Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Chapter 9.1, Problem 27E
To determine
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B1 The x distribution is a special case of Gamma distribution (not to be confused with gamma
function; see below). The density function of the Gamma distribution with parameters
and k is given by
where
-1
e
-x/0
(x) =
=
г(k) Øk
if x > 0, and
otherwise,
г(k) = √ ₁
k-1-x dx
x' e
is the gamma function.
(a) For every k ≥ 1, 0 > 0, find the mode of the density. Hint: The algebra can be
simplified by appropriate use of logarithms.
~
Now suppose that X1,..., Xn id Exp(\) and that we have a prior belief in A which is
consistent with a prior distribution X. Gamma(a, b), for some a, ß, i.e. the prior density
of is
Baxa-1-BA
T(a)
e
=
so 01/ẞ and k = a.
(b) Write down the likelihood, and show that the posterior distribution for \ is also a
Gamma distribution, but with parameters a +n and B + Σ Xi.
(c) Find the mode of the posterior distribution and examine the behaviour as n → ∞.
SCIE 211 Lab 3: Graphing and DataWorksheetPre-lab Questions:1. When should you use each of the following types of graphs? Fill answers in the table below.Type of Graph Used to showLine graphScatter plotBar graphHistogramPie Chart2. Several ways in which we can be fooled or misled by a graph were identified in the Lab 3Introduction. Find two examples of misleading graphs on the Internet and paste them below. Besure to identify why each graph is misleading.
Data Charts:Circumference vs. Diameter for circular objectsDiameter Can 1 (cm) Can 2 (cm) Can 3 (cm)Trial 1Trial 2Trial 3MeanCircumference Can 1 (cm) Can 2 (cm) Can 3 (cm)Trial 1Trial 2Trial 3MeanScatter Plot Graph – Circumference Vs. DiameterIdentify 2 points of the Trendline.Y1 = ________ Y2 = _________X1 = ________ X2 = _________Calculate the Slope of the Trendline =
Post-lab Questions:1. Answer the questions below. You will need to use the following equation to answer…
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Chapter 9 Solutions
Basic Technical Mathematics
Ch. 9.1 - For the vectors in Example 2, show that R = B + C...Ch. 9.1 - Prob. 2PECh. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - Prob. 3ECh. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8E
Ch. 9.1 - Prob. 9ECh. 9.1 - Prob. 10ECh. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - In Exercises 15–18, draw the given vectors and...Ch. 9.1 - Prob. 17ECh. 9.1 - In Exercises 15–18, draw the given vectors and...Ch. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - In Exercises 19–40, find the indicated vector sums...Ch. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Prob. 30ECh. 9.1 - Prob. 31ECh. 9.1 - Prob. 32ECh. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Prob. 35ECh. 9.1 - Prob. 36ECh. 9.1 - Prob. 37ECh. 9.1 - Prob. 38ECh. 9.1 - In Exercises 19–40, find the indicated vector sums...Ch. 9.1 - Prob. 40ECh. 9.1 - Prob. 41ECh. 9.1 - Prob. 42ECh. 9.1 - Prob. 43ECh. 9.1 - Prob. 44ECh. 9.1 - Prob. 45ECh. 9.1 - Prob. 46ECh. 9.1 - In Exercises 41–48, solve the given problems. Use...Ch. 9.1 - Prob. 48ECh. 9.2 - For the vector in Example 1, change the angle to...Ch. 9.2 - Prob. 2PECh. 9.2 - Prob. 3PECh. 9.2 - Prob. 1ECh. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - In Exercises 5–10, find the horizontal and...Ch. 9.2 - Prob. 7ECh. 9.2 - In Exercises 5–10, find the horizontal and...Ch. 9.2 - Prob. 9ECh. 9.2 - In Exercises 5–10, find the horizontal and...Ch. 9.2 - Prob. 11ECh. 9.2 - In Exercises 11–20, find the x- and y-components...Ch. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - In Exercises 11–20, find the x- and y-components...Ch. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - In Exercises 11–20, find the x- and y-components...Ch. 9.2 - In Exercises 21–34, find the required horizontal...Ch. 9.2 - In Exercises 21–34, find the required horizontal...Ch. 9.2 - Prob. 23ECh. 9.2 - In Exercises 21–34, find the required horizontal...Ch. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - In Exercises 21–34, find the required horizontal...Ch. 9.2 - Prob. 29ECh. 9.2 - In Exercises 21–34, find the required horizontal...Ch. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.3 - Prob. 1PECh. 9.3 - Prob. 2PECh. 9.3 - Prob. 3PECh. 9.3 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - In Exercises 3–6, vectors A and B are at right...Ch. 9.3 - In Exercises 3–6, vectors A and B are at right...Ch. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - In Exercises 7–14, with the given sets of...Ch. 9.3 - Prob. 11ECh. 9.3 - Prob. 12ECh. 9.3 - Prob. 13ECh. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - Prob. 25ECh. 9.3 - Prob. 26ECh. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - Prob. 28ECh. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - In order to move an ocean liner into the channel,...Ch. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - Prob. 33ECh. 9.3 - Prob. 34ECh. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.4 - A ship sails 32.50 mi due east and then turns...Ch. 9.4 - Prob. 2PECh. 9.4 - EXAMPLE 5 Equilibrium—forces on a climber
A 165-lb...Ch. 9.4 - Prob. 1ECh. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 - A jet is 115 mi east and 88.3 mi north of Niagara...Ch. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.4 - Prob. 7ECh. 9.4 - Toronto is 650 km at 19.0° north of east from...Ch. 9.4 - Prob. 9ECh. 9.4 - A rocket is launched with a vertical component of...Ch. 9.4 - In testing the behavior of a tire on ice, a force...Ch. 9.4 - To raise a crate, two ropes are attached to its...Ch. 9.4 - A storm front is moving east at 18.0 km/h and...Ch. 9.4 - Prob. 14ECh. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - In an automobile safety test, a shoulder and seat...Ch. 9.4 - Prob. 18ECh. 9.4 - A plane flies at 550 km/h into a head wind of 60...Ch. 9.4 - A ship’s navigator determines that the ship is...Ch. 9.4 - Prob. 21ECh. 9.4 - Prob. 22ECh. 9.4 - Prob. 23ECh. 9.4 - On a mountain trek, a pack mule becomes obstinate...Ch. 9.4 - Prob. 25ECh. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - A mine shaft goes due west 75 m from the opening...Ch. 9.4 - Prob. 29ECh. 9.4 -
A scuba diver’s body is directed downstream at...Ch. 9.4 - Prob. 31ECh. 9.4 - Prob. 32ECh. 9.4 - Prob. 33ECh. 9.4 - Prob. 34ECh. 9.4 - A plane is moving at 75.0 m/s, and a package with...Ch. 9.4 - Prob. 36ECh. 9.4 - Prob. 37ECh. 9.4 - Prob. 38ECh. 9.5 - Prob. 1PECh. 9.5 - Prob. 2PECh. 9.5 - Prob. 3PECh. 9.5 - Prob. 1ECh. 9.5 - Prob. 2ECh. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - Prob. 14ECh. 9.5 - Prob. 15ECh. 9.5 - Prob. 16ECh. 9.5 - Prob. 17ECh. 9.5 - Prob. 18ECh. 9.5 - Prob. 19ECh. 9.5 - Prob. 20ECh. 9.5 - A small island is approximately a triangle in...Ch. 9.5 - A boat followed a triangular route going from dock...Ch. 9.5 - The loading ramp at a delivery service is 12.5 ft...Ch. 9.5 - In an aerial photo of a triangular field, the...Ch. 9.5 - The Pentagon (headquarters of the U.S. Department...Ch. 9.5 - Prob. 26ECh. 9.5 - Prob. 27ECh. 9.5 - Prob. 28ECh. 9.5 - Prob. 29ECh. 9.5 - When an airplane is landing at an 8250-ft runway,...Ch. 9.5 - Find the total length of the path of the laser...Ch. 9.5 - Prob. 32ECh. 9.5 - Prob. 33ECh. 9.5 - Prob. 34ECh. 9.5 - Prob. 35ECh. 9.5 - Prob. 36ECh. 9.5 - Prob. 37ECh. 9.5 - Prob. 38ECh. 9.6 - Prob. 1PECh. 9.6 - Prob. 2PECh. 9.6 - Prob. 1ECh. 9.6 - Prob. 2ECh. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - Prob. 6ECh. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - Prob. 9ECh. 9.6 - Prob. 10ECh. 9.6 - Prob. 11ECh. 9.6 - Prob. 12ECh. 9.6 - Prob. 13ECh. 9.6 - Prob. 14ECh. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - Prob. 16ECh. 9.6 - Prob. 17ECh. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - Prob. 19ECh. 9.6 - Prob. 20ECh. 9.6 - Prob. 21ECh. 9.6 - Prob. 22ECh. 9.6 - Prob. 23ECh. 9.6 - Prob. 24ECh. 9.6 - Prob. 25ECh. 9.6 - Prob. 26ECh. 9.6 - Prob. 27ECh. 9.6 - Prob. 28ECh. 9.6 - Prob. 29ECh. 9.6 - In Exercises 21–40, use the law of cosines to...Ch. 9.6 - Prob. 31ECh. 9.6 - Prob. 32ECh. 9.6 - In Exercises 21–40, use the law of cosines to...Ch. 9.6 - Prob. 34ECh. 9.6 - Prob. 35ECh. 9.6 - Prob. 36ECh. 9.6 - In Exercises 21–40, use the law of cosines to...Ch. 9.6 - Prob. 38ECh. 9.6 - Prob. 39ECh. 9.6 - Prob. 40ECh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - In Exercises 15–22, add the given vectors by using...Ch. 9 - Prob. 17RECh. 9 - Prob. 18RECh. 9 - Prob. 19RECh. 9 - Prob. 20RECh. 9 - Prob. 21RECh. 9 - Prob. 22RECh. 9 - Prob. 23RECh. 9 - Prob. 24RECh. 9 - Prob. 25RECh. 9 - Prob. 26RECh. 9 - Prob. 27RECh. 9 - Prob. 28RECh. 9 - Prob. 29RECh. 9 - Prob. 30RECh. 9 - Prob. 31RECh. 9 - Prob. 32RECh. 9 - Prob. 33RECh. 9 - Prob. 34RECh. 9 - Prob. 35RECh. 9 - Prob. 36RECh. 9 - Prob. 37RECh. 9 - Prob. 38RECh. 9 - Prob. 39RECh. 9 - Prob. 40RECh. 9 - Prob. 41RECh. 9 - In Exercises 41–74, solve the given problems.
42....Ch. 9 - Prob. 43RECh. 9 - Prob. 44RECh. 9 - Prob. 45RECh. 9 - Prob. 46RECh. 9 - Prob. 47RECh. 9 - Prob. 48RECh. 9 - Prob. 49RECh. 9 - Prob. 50RECh. 9 - Prob. 51RECh. 9 - Prob. 52RECh. 9 - In Exercises 41–74, solve the given...Ch. 9 - Prob. 54RECh. 9 - Prob. 55RECh. 9 - Prob. 56RECh. 9 - Prob. 57RECh. 9 - Prob. 58RECh. 9 - Prob. 59RECh. 9 - Prob. 60RECh. 9 - Prob. 61RECh. 9 - Prob. 62RECh. 9 - Prob. 63RECh. 9 - Prob. 64RECh. 9 - Prob. 65RECh. 9 - Prob. 66RECh. 9 - Prob. 67RECh. 9 - Prob. 68RECh. 9 - Prob. 69RECh. 9 - Prob. 70RECh. 9 - Prob. 71RECh. 9 - Prob. 72RECh. 9 - Prob. 73RECh. 9 - Prob. 74RECh. 9 - Prob. 75RECh. 9 - Prob. 1PTCh. 9 - Prob. 2PTCh. 9 - Prob. 3PTCh. 9 - Prob. 4PTCh. 9 - Prob. 5PTCh. 9 - Prob. 6PTCh. 9 - Prob. 7PTCh. 9 - Prob. 8PTCh. 9 - Prob. 9PTCh. 9 - Prob. 10PTCh. 9 - Prob. 11PT
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