The owner of the Rancho Grande has 2992 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? Let y be the length (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. x = Correct: Your answer is correct. yd (Round your answer to two decimal places, if necessary.) Complete the following parts. (a) Give a function f in the variable x for the quantity to be optimized. f(x) = 2992 4​Incorrect: Your answer is incorrect. (b) State the domain of this function. (Enter your answer using interval notation.) [0,2992] Incorrect: Your answer is incorrect. (c) Give the formula for y in terms of x. y = 2992−2x Correct: Your answer is correct.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in....
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The owner of the Rancho Grande has 2992 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? Let y be the length (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. x = Correct: Your answer is correct. yd (Round your answer to two decimal places, if necessary.) Complete the following parts. (a) Give a function f in the variable x for the quantity to be optimized. f(x) = 2992 4​ Incorrect: Your answer is incorrect. (b) State the domain of this function. (Enter your answer using interval notation.) [0,2992] Incorrect: Your answer is incorrect. (c) Give the formula for y in terms of x. y = 2992−2x Correct: Your answer is correct.
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