Answer:

Step-by-step explanation:
The work is define as the integral of the force times distance. So we have:

Now, we can write the force in terms of density.

V is the volume (V=2*1*1=2 m³)
So the work will be:

The limit of integration is between 0 and 0.5 because we want to pump half of the water out of the aquarium.


I hope it helps you!
Please find the attachment.
Let x represent the side length of the squares.
We have been given that an open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the sides. We are asked to find the volume of the box.
The side of box will be
and
.
The height of the box will be
.
The volume of box will be area of base times height.

Now we will use FOIL to simplify our expression.


Now we will distribute x.


Therefore, the volume of the box would be
.
Answer:

Step-by-step explanation:
on the picture
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Always find the difference in prices first.
<span>3.45 - 3.20 = $.25 difference </span>
<span>Always divide the difference by the original price. Change this number into a per cent. </span>
<span>.25/3.45 = .07246 = 7.2% decrease </span>
Consider the attached ellipse. Let the sun be at the right focus. Then perihelion is at right vertex on the x-axis and aphelion is at the left vertex on the x-axis.
The distances:
- from perihelion to the sun in terms of ellipse is a-c;
- from aphelion to the sun in terms of ellipse is a+c.
Then

Add these two equations:
and subtract first equation from the second:
Note that
thus

The equation for the planet's orbit is
