Let A = {0, 3, 6, 9, 12}, B = {−2, 0, 2, 4, 6, 8,...
Let A = {0, 3, 6, 9, 12}, B = {−2, 0, 2, 4, 6, 8, 10, 12}, and C
= {4, 5, 6, 7, 8, 9, 10}.
Determine the following sets:
i. (A ∩ B) − C
ii. (A − B) ⋃ (B − C)
1. Let S = {a, b, c}. Find a set T such that S ∈ T...
1. Let S = {a, b, c}. Find a set T such that S ∈ T and S ⊂
T.
2. Let A = {1, 2, ..., 10}. Give an example of two sets S and B
such that S ⊂ P(A), |S| = 4, B ∈ S and |B| = 2.
3. Let U = {1, 2, 3} be the universal set and let A = {1, 2}, B
= {2, 3} and C = {1, 3}. Determine the...
let the universal set be U = {1, 2, 3, 4, 5, 6, 7, 8, 9}...
let the universal set be U = {1, 2, 3, 4, 5, 6, 7, 8, 9} with A
= {1, 2, 3, 5, 7} and B = {3, 4, 6, 7, 8, 9}
a.)Find (A ∩ B) C ∪ B
b.) Find Ac ∪ B.
Let p = (8, 10, 3, 11, 4, 0, 5, 1, 6, 2, 7, 9) and...
Let p = (8, 10, 3, 11, 4, 0, 5, 1, 6, 2, 7, 9) and let q = (2,
4, 9, 5, 10, 6, 11, 7, 0, 8, 1, 3) be tone rows. Verify that p =
Tk(R(I(q))) for some k, and find this value of k.
Let S = { 1 , 2 , 3 , ... , 18 , 19 ,...
Let S = { 1 , 2 , 3 , ... , 18 , 19 , 20 }
S = { 1 , 2 , 3 , ... , 18 , 19 , 20 } be the universal set. Let
sets A and B be subsets of S , where: Set A = { 4 , 6 , 10 , 11 ,
12 , 15 , 16 , 18 , 19 , 20 }
Set B = { 1 ,...
Given the following unordered array:
[0]
[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]...
Given the following unordered array:
[0]
[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
W
X
D
T
P
N
R
Q
K
M
E
If the array was being sorted using
the SHELL sort and the halving
method,
and sorting into ASCENDING
order as demonstrated in the course content,
list the letters in the resulting
array, in order AFTER the FIRST pass.
[0]
[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
Let
U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
A = {5,...
Let
U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
A = {5, 7, 9, 11, 13},
B = {6, 8, 10, 12, 14},
and
C = {5, 6, 8, 9, 12, 13}.
List the elements of each set. (Enter your answers using roster
notation. Enter EMPTY or ∅ for the empty set.)
(a) Ac ∩ (B
∩ C c)
(b) (A ∪ Bc) ∪
(B ∩ C c)
(c) (A ∪
B)c ∩
C c
let f(0)=1, f'(0)=-1, F(s) = L{f(t)}(s), F''(s) = -9s/(s^2+9).
find f(t)
let f(0)=1, f'(0)=-1, F(s) = L{f(t)}(s), F''(s) = -9s/(s^2+9).
find f(t)
1. Let T = {(1, 2), (1, 3), (2, 5), (3, 6), (4, 7)}. T :...
1. Let T = {(1, 2), (1, 3), (2, 5), (3, 6), (4, 7)}. T : X ->
Y. X = {1, 2, 3, 4}, Y = {1, 2, 3, 4, 5, 6, 7}
a) Explain why T is or is not a function.
b) What is the domain of T?
c) What is the range of T?
d) Explain why T is or is not one-to one?
4. Let set U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,...
4. Let set U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,
14, 15, 16, 17, 18, 19, 20}
set A = numbers in U that divide into 12 with no remainder,
set B = numbers in U that divide into 16 with no remainder, and set
C = the numbers in U that divide into 20 with no remainder.
a. Made a Venn diagram showing the elements of the sets U, A,...