Question

In: Math

A rancher has 600 feet of fencing to enclose two adjacent rectangular corrals (see figure). (a)...

A rancher has 600 feet of fencing to enclose two adjacent rectangular corrals (see figure).

(a) Write the area A of the corrals as a function of x.

A(x) =

(b) Construct a table showing possible values of and the corresponding areas of the corral. (Round your answers to two decimal places.)

x	A
55
60
65
70
75
80

Use the table to estimate the dimensions that will produce the maximum enclosed area. (Round your answers to two decimal places.)

x = ft

y = ft

(c) Use a graphing utility to graph the area function.

Use the graph to approximate the dimensions that will produce the maximum area. (Round your answers to two decimal places.)

x = ft

y = ft

(d) Write the area A as a function of x in standard form to find analytically the dimensions that will produce the maximum area.

A(x) =

(e) Compare your results from parts (b), (c), and (d).

They are very similar.

They are significantly different.

Expert Solution

milcah answered 2 years ago

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