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The owner of the Rancho Grande has 2980 yd of fencing with which to enclose a rectangular piece of grazin the straight portion of a river. If fencing is not required along the river (see the figure below), what are the largest area he can enclose? Round your answer to two decimal places, if necessary. Let y be th (in yd) of the side parallel to the straight portion of a river, and x be the length (in yd) c rectangular piece of land. x = 745 yd Complete the following parts. (a) Give a function f in the variable x for the quantity to be optimized. f(x) = x( 2980 – 2x) | x %3D (b) State the domain of this function. (Enter your answer using interval notation.) (0,00) (c) Give the formula for y in terms of x. 1110050

The owner of the Rancho Grande has 2980 yd of fencing with which to enclose a rectangular piece of grazin the straight portion of a river. If fencing is not required along the river (see the figure below), what are the largest area he can enclose? Round your answer to two decimal places, if necessary. Let y be th (in yd) of the side parallel to the straight portion of a river, and x be the length (in yd) c rectangular piece of land. x = 745 yd Complete the following parts. (a) Give a function f in the variable x for the quantity to be optimized. f(x) = x( 2980 – 2x) | x %3D (b) State the domain of this function. (Enter your answer using interval notation.) (0,00) (c) Give the formula for y in terms of x. 1110050

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 45AR
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16 The owner of the Rancho Grande has 2980 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river (see the figure below), what are the dimensions of the largest area he can enclose? Round your answer to two decimal places, if necessary. Let y be th (in yd) of the side parallel to the straight portion of a river, and x be the length (in yd) of the other side of the rectangular piece of land. 745 yd Complete the following parts. (a) Give a function f in the variable x for the quantity to be optimized. f(x) = x( 2980 – 2x) x %3D (b) State the domain of this function. (Enter your answer using interval notation.) calcPad (0,00) Operations Functions (c) Give the formula for y in terms of x. Symbols Relations 00 Sets 1110050 y = Vi 0! Vectors Trig
Transcribed Image Text:16 The owner of the Rancho Grande has 2980 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river (see the figure below), what are the dimensions of the largest area he can enclose? Round your answer to two decimal places, if necessary. Let y be th (in yd) of the side parallel to the straight portion of a river, and x be the length (in yd) of the other side of the rectangular piece of land. 745 yd Complete the following parts. (a) Give a function f in the variable x for the quantity to be optimized. f(x) = x( 2980 – 2x) x %3D (b) State the domain of this function. (Enter your answer using interval notation.) calcPad (0,00) Operations Functions (c) Give the formula for y in terms of x. Symbols Relations 00 Sets 1110050 y = Vi 0! Vectors Trig
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