You want to form a rectangular pen of area a = 120 square feet. (See the figure below.) One side of the pen is to be formed by an existing building and the other three sides by a fence. If w is the length, in feet, of the sides of the rectangle perpendicular to the building, then the length of the side parallel to the building is 120/w, so the total amount F= F(w), in feet, of fence required is the rational function 120 F = 2w - (a) Make a graph of Fversus w. 100 14 (b) Explain in practical terms the behavior of the graph near the pole at w = 0. The amount of fence required gets larger and larger v as the width gets smaller and smaller. (c) Determine the dimensions of the rectangle that requires a minimum amount of fence. (Round your answers to two decimal places.) width 30 length x ft x ft 1800
You want to form a rectangular pen of area a = 120 square feet. (See the figure below.) One side of the pen is to be formed by an existing building and the other three sides by a fence. If w is the length, in feet, of the sides of the rectangle perpendicular to the building, then the length of the side parallel to the building is 120/w, so the total amount F= F(w), in feet, of fence required is the rational function 120 F = 2w - (a) Make a graph of Fversus w. 100 14 (b) Explain in practical terms the behavior of the graph near the pole at w = 0. The amount of fence required gets larger and larger v as the width gets smaller and smaller. (c) Determine the dimensions of the rectangle that requires a minimum amount of fence. (Round your answers to two decimal places.) width 30 length x ft x ft 1800
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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