In math terms, an "image" is the result after a transformation has been applied. One or more transformations can happen here. The original figure is called the "preimage" or "before image" so to speak.

So we go from "preimage" to "image"

preimage ---> image

A maps to A'

B maps to B'

C maps to C'

D maps to D'

6 0

3 years ago

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A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric

wlad13 [49]

Answer:

x = 600 m

y = 1200 m

Amax = 720000 m²

Step-by-step explanation:

Let call x the smaller side of the rectangular plot and y the largest ( we assume we have one y side bounded by a river: Then

A(p) Area of the plot x*y

A(p) = x*y

And perimeter of the plot ( to be fenced ) is:

P(p) = 2*x + y = 2400 ⇒ y = 2400 - 2*x

Area of rectangular plot as function of x:

A(x) = x * ( 2400 - 2x )

Taking derivatives on both sides of the equation

A´(x) = ( 2400 - 2x ) + (-2) *x ⇒ A´(x) = ( 2400 - 2x ) - 2x

A´(x) = 0 ⇒ 2400 - 4x = 0 ⇒ 4x = 2400

x = 600 m

And y = 2400 - 2*x

y = 2400 - 1200

y = 1200 m

And the largest enclosed area is Amax = 1200*600

Amax = 720000 m²

4 0

3 years ago