Let S = {A, B, C, D, E, F, G, H, I, J} be the set...
Let S = {A, B, C, D, E, F, G, H, I, J} be the set consisting of
the following elements:
A = N, B = 2N , C = 2P(N) , D = [0, 1), E = ∅, F = Z × Z, G = {x
∈ N|x 2 + x < 2}, H = { 2 n 3 k |n, k ∈ N}, I = R \ Q, J =
R.
Consider the relation ∼ on S given...
Given that, for some a, b, c, d, e, f, g, h, i ∈ R, [a...
Given that, for some a, b, c, d, e, f, g, h, i ∈ R, [a b c d e f
g h i ] = 5, evaluate the following determinants:
(c) [ka ld mg
kb le mh
kc lf mi] Here, k, l, and m are non-negative constants.
Product A is made from components B and C. Item B, in turn, is
made from...
Product A is made from components B and C. Item B, in turn, is
made from D and E. Item C also is an intermediate item, made from
F and H. Finally, intermediate item E is made from H and G. Note
that item H has two parents. The following are item lead
times:
Item
A
B
C
D
E
F
G
H
Lead Time (weeks)
1
1
2
2
6
4
4
6
a. What lead time (in weeks)...
Thermodynamics: Consider the equilibrium reaction A(g) + B(g)
-><- C(g)+D(g). At T=298 K, the standard enthalpies...
Thermodynamics: Consider the equilibrium reaction A(g) + B(g)
-><- C(g)+D(g). At T=298 K, the standard enthalpies of
formation of the components in the gas phase are -20, -40, -30, and
-10 kJ/mol for A,B,C, and D, respectively. The standard-state
entropies of the components in the gas phase are 30, 50, 50, and 80
J/(mol K), in the same order. The vapor pressure of liquid C at
this temperature is 0.1 bar, while all other components are
volatile gases with Henry's...
Consider permutations of the 26-character lowercase alphabet
Σ={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}.
In how many of these permutations do
a,b,c...
Consider permutations of the 26-character lowercase alphabet
Σ={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}.
In how many of these permutations do
a,b,c occur consecutively and in that
order?
In how many of these permutations does a appear before
b and b appear before c?
(6) A small population {a,b,c,d,e,f,g,h,i} consists of three
strata, namely {a,b,c}, {d,e,f} and {g,h,i}. Provide a...
(6) A small population {a,b,c,d,e,f,g,h,i} consists of three
strata, namely {a,b,c}, {d,e,f} and {g,h,i}. Provide a method that
will draw a stratified random sample of size 3.
The following ``answers'' have been proposed.
(a) Take your sample to be a,d,g, i.e., the first element of each
stratum.
(b) Take a three sided fair die (such as a standard die with two
faces labeled one, another two faces labeled two, and the last two
faces labeled three). Roll this die and...
9. Let S = {a,b,c,d,e,f,g,h,i,j}.
a. is {{a}, {b, c}, {e, g}, {h, i, j}} a...
9. Let S = {a,b,c,d,e,f,g,h,i,j}.
a. is {{a}, {b, c}, {e, g}, {h, i, j}} a partition of S?
Explain.
b. is {{a, b}, {c, d}, {e, f}, {g, h}, {h, i, j}} a partition
of S? Explain. c. is {{a, b}, {c, d}, {e, f}, {g, h}, {i, j}} a
partition of S? Explain.
2. Let A = {p, q, r, s}, B = {k, l, m, n}, and C...
2. Let A = {p, q, r, s}, B = {k, l, m, n}, and C = {u, v, w},
Define f : A→B by f(p) = m, f(q) = k, f(r) = l, and f(s) = n, and
define g : B→C by g(k) = v, g(l) = w, g(m) = u, and g(n) = w. Also
define h : A→C by h = g ◦ f. (a) Write out the values of h. (b) Why
is it that...
The following table lists the components needed to assemble an
end item, lead times (in weeks),...
The following table lists the components needed to assemble an
end item, lead times (in weeks), and quantities on hand.
Item
Lead Time
Amount
on Hand
Direct
Components
End
2
0
L(2), C(1),
K(3)
L
2
8
B(2),
J(3)
C
3
12
G(2),
B(2)
K
3
17
H(4),
B(2)
B
2
32
J
3
27
G
3
5
H
3
0
a. If 43 units of the end item are to be
assembled, how many additional units of B are...