Applications of Differentiation Chapter 3 244 88. Maximu circular c 79. Finding Numbers Find two positive numbers such that the sum of twice the first number and three times the second number is 216 and the product is a maximum. A Using Ne Newton's M 80. Minimum Distance Find the point on the graph of f(x) = Vx that is closest to the point (6, 0). Continue t differ by le utility and X 81. Maximum Area A rancher has 400 feet of fencing with which to enclose two adjacent rectangular corrals (see figure). What dimensions should be used so that the enclosed area will be a maximum? 89. f(x) 90. f(x) 91. f(x 92. f(x Points Newton indicat the ite than 82. Maximum Area Find the dimensions of the rectangle of maximum area, with sides parallel to the coordinate axes, that can be inscribed in the ellipse given by 93. + 16 1. 144 83. Minimum Length A righr ttengit in R Dr gin has the coordinate axes as sides, and We Ae through the point (1, 8). Find the vertices of the nargie such that the length of the hypotenuse is minimum. 84. Minim

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Applications of Differentiation
Chapter 3
244
88. Maximu
circular c
79. Finding Numbers Find two positive numbers such that
the sum of twice the first number and three times the second
number is 216 and the product is a maximum.
A Using Ne
Newton's M
80. Minimum Distance Find the point on the graph of
f(x) = Vx that is closest to the point (6, 0).
Continue t
differ by le
utility and
X
81. Maximum Area A rancher has 400 feet of fencing with
which to enclose two adjacent rectangular corrals (see figure).
What dimensions should be used so that the enclosed area will
be a maximum?
89. f(x)
90. f(x)
91. f(x
92. f(x
Points
Newton
indicat
the ite
than
82. Maximum Area Find the dimensions of the rectangle of
maximum area, with sides parallel to the coordinate axes, that
can be inscribed in the ellipse given by
93.
+
16
1.
144
83. Minimum Length A righr ttengit in R Dr gin
has the coordinate axes as sides, and We Ae
through the point (1, 8). Find the vertices of the nargie such
that the length of the hypotenuse is minimum.
84. Minim
Transcribed Image Text:Applications of Differentiation Chapter 3 244 88. Maximu circular c 79. Finding Numbers Find two positive numbers such that the sum of twice the first number and three times the second number is 216 and the product is a maximum. A Using Ne Newton's M 80. Minimum Distance Find the point on the graph of f(x) = Vx that is closest to the point (6, 0). Continue t differ by le utility and X 81. Maximum Area A rancher has 400 feet of fencing with which to enclose two adjacent rectangular corrals (see figure). What dimensions should be used so that the enclosed area will be a maximum? 89. f(x) 90. f(x) 91. f(x 92. f(x Points Newton indicat the ite than 82. Maximum Area Find the dimensions of the rectangle of maximum area, with sides parallel to the coordinate axes, that can be inscribed in the ellipse given by 93. + 16 1. 144 83. Minimum Length A righr ttengit in R Dr gin has the coordinate axes as sides, and We Ae through the point (1, 8). Find the vertices of the nargie such that the length of the hypotenuse is minimum. 84. Minim
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