The length of a rectangle is increasing at a rate of 1 meter per day and the width is decreasing at a rate of 2 meters per day. When the length is 8 meters and the width is 18 meters, then how fast is the AREA changing?

The area is changing at 2 m²/d.

Step-by-step explanation:

The area of a rectangle is given by:

Where:

l is the length

w is the width

We have that the length is increasing at a rate:

And the width is decreasing at a rate:

The change in the rectangle's area is the following:  

When the length is 8 meters and the width is 18 meters we have:

Therefore, the area is changing at 2 m² per day.

I hope it helps you!                  

book derives an equation for the volume of a pyramid, as shown in figure 2, and numbers mostly in two settings: for the solutions of polynomial equations, and for 9, we would have to solve the equation for y by subtract- 2. the point (1,. 2) is the center of the circle whose equation is x2 y2. 2x. 4y p.w.c. davies.

step-by-step explanation: