Question 2 Figure Q2 shows a rectangular enclosure formed by a straight wall AB and a fence CDEF of length 10m. The width of the enclosure (i.e., EF) is x m. Arww D E Figure Q2. A rectangular enclosure (a) Find the value of x which maximises the area of the enclosure. (b) Find the maximum possible area of the enclosure. Hint: Use the second derivative to test for the local maximum.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter11: Introduction To Trigonometry
Section11.4: Applications With Acute Triangles
Problem 45E
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Question 2
Figure Q2 shows a rectangular enclosure formed by a straight wall AB and a fence
CDEF of length 10m. The width of the enclosure (i.e., EF) is x m.
C
Ar
B
E
Figure Q2. A rectangular enclosure
(a) Find the value of x which maximises the area of the enclosure.
(b) Find the maximum possible area of the enclosure. Hint: Use the second
derivative to test for the local maximum.
Transcribed Image Text:Question 2 Figure Q2 shows a rectangular enclosure formed by a straight wall AB and a fence CDEF of length 10m. The width of the enclosure (i.e., EF) is x m. C Ar B E Figure Q2. A rectangular enclosure (a) Find the value of x which maximises the area of the enclosure. (b) Find the maximum possible area of the enclosure. Hint: Use the second derivative to test for the local maximum.
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