy^2+x^2-y=C$

4 0

3 years ago

What is the measure of angle f?

dlinn [17]

Answer:

130 fj is a little bit of a good job for the first time in a new generation of companies in a little

Step-by-step explanation:

its 130 inches tall and a good job to do with my first day of work at a time when the first thing you can get to the point where

3 0

3 years ago

Solve. 4y 16 > –8 <br> a. y > –6 <br> b. y > –2 <br> c. y > 2 <br> d. y > 6

joja [24]

Sorry if no one helped u well im here lets get started
I would go with C.y>2
26>-8 true

7 0

4 years ago

1. A fish is 12 meters below the surface of the ocean. What is its elevation? meters 2. A sea bird is 28 meters above the surfac

Vlad1618 [11]

Answer:

- 12 meters

28 meters

40 meters

Step-by-step explanation:

Given that:

A fish is 12 meters below the surface of the ocean. What is its elevation?

Position of fish = 12 meters below the surface = - 12 ;

Sea level = 0

Elevation = sea level + position

Elevation = 0 + (- 12)

= - 12 meters

2. A sea bird is 28 meters above the surface of the ocean. What is its elevation?

Position of bird = 28 meters below the surface = (28) ;

Sea level = 0

Elevation = sea level + position

Elevation = 0 + 28

= 28 meters

3. If the bird is directly above the fish, how far apart are they?

If bird is directly above the fish;

Distance between bird and fish :

Elevation of bird - elevation of fish

28 - (-12)

28 + 12

= 40 Meters

3 0

3 years ago

The pizza delivery man knocked at the door. Joseph received 3 large meat lover's pizzas for himself and 13 of his closest friend

grigory [225]

The total of Pizzas is 16.
16×1/4 =4 So by halftime they ate 4 pizzas.

4 0

3 years ago