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Chapter 4: Q. 11 (page 224)

If a rational function is proper, then______ is a horizontal

asymptote.

Short Answer

Expert verified

If a rational function is proper, then y=0is a horizontal

asymptote.

Step by step solution

01

Step 1. Given information

The given statement is "

If a rational function is proper, then______ is a horizontal

asymptote."

02

Step 2. Fill in the blank

We know that for proper rational function the degree of the numerator is less than the degree of the denominator and the horizontal asymptote of the proper function is y=0.

So,

If a rational function is proper, theny=0 is a horizontal

asymptote.

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A rectangular area adjacent to a river is to be fenced in; no fence is needed on the river side. The enclosed area is to be 1000square feet. Fencing for the side parallel to the river is \(5per linear foot, and fencing for the other two sides is \)8per linear foot; the four corner posts are $25apiece. Let x be the length of one of the sides perpendicular to the river.

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