Question

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 some x ∈ A has h(x) = u? Explain in terms of f and g.

Answer #1

A sample space is S = {m, n, q, r, s}. Identify two events as U
= {m, q, s} and V = {n, q, r} . The probabilities of some of the
outcomes are given by the following table:
Outcome
m
n
q
r
s
Probability
0.18
0.16
?
0.24
0.21
a. Determine what P (q) must be.
b. Find P (U) .
c. Find P (V)
(2) After creating the sample space for tossing three
coins, please answer the...

10.-Construct a connected bipartite graph that is not a tree
with vertices Q,R,S,T,U,V,W.
What is the edge set?
Construct a bipartite graph with vertices Q,R,S,T,U,V,W such
that the degree of S is 4.
What is the edge set?
12.-Construct a simple graph with vertices F,G,H,I,J that has an
Euler trail, the degree of F is 1 and the degree of G is 3.
What is the edge set?
13.-Construct a simple graph with vertices L,M,N,O,P,Q that has
an Euler circuit...

Read the following cases and decide the right
supplement for each case. Highlight the supplement name by finding
the word from the given box. Follow the given
example:
Example: Naif
has an infection. He needs an antibiotic
Maryam cannot digest milk. She needs to have ___lactase______
supplements
Majid is overweight. He decided to buy _________ supplements to
help him lose weight.
Muntaha’s nails always breaks so easily. She wants to get
_________ supplements.
Munther face looks older than his age....

A function f”R n × R m → R is bilinear if for all x, y ∈ R n and
all w, z ∈ R m, and all a ∈ R: • f(x + ay, z) = f(x, z) + af(y, z)
• f(x, w + az) = f(x, w) + af(x, z) (a) Prove that if f is
bilinear, then (0.1) lim (h,k)→(0,0) |f(h, k)| |(h, k)| = 0. (b)
Prove that Df(a, b) · (h, k) = f(a,...

Perfect competition in Q and L(Short Run), if P=200,
Q=2L^(0.5)k^(0.25), w=10, r=10;
Find values of Q,L and K.

. 1
a) Calculate the corresponding cost
function, c(w,r,q).
·q=(min(L,3K)).5
·q=L-1/K
b) Draw a representative isoquant for
q=12
·Q=min(2L,(2(L+K))/3,2K)

Match the statement to the correct answer. (Some reagents can be
used more than once.) The flowchart along with the report sheets in
experiment 5 should be very helpful.
A
6M Nitric Acid (HNO3)
B
Colbalt Nitrate (Co(NO3)2)
C
Disodium EDTA (Na2EDTA)
D
Aluminum Nitrate (Al(NO3)3)
E
Zinc Nitrate (Zn(NO3)2
F
Barium Nitrate (Ba(NO3)2)
G
6M Hydrochloric Acid (HCl)
H
OH-, CO32-, and
PO43-
I
Lead chloride (PbCl2(s))
J
0.1M sodium carbonate (Na2CO3)
K
NH4+(aq) and OH-(aq)
L
Silver chloride...

1. A firm production function is given by q(l,k) =
l0.5·k0.5, where q is number of units of
output produced, l the number of units of labor input used and k
the number of units of capital input used. This firm profit
function is π = p·q(l,k) – w·l – v·k, where p is the price of
output, w the wage rate of labor and v the rental rate of capital.
In the short-run, k = 100. This firm hires...

1. Let A ⊆ R and p ∈ R. We say that A is bounded away from p if
there is some c ∈ R+ such that |x − p| ≥ c for all x ∈ A. Prove
that A is bounded away from p if and only if p not equal to A and
the set n { 1 / |x−p| : x ∈ A} is bounded.
2. (a) Let n ∈ natural number(N) , and suppose that k...

A student would like to assess whether the mean amount of money
spent on books during the 2016-2017 school year is equal for all
students in each of the four class ranks at California University
(1: Freshmen, 2: Sophomores, 3: Juniors, 4: Seniors). To conduct
this study, the student took a large random sample of students at
California University and recorded for each student the total
amount of money spent on books during the 2016-2017 school year and
the class...

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