Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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A farmer wishes to build a divided pasture adjacent to the river, as shown in the diagram.  

Express the total area of the pasture as a function of x if 1000 feet of fencing is available for construction.

The image depicts a scenario involving a river and three sets of animals. The top part of the image shows the surface of a river with the word "River" in bold, yellow text.

Below the river, there are three groups of animals, each enclosed in their own separate box:

1. **First Box**: Contains two lambs.
2. **Second Box**: Contains two chickens.
3. **Third Box**: Contains two pigs.

Between the first and second boxes, there is a multiplication symbol ("x"), indicating a relationship or arrangement involving these animal groups across the river. The graphical setup might represent a classic problem-solving scenario or illustrate a concept involving grouping or combinations in an educational context.
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Transcribed Image Text:The image depicts a scenario involving a river and three sets of animals. The top part of the image shows the surface of a river with the word "River" in bold, yellow text. Below the river, there are three groups of animals, each enclosed in their own separate box: 1. **First Box**: Contains two lambs. 2. **Second Box**: Contains two chickens. 3. **Third Box**: Contains two pigs. Between the first and second boxes, there is a multiplication symbol ("x"), indicating a relationship or arrangement involving these animal groups across the river. The graphical setup might represent a classic problem-solving scenario or illustrate a concept involving grouping or combinations in an educational context.
The image displays a multiple-choice question with four options for the function \( A(x) \).

1. \( A(x) = -2x^2 + 1000x \)
2. \( A(x) = 4x^2 - 2000x \) (highlighted as the selected option)
3. \( A(x) = -4x^2 + 1000x \)
4. \( A(x) = -16x^2 + 4000x \)

Each option represents a quadratic function of \( x \). The highlighted option indicates a selection, possibly the answer being considered or the correct answer for the given context.
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Transcribed Image Text:The image displays a multiple-choice question with four options for the function \( A(x) \). 1. \( A(x) = -2x^2 + 1000x \) 2. \( A(x) = 4x^2 - 2000x \) (highlighted as the selected option) 3. \( A(x) = -4x^2 + 1000x \) 4. \( A(x) = -16x^2 + 4000x \) Each option represents a quadratic function of \( x \). The highlighted option indicates a selection, possibly the answer being considered or the correct answer for the given context.
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