Excursions in Modern Mathematics, Books a la carte edition (9th Edition)
9th Edition
ISBN: 9780134469041
Author: Peter Tannenbaum
Publisher: PEARSON
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Textbook Question
Chapter 11, Problem 26E
In Fig. 11-57,
a. Find the image of
b. Find the image of the shaded quadrilateral under the translation.
c. Draw a
Fig. 11-57
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Please solve the following Probability and Statistics problem (please double check solution and provide explanation):
A binary communication channel carries data as one of two types of signals denoted by 0 and 1. Owing tonoise, a transmitted 0 is sometimes received as a 1 and a transmitted 1 is sometimes received as a 0. For agiven channel, assume a probability of 0.94 that a transmitted 0 is correctly received as a 0 and a probability0.91 that a transmitted 1 is received as a 1. Further assume a probability of 0.45 of transmitting a 0. If asignal is sent, determine
1. Probability that a 1 is received2. Probability that a 0 is received3. Probability that a 1 was transmitted given that a 1 was received4. Probability that a 0 was transmitted given that a 0 was received5. Probability of an error
1) Compute the inverse of the following matrix.
0
1
1
A =
5
1
-1
2-3
-3
Question 3 (5pt): A chemical reaction. In an elementary chemical reaction,
single molecules of two reactants A and B form a molecule of the product C :
ABC. The law of mass action states that the rate of reaction is proportional
to the product of the concentrations of A and B:
d[C]
dt
= k[A][B]
(where k is a constant positive number). Thus, if the initial concentrations are
[A] =
= a moles/L and [B] = b moles/L we write x = [C], then we have
(E):
dx
dt
=
k(ax)(b-x)
1
(a) Write the differential equation (E) with separate variables, i.e. of the form
f(x)dx = g(t)dt.
(b) Assume first that a b. Show that
1
1
1
1
=
(a - x) (b - x)
-
a) a - x
b - x
b)
(c) Find an antiderivative for the function f(x) = (a-x) (b-x) using the previous
question.
(d) Solve the differentiel equation (E), i.e. find x as a function of t. Use the fact
that the initial concentration of C is 0.
(e) Now assume that a = b. Find x(t) assuming that a = b. How does this
expression for x(t) simplify if it is known that [C] =…
Chapter 11 Solutions
Excursions in Modern Mathematics, Books a la carte edition (9th Edition)
Ch. 11 - In Fig.1135_, indicate which point is the image of...Ch. 11 - Prob. 2ECh. 11 - Prob. 3ECh. 11 - In Fig. 11-38, P is the image of P under a...Ch. 11 - In Fig.11-39, l is the axis of reflection. a.Find...Ch. 11 - In Fig. 11-40, l is the axis of reflection. a....Ch. 11 - Prob. 7ECh. 11 - In Fig 11-42, P is the image of P under a...Ch. 11 - In Fig. 11-43, P is image of P under a reflection....Ch. 11 - Prob. 10E
Ch. 11 - In Fig. 11-45, A and B are fixed points of a...Ch. 11 - Prob. 12ECh. 11 - In Fig. 11-47, indicate which point is a. the...Ch. 11 - Prob. 14ECh. 11 - In each case, give an answer between 0 and 360. 1....Ch. 11 - Prob. 16ECh. 11 - Prob. 17ECh. 11 - Prob. 18ECh. 11 - Prob. 19ECh. 11 - Prob. 20ECh. 11 - Prob. 21ECh. 11 - Prob. 22ECh. 11 - In Fig. 11-54, indicate which point is the image...Ch. 11 - Prob. 24ECh. 11 - Prob. 25ECh. 11 - In Fig. 11-57, Q is the image of Q under a...Ch. 11 - In Fig. 11-58, D is the image of D under a...Ch. 11 - Prob. 28ECh. 11 - Prob. 29ECh. 11 - Prob. 30ECh. 11 - Prob. 31ECh. 11 - In Fig 11-63, P is the image of P under a glide...Ch. 11 - In Fig.11-64, B is the image of B and D is the...Ch. 11 - Prob. 34ECh. 11 - Prob. 35ECh. 11 - Prob. 36ECh. 11 - In Fig 11-68, D is the image of D and C is the...Ch. 11 - In Fig11-69, A is the image of A and D is the...Ch. 11 - Prob. 39ECh. 11 - Prob. 40ECh. 11 - Prob. 41ECh. 11 - Prob. 42ECh. 11 - Prob. 43ECh. 11 - Prob. 44ECh. 11 - Prob. 45ECh. 11 - Prob. 46ECh. 11 - Find the symmetry type for each of the following...Ch. 11 - Prob. 48ECh. 11 - Prob. 49ECh. 11 - Prob. 50ECh. 11 - Prob. 51ECh. 11 - Prob. 52ECh. 11 - Prob. 53ECh. 11 - Prob. 54ECh. 11 - Prob. 55ECh. 11 - Prob. 56ECh. 11 - Prob. 57ECh. 11 - Prob. 58ECh. 11 - Prob. 59ECh. 11 - Prob. 60ECh. 11 - Prob. 61ECh. 11 - Prob. 62ECh. 11 - Prob. 63ECh. 11 - Prob. 64ECh. 11 - Suppose that a rigid motion M is the product of a...Ch. 11 - Prob. 66ECh. 11 - Prob. 67ECh. 11 - Prob. 68ECh. 11 - Prob. 69ECh. 11 - Prob. 70ECh. 11 - Prob. 71ECh. 11 - Prob. 72ECh. 11 - Prob. 73ECh. 11 - Prob. 74ECh. 11 - Prob. 75ECh. 11 - Prob. 76ECh. 11 - Prob. 77ECh. 11 - Prob. 78ECh. 11 - Prob. 79ECh. 11 - Prob. 80E
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