Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 49, Problem 14AR
To determine
(a)
Solve for b when a =8.053 and c=10.096
To determine
(b)
Solve for V in the expression 
To determine
(c)
Solve for W in the expression 
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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 49 Solutions
Mathematics For Machine Technology
Ch. 49 - Prob. 1ARCh. 49 - a. Twice M minus the square of P. b. The sum of A...Ch. 49 - Prob. 3ARCh. 49 - Prob. 4ARCh. 49 - Prob. 5ARCh. 49 - Prob. 6ARCh. 49 - Prob. 7ARCh. 49 - Prob. 8ARCh. 49 - Prob. 9ARCh. 49 - In Exercises 9 and 10, solve for the unknown in...
Ch. 49 - In Exercises 11 and 12, solve for the unknown and...Ch. 49 - In Exercises 11 and 12, solve for the unknown and...Ch. 49 - Prob. 13ARCh. 49 - Prob. 14ARCh. 49 - Prob. 15ARCh. 49 - Prob. 16ARCh. 49 - Prob. 17ARCh. 49 - Prob. 18ARCh. 49 - Prob. 19ARCh. 49 - Prob. 20ARCh. 49 - Prob. 21ARCh. 49 - Prob. 22AR
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