EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
Author: SMITH
Publisher: YUZU
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Chapter 24, Problem 8A
To determine
(a)
To convert unit of given length as indicated.
To determine
(b)
To convert unit of given length as indicated.
To determine
(c)
To convert unit of given length as indicated.
To determine
(d)
To convert unit of given length as indicated.
To determine
(e)
To convert unit of given length as indicated.
To determine
(f)
To convert unit of given length as indicated.
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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 24 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 24 - Prob. 1ACh. 24 - 6 is 82% of what number? If necessary, round the...Ch. 24 - Of two gears that mesh, the one with the greater...Ch. 24 - Compute 16.0025+82.312.419.354.62 . Round the...Ch. 24 - The volume V of a cone with height h and diameter...Ch. 24 - Add 432.78 + 43.278 + 4.3278.Ch. 24 - Prob. 7ACh. 24 - Prob. 8ACh. 24 - Prob. 9ACh. 24 - A 312 inch diameter milling cutter revolving at...
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