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Asked Nov 12, 2019
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95

maximume
New
Continue th
differ by less than 0.
utility and compare the results.
point on the graph
int (6, 0)
400 feet of fencing with
gular corrals (see figure).
hat the enclosed area will
89 fx)= 3r
90. fx) = r+ 2r+1
91. fx) = x+ + -3r + 2
x) = 3 r = T-
Plo
(a) Determi
relative
for various v
In Exercises 93 and 94, apply
(b) Determ
relative
Newton's Method to approximate the x-value(s) of the
the iterations until two successive approximations differ by less
indicated point(s) of intersection of the two graphs. Continue
Points of Intersection
(c) Determ
relative
than 0.001. [Hint: Let hx) = f(x) - g(x).]
94. f(x) = sin x
(d) Show
extrem
93. f(x) = 1 -x
g(x) = x2x+
of the rectangle of
ordinate axes, that
2. Relative
(a) Graph
for a
у
y
f
3
3
the co
maxi
(b) Show
cons
first quadrant
otenuse passes
triangle such
X
(c) Dete
relat
1
2
-2
-17
1
(d) Let
that
Comparing Ay and dy In Exercises 95 and 96, use the
to be braced
eet high and
ortest beam
2
3
information to find and compare Ay and dy.
gra
Cur
Function
x-Value
gest pipe
er at the
eet.
Differential of x
3. Relati
95. y = 4x3
Ax = dx = 0.1
96. y =x - 5x
f (x)
= I3
Ax = dx = 0.01
meets a
h of the
Hint:
Finding a Differential In Exercises 97 and 98, find
differential dy of the given function.
Deterr
minim
4. Poin
97. y x(1-cos x)
98. y =36 - x
Approximating Function Values In Exercises
and 100, use differentials to sproximate the value of th
expression. Compare your ansrer with that of a calculator
(a) L
(b) I
the
99. 63.9
ht
100. (2.02)
(c)
101. Volume and Surface Area The radius of a
s measured as 9 centimeters. with a possible e
help_outline

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maximume New Continue th differ by less than 0. utility and compare the results. point on the graph int (6, 0) 400 feet of fencing with gular corrals (see figure). hat the enclosed area will 89 fx)= 3r 90. fx) = r+ 2r+1 91. fx) = x+ + -3r + 2 x) = 3 r = T- Plo (a) Determi relative for various v In Exercises 93 and 94, apply (b) Determ relative Newton's Method to approximate the x-value(s) of the the iterations until two successive approximations differ by less indicated point(s) of intersection of the two graphs. Continue Points of Intersection (c) Determ relative than 0.001. [Hint: Let hx) = f(x) - g(x).] 94. f(x) = sin x (d) Show extrem 93. f(x) = 1 -x g(x) = x2x+ of the rectangle of ordinate axes, that 2. Relative (a) Graph for a у y f 3 3 the co maxi (b) Show cons first quadrant otenuse passes triangle such X (c) Dete relat 1 2 -2 -17 1 (d) Let that Comparing Ay and dy In Exercises 95 and 96, use the to be braced eet high and ortest beam 2 3 information to find and compare Ay and dy. gra Cur Function x-Value gest pipe er at the eet. Differential of x 3. Relati 95. y = 4x3 Ax = dx = 0.1 96. y =x - 5x f (x) = I3 Ax = dx = 0.01 meets a h of the Hint: Finding a Differential In Exercises 97 and 98, find differential dy of the given function. Deterr minim 4. Poin 97. y x(1-cos x) 98. y =36 - x Approximating Function Values In Exercises and 100, use differentials to sproximate the value of th expression. Compare your ansrer with that of a calculator (a) L (b) I the 99. 63.9 ht 100. (2.02) (c) 101. Volume and Surface Area The radius of a s measured as 9 centimeters. with a possible e

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Expert Answer

Step 1

The function, y, x-value and differential of x is given as follows.

y 4x3
x 2
Ax dx 0.1
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y 4x3 x 2 Ax dx 0.1

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Step 2

The value of delta y denotes the difference in y when it is evaluated at two different points and dy denotes the derivative of y.

Ay=f(x+Ax)-(x)
dy f(x)c
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Ay=f(x+Ax)-(x) dy f(x)c

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Step 3

The value of delta y is comp...

Let y f(x)
Ay f(x+Ar)-(x)
Ay f(2.1)- (2)
Ay 5.044
Ay 5
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Let y f(x) Ay f(x+Ar)-(x) Ay f(2.1)- (2) Ay 5.044 Ay 5

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