Answered

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can you guys help please im so confused

Can You Guys Help Please Im So Confused class=

Sagot :

tonb

Answer:

a) see below

b) 40x20 meters

Step-by-step explanation:

Write down what you know:

- The area of the enclosure is length*width, so

[tex]A = x \cdot y[/tex]

- The length of the fencing is 80 meters, so

[tex]2y + x = 80[/tex]

Now we have to combine these two equations above, and get rid of y in the process.

First rewrite the second as:

[tex]y = 40 - \frac12 x[/tex]

Then substitute for y in the first:

[tex]A = x (40 - \frac12 x) = 40x - \frac12x^2[/tex]

b) To maximize A, find the zero of the first derivative:

[tex]A'(x) = 40 - x = 0 \implies x=40[/tex]

So y = (80-40)/2 = 20 meters.

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