
Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Textbook Question
Chapter 42, Problem 1A
Write the expression "A number divided by 7 plus twice the number equals 75" as an equation with the unknown as x.
Expert Solution & Answer

To determine
To convert:
The given word statement in the form of a numerical equation.
Answer to Problem 1A
Explanation of Solution
Given:
A number divided by 7 plus twice the number equals 75.
Let 'x' be the unknown number then the equation is written as:
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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° =
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9
X=-x(x²+ y²)
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have the same lin car part at (0,0) but they are topologically
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Chapter 42 Solutions
Mathematics for Machine Technology
Ch. 42 - Write the expression "A number divided by 7 plus...Ch. 42 - Use scientific notation to solve (6.325 108)(9.4...Ch. 42 - Prob. 3ACh. 42 - If a=7.5 and b=9.45 , what is the value of a+4bb2a...Ch. 42 - Prob. 5ACh. 42 - Prob. 6ACh. 42 - Prob. 7ACh. 42 - Prob. 8ACh. 42 - Prob. 9ACh. 42 - Solve each of the following equations using the...
Ch. 42 - Prob. 11ACh. 42 - Solve each of the following equations using the...Ch. 42 - Prob. 13ACh. 42 - Prob. 14ACh. 42 - Prob. 15ACh. 42 - Prob. 16ACh. 42 - Prob. 17ACh. 42 - Prob. 18ACh. 42 - Prob. 19ACh. 42 - Prob. 20ACh. 42 - Prob. 21ACh. 42 - Prob. 22ACh. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Prob. 26ACh. 42 - Prob. 27ACh. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Write an equation for each of the following...Ch. 42 - Write an equation for each of the following...Ch. 42 - Prob. 33ACh. 42 - Write an equation for each of the following...Ch. 42 - Write an equation for each of the following...Ch. 42 - Write an equation for each of the following...Ch. 42 - Prob. 37ACh. 42 - Prob. 38ACh. 42 - Prob. 39ACh. 42 - A Shaft rotates in a bearing that is 0.3968 inch...Ch. 42 - For each of the following problems, substitute the...Ch. 42 - For each of the following problems, substitute the...Ch. 42 - Prob. 43ACh. 42 - For each of the following problems, substitute the...Ch. 42 - Prob. 45ACh. 42 - Prob. 46ACh. 42 - Prob. 47ACh. 42 - Prob. 48ACh. 42 - Prob. 49ACh. 42 - Prob. 50ACh. 42 - Prob. 51ACh. 42 - Solve each of the following equations using the...Ch. 42 - Prob. 53ACh. 42 - Prob. 54ACh. 42 - Prob. 55ACh. 42 - Prob. 56ACh. 42 - Prob. 57ACh. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Prob. 60ACh. 42 - Prob. 61ACh. 42 - Solve each of the following equations using the...Ch. 42 - Prob. 63ACh. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Prob. 66ACh. 42 - Solve each of the following equations using the...Ch. 42 - Prob. 68ACh. 42 - Prob. 69ACh. 42 - Prob. 70ACh. 42 - Prob. 71ACh. 42 - Prob. 72ACh. 42 - Prob. 73ACh. 42 - Prob. 74ACh. 42 - Prob. 75ACh. 42 - For each of the following problems, substitute the...Ch. 42 - Prob. 77ACh. 42 - Prob. 78ACh. 42 - Prob. 79ACh. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Solve each of the following equations using the...Ch. 42 - Write an equation for each of the following...Ch. 42 - Write an equation for each of the following...Ch. 42 - Write an equation for each of the following...Ch. 42 - The feed of a drill is the depth of material that...Ch. 42 - Prob. 109ACh. 42 - For each of the following problems, substitute the...Ch. 42 - For each of the following problems, substitute the...Ch. 42 - For each of the following problems, substitute the...Ch. 42 - Solve each of the following equations using either...Ch. 42 - Solve each of the following equations using either...Ch. 42 - Solve each of the following equations using either...Ch. 42 - Solve each of the following equations using either...Ch. 42 - Solve each of the following equations using either...Ch. 42 - Prob. 118ACh. 42 - Prob. 119ACh. 42 - Prob. 120ACh. 42 - Prob. 121ACh. 42 - Prob. 122ACh. 42 - Prob. 123ACh. 42 - Prob. 124ACh. 42 - Solve each of the following equations using either...Ch. 42 - Prob. 126ACh. 42 - Solve each of the following equations using either...Ch. 42 - Prob. 128ACh. 42 - Prob. 129ACh. 42 - Prob. 130A
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