Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 1, Problem 9A
To determine
(a)
To express an improper fraction as a mixed number.
To determine
(b)
To express an improper fraction as a mixed number.
To determine
(c)
To express an improper fraction as a mixed number.
To determine
(d)
To express an improper fraction as a mixed number.
To determine
(e)
To express an improper fraction as a mixed number.
To determine
(f)
To express an improper fraction as a mixed number.
To determine
(g)
To express an improper fraction as a mixed number.
To determine
(h)
To express an improper fraction as a mixed number.
To determine
(i)
To express an improper fraction as a mixed number.
To determine
(j)
To express an improper fraction as a mixed number.
To determine
(k)
To express an improper fraction as a mixed number.
To determine
(l)
To express an improper fraction as a mixed number.
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Students have asked these similar questions
4. Consider Chebychev's equation
(1 - x²)y" - xy + λy = 0
with boundary conditions y(-1) = 0 and y(1) = 0, where X is a constant.
(a) Show that Chebychev's equation can be expressed in Sturm-Liouville form
d
· (py') + qy + Ary = 0,
dx
y(1) = 0, y(-1) = 0,
where p(x) = (1 = x²) 1/2, q(x) = 0 and r(x) = (1 − x²)-1/2
(b) Show that the eigenfunctions of the Sturm-Liouville equation are extremals of the
functional A[y], where
A[y]
=
I[y]
J[y]'
and I[y] and [y] are defined by
-
I [y] = √, (my² — qy²) dx
and
J[y] = [[", ry² dx.
Explain briefly how to use this to obtain estimates of the smallest eigenvalue >1.
1
(c) Let k > be a parameter. Explain why the functions y(x) = (1-x²) are suitable
4
trial functions for estimating the smallest eigenvalue. Show that the value of A[y]
for these trial functions is
4k2
A[y] =
=
4k - 1'
and use this to estimate the smallest eigenvalue \1.
Hint:
L₁ x²(1 − ²)³¹ dr =
1
(1 - x²)³ dx
(ẞ > 0).
2ẞ
You recieve a case of fresh Michigan cherries that weighs 8.2 kg. You will be making cherry pies. Each pie will require 1 3/4 pounds of pitted cherries. How many pies can be made from the case if the yield percent for cherries is 87
Q/ show that the system:
x = Y + x(x² + y²)
y° =
=x+y (x² + y²)
9
X=-x(x²+ y²)
9 X
Y° = x - y (x² + y²)
have the same lin car part at (0,0) but they are topologically
different. Give the reason.
Chapter 1 Solutions
Mathematics for Machine Technology
Ch. 1 - Write the fractional part that each length, A...Ch. 1 - A welded support base is cut into four pieces as...Ch. 1 - Prob. 3ACh. 1 - Reduce to halves. a. 48 b. 918 c. 100200 d. 121242...Ch. 1 - Prob. 5ACh. 1 - Express as thirty-seconds. a. 14 b. 34 c. 118 d....Ch. 1 - Express as equivalent fractions as indicated. a....Ch. 1 - Prob. 8ACh. 1 - Prob. 9ACh. 1 - Express the following mixed numbers as improper...
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