Chapter 3 Structures of Metals and Ceramics
Concept Check 3.1 Question: Table 3.4 gives the ionic radii for K+ and O2- as 0.138 and 0.140 nm, respectively. (a) What would be the coordination number for each O2- ion? (b) Briefly describe the resultin
CONCEPT CHECK QUESTIONS AND ANSWERS
Chapter 2 Atomic Structure and Interatomic Bonding
Concept Check 2.1 Question: Why are the atomic weights of the elements generally not integers? Cite two reasons. Answer: The atomic weights of the elements ordin
EXERCISE SET 3.!
12. The characteristic polynomial of A is (a up? at + 2}; thus J. = 1 a the only real eigenvalue of
l 41 - G In ll
of Li A :is 2 and the geometric multiplicity of .l. = 1 is nullityflir A] = 3 2 = 1.
l 2 1 2
A. The reduced row e
CHAPTER 7
Dimension and Structure
EXERCISE SET T21
2. {a} v1 = in {h} V3 = 5v; 5v; [1:] v4 = {1191+ 41m + 8?;
6. {a} Any one of the vectors {1,3}, {2.6L (1,3} forms a basis for the line I = :1 y = at.
{b} Any two of the vectors [1,1,3], {1,12L {2,0,5}
EXERCISE SET 7.?
2. Using Formula is] we have projlx = n = {$192, 5} = (-. $1.
On the other handr since sinti= 3% and oos: , the standard matrix for the projection is
as i a it elm-[e
_E as E
21} H 29
1 o o g
2d. The reduced row echelon from of the ma
CHAPTER 7 INTEGRALS AND TRANSCENDENTAL
FUNCTIONS
7.1 THE I.( )GARITHI'N-l DEFINED AS AN INTEGRAL
du.
s
8. Let u 2 sec x tanx 2:» du 2 [sec x tanx sech] dx 2 (sec x)(tan x sec x)dx 2:» sec xdx =
I secxdx _ . du _ 'J,."2 _ 'J_ _ MB _ _ /__
I m (lnu) u
1 1.7 P( )VVICR SERIES
. _ 1; 111 _
2. lnn U < 1 2:» lnn (x l < 1 5 < 1 6 < X < 4', when X = (3 we have
11 1 oc- Us 11 1 oc- (X1 .1
TX! 7::
z (1), a divergent series; when X = 4 we have 2: 1, a divergent series
not 1171
(a) the radius is 1; the int
1 1.3 THE IN'lIILRAI. TEST
1. converges; a geometric series with r = 110 < l
x.
7::
' . . 2 _ o 1 - - , - _ 3
o. converges, E 1 WE _ _ E l n 3 , which Is a convergent pseries (p E)
\-
.n u = x 1 - 111
16. diverges by the Integia] Test: 11 W; |: d: J
pro. 5 [10 pts]
A [ 3] If you try finding the sol or the inverse matrix of A, but have mistakes in a calculation, then you get [3 pts] [6] ( [5]) If you find exactly the inverse matrix of A [6pts]
original message
Linear Algebra Class Tue 7
Quiz 6
ID:
Name:
1 Indicate whether the statement is true(T) or false(F). Justify your answer.
(a) If A and B are n n matrices with the same row space, then A and B have the same column space. (F) A= 1 0 0 0 , B= 1 1 0
Chapter 13
Types and Applications of Materials
Concept Check 13.1 Question: Briefly explain why ferritic and austenitic stainless steels are not heat
treatable. Hint: you may want to consult the first portion of Section 13.3. Answer: Ferritic and
Chapter 12
Electrical Properties
Concept Check 12.1 Question: If a metallic material is cooled through its melting temperature at an
extremely rapid rate, it will form a noncrystalline solid (i.e., a metallic glass). Will the electrical conductivi
Chapter 17
Thermal Properties
Concept Check 17.1 Question: (a) Explain why a brass lid ring on a glass canning jar will loosen when heated. (b) Suppose the ring is made of tungsten instead of brass. What will be the effect of heating the lid and ja
Chapter 15
Composites
Concept Check 15.1 Question: Cite the general difference in strengthening mechanism between large-particle and dispersion-strengthened particle-reinforced composites. Answer: The major difference in strengthening mechanism bet
Chapter 18
Magnetic Properties
Concept Check 18.1 Question:
Cite the major similarities and differences between ferromagnetic and
ferrimagnetic materials.
Answer: The similarities between ferromagnetic and ferrimagnetic materials are as follows:
Chapter 19
Optical Properties
Concept Check 19.1 Question: Briefly discuss the similarities and differences between photons and phonons. Hint: you may want to consult Section 17.2. Answer: Similarities between photons and phonons are: 1) Both may b
Chapter 16
Corrosion and Degradation of Materials
Concept Check 16.1 Question: Would you expect iron to corrode in water of high purity? Why or why not? Answer: Iron would not corrode in water of high purity because all of the reduction reactions,