Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 38, Problem 13AR
To determine
(a)
Read the measurement of fractional rule marked as a.
To determine
(b)
Read the measurement of fractional rule marked as b.
To determine
(c)
Read the measurement of fractional rule marked as c.
To determine
(d)
Read the measurement of fractional rule marked as d.
To determine
(e)
Read the measurement of fractional rule marked as e.
To determine
(f)
Read the measurement of fractional rule marked as f.
To determine
(g)
Read the measurement of fractional rule marked as g.
To determine
(h)
Read the measurement of fractional rule marked as h.
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1) Answer the following questions by circling TRUE or FALSE (No explanation or
work required).
i) If A
=
[1
-2
1]
0 1
6, rank(A) = 3. (TRUE FALSE)
LO
0
0]
ii) If S = {1,x,x², x³} is a basis for P3, dim(P3) = 4 with the standard operations.
(TRUE FALSE)
iii) Let u = (1,1) and v = (1,-1) be two vectors in R². They are orthogonal according
to the following inner product on R²: (u, v) = U₁V₁ + 2U2V2. ( TRUE FALSE)
iv) A set S of vectors in an inner product space V is orthogonal when every pair of
vectors in S is orthogonal. (TRUE FALSE)
v) Dot product of two perpendicular vectors is zero. (TRUE FALSE)
vi) Cross product of two perpendicular vectors is zero. (TRUE FALSE)
2) a) i) Determine which function(s) are solutions of the following linear differential
equation.
-
y (4) — 16y= 0
•
3 cos x
•
3 cos 2x
-2x
•
e
• 3e2x-4 sin 2x
ii) Find the Wronskian for the set of functions that you found from i) as the solution
of the differential equation above.
iii) What does the result…
please help
1. Give a subset that satisfies all the
following properties simultaneously:
Subspace
Convex set
Affine set
Balanced set
Symmetric set
Hyperspace
Hyperplane
2. Give a subset that satisfies some of
the conditions mentioned in (1) but not
all, with examples.
3. Provide a mathematical example
(not just an explanation) of the union of
two balanced sets that is not balanced.
4. What is the precise mathematical
condition for the union of two
hyperspaces to also be a hyperspace?
Provide a proof.
edited 9:11
Chapter 38 Solutions
Mathematics For Machine Technology
Ch. 38 - Prob. 1ARCh. 38 - Holes are to be drilled in the length of angle...Ch. 38 - Prob. 3ARCh. 38 - Prob. 4ARCh. 38 - For each of the exercises in the following table,...Ch. 38 - Prob. 6ARCh. 38 - Prob. 7ARCh. 38 - Prob. 8ARCh. 38 - The following problems require computations with...Ch. 38 - Prob. 10AR
Ch. 38 - Read measurements a-h on the enlarged 32nds and...Ch. 38 - Prob. 12ARCh. 38 - Prob. 13ARCh. 38 - Read measurements i-p on the enlarged 50ths and...Ch. 38 - Prob. 15ARCh. 38 - Prob. 16ARCh. 38 - Read the vernier caliper and height gage...Ch. 38 - Prob. 18ARCh. 38 - Prob. 19ARCh. 38 - Prob. 20ARCh. 38 - Prob. 21AR
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