Shenelle has 100100100 meters of fencing to build a rectangular garden.

The garden's area (in square meters) as a function of the garden's width www (in meters) is modeled by:

A(w)=-(w-25)^2+625A(w)=−(w−25)

2

+625A, left parenthesis, w, right parenthesis, equals, minus, left parenthesis, w, minus, 25, right parenthesis, squared, plus, 625

What side width will produce the maximum garden area?

Step-by-step explanation:

We know that the area is determined by

To find the maxium area, we need to calculate the derivative of this function

Then, we make it equal to zero, to find a maxium value

Now, we solve for

But, according to the problem, the perimeter is 100 meters, because the fencing represents a perimeter.

And,

So,

So, the maxium width is 25 meters, the maxium length is 25 meters, and the maxium area is the product of these dimensions

Therefore, the maximum area is 625 square meters.

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)