EBK COLLEGE ALGEBRA IN CONTEXT
5th Edition
ISBN: 8220103453592
Author: YOCCO
Publisher: Pearson Education (US)
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Chapter 4.1, Problem 55E
To determine
To sketch: The graph of
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Task number: A1.1, A1.7
Topic: Celestial Navigation, Compass - Magnetic and Gyro
Activ Determine compass error (magnetic and gyro) using azimuth choosing a suitable
celestial body (Sun/ Stars/ Planets/ Moon). Apply variation to find the deviation of the magnetic
compass.
Minimum number of times that activity should be recorded: 6 (2 each phase)
Sample calculation (Azimuth- Planets):
On 06th May 2006 at 22h20m 10s UTC, a vessel in position 48°00'N 050°00'E observed Mars bearing
327° by compass. Find the compass error. If variation was 4.0° East, calculate the deviation.
GHA Mars (06d 22h):
Increment (20m 10s):
089° 55.7'
005° 02.5'
v (0.9):
(+)
00.3'
GHA Mars:
094° 58.5'
Longitude (E):
(+) 050° 00.0' (plus- since longitude is easterly)
LHA Mars:
144° 58.5'
Declination (06d 22h):
d (0.2):
N 024° 18.6'
(-)
00.1'
Declination Mars:
N 024° 18.5'
P=144° 58.5' (If LHA<180°, P=LHA)
A Tan Latitude/ Tan P
A Tan 48° 00' Tan 144° 58.5'
A = 1.584646985 N (A is named opposite to latitude, except when…
Task number: A1.1, A1.7
Topic: Celestial Navigation, Compass - Magnetic and Gyro
Activ Determine compass error (magnetic and gyro) using azimuth choosing a suitable
celestial body (Sun/ Stars/ Planets/ Moon). Apply variation to find the deviation of the magnetic
compass.
Minimum number of times that activity should be recorded: 6 (2 each phase)
Sample calculation (Azimuth- Planets):
On 06th May 2006 at 22h20m 10s UTC, a vessel in position 48°00'N 050°00'E observed Mars bearing
327° by compass. Find the compass error. If variation was 4.0° East, calculate the deviation.
GHA Mars (06d 22h):
Increment (20m 10s):
089° 55.7'
005° 02.5'
v (0.9):
(+)
00.3'
GHA Mars:
094° 58.5'
Longitude (E):
(+) 050° 00.0' (plus- since longitude is easterly)
LHA Mars:
144° 58.5'
Declination (06d 22h):
d (0.2):
N 024° 18.6'
(-)
00.1'
Declination Mars:
N 024° 18.5'
P=144° 58.5' (If LHA<180°, P=LHA)
A Tan Latitude/ Tan P
A Tan 48° 00' Tan 144° 58.5'
A = 1.584646985 N (A is named opposite to latitude, except when…
Activ
Determine compass error using amplitude (Sun).
Minimum number of times that activity should be performed: 3 (1 each phase)
Sample calculation (Amplitude- Sun):
On 07th May 2006 at Sunset, a vessel in position 10°00'N 010°00'W observed the Sun bearing 288°
by compass. Find the compass error.
LMT Sunset:
LIT:
(+) 00d
07d 18h
00h
13m
40m
UTC Sunset:
07d
18h
53m
(added- since longitude is westerly)
Declination (07d 18h):
N 016° 55.5'
d (0.7):
(+)
00.6'
Declination Sun:
N 016° 56.1'
Sin Amplitude = Sin Declination/Cos Latitude
= Sin 016°56.1'/ Cos 10°00'
= 0.295780189
Amplitude=W17.2N
(The prefix of amplitude is named easterly if body is rising,
and westerly if body is setting. The suffix is named same
as declination)
True Bearing=287.2°
Compass Bearing= 288.0°
Compass Error = 0.8° West
Chapter 4 Solutions
EBK COLLEGE ALGEBRA IN CONTEXT
Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - Prob. 10E
Ch. 4.1 - Prob. 11ECh. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - Prob. 13ECh. 4.1 - Prob. 14ECh. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - In Exercises 2932, write the equation of the...Ch. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - Determine whether each of the complete graphs in...Ch. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.1 - Marijuana Use The number of millions of people age...Ch. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Prob. 61ECh. 4.1 - Pollution The daily cost C (in dollars) of...Ch. 4.1 - Population Growth Suppose the population of a...Ch. 4.1 - Mortgages The balance owed y on a 50,000 mortgage...Ch. 4.1 - Personal Expenditures Personal consumption...Ch. 4.1 - Prob. 66ECh. 4.1 - Prob. 67ECh. 4.1 - Prob. 68ECh. 4.1 - Prob. 69ECh. 4.1 - Prob. 70ECh. 4.1 - Prob. 71ECh. 4.1 - Prob. 72ECh. 4.2 - In Exercises 18, find the following: (a) (f + g)...Ch. 4.2 - In Exercises 18, find the following: (a) (f + g)...Ch. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - Prob. 18ECh. 4.2 - Prob. 19ECh. 4.2 - Prob. 20ECh. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Prob. 23ECh. 4.2 - Prob. 24ECh. 4.2 - Profit Suppose that the total weekly cost for the...Ch. 4.2 - Prob. 26ECh. 4.2 - Revenue and Cost The total revenue function for...Ch. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Revenue and Cost The total monthly revenue...Ch. 4.2 - Prob. 31ECh. 4.2 - Cost-Benefit Suppose that for a certain city the...Ch. 4.2 - Prob. 33ECh. 4.2 - Electronic Components The monthly cost of...Ch. 4.2 - Football Tickets At a certain school, the number...Ch. 4.2 - Prob. 36ECh. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - Profit A manufacturer of computers has monthly...Ch. 4.2 - Prob. 41ECh. 4.2 - Population of Children The following table gives...Ch. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Shoe Sizes A womans shoe that is size x in Japan...Ch. 4.2 - Shoe Sizes A mans shoe that is size x in Britain...Ch. 4.2 - Exchange Rates On a certain date, each Japanese...Ch. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - Prob. 50ECh. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Prob. 54ECh. 4.3 - In Exercises 1 and 2, determine if the function f...Ch. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - Prob. 14ECh. 4.3 - Prob. 15ECh. 4.3 - In Exercises 15 and 16, determine whether each...Ch. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - a. Write the inverse of f(x) = 3x 4. b. Do the...Ch. 4.3 - a.Write the inverse of g(x)=2x31. b.Do the values...Ch. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - Prob. 30ECh. 4.3 - Prob. 31ECh. 4.3 - Prob. 32ECh. 4.3 - Shoe Sizes If x is the size of a mans shoe in...Ch. 4.3 - Investments If x dollars are invested at 10% for 6...Ch. 4.3 - Currency Conversion Suppose the function that...Ch. 4.3 - Apparent Temperature If the outside temperature is...Ch. 4.3 - Prob. 37ECh. 4.3 - Body-Heat Loss The model for body-heat loss...Ch. 4.3 - Prob. 39ECh. 4.3 - Decoding Messages If we assign numbers to the...Ch. 4.3 - Prob. 41ECh. 4.3 - Social Security Numbers and Income Taxes Consider...Ch. 4.3 - Prob. 43ECh. 4.3 - Volume of a Cube The volume of a cube is f(x) = x3...Ch. 4.3 - Prob. 45ECh. 4.3 - Surface Area The surface area of a cube is...Ch. 4.3 - Internet Access Using data from 2009 through 2015,...Ch. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - First-Class Postage The postage charged for...Ch. 4.3 - Prob. 51ECh. 4.3 - Path of a Ball If a ball is thrown into the air at...Ch. 4.4 - In Exercises 120, solve the equations...Ch. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - In Exercises 120, solve the equations...Ch. 4.4 - Prob. 7ECh. 4.4 - In Exercises 120, solve the equations...Ch. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Prob. 20ECh. 4.4 - In Exercises 2130, use algebraic methods to solve...Ch. 4.4 - Prob. 22ECh. 4.4 - In Exercises 2130, use algebraic methods to solve...Ch. 4.4 - Prob. 24ECh. 4.4 - In Exercises 2130, use algebraic methods to solve...Ch. 4.4 - In Exercises 2130, use algebraic methods to solve...Ch. 4.4 - In Exercises 2130, use algebraic methods to solve...Ch. 4.4 - In Exercises 2130, use algebraic methods to solve...Ch. 4.4 - In Exercises 2130, use algebraic methods to solve...Ch. 4.4 - In Exercises 2130, use algebraic methods to solve...Ch. 4.4 - In Exercises 3134, use graphical methods to solve...Ch. 4.4 - In Exercises 3134, use graphical methods to solve...Ch. 4.4 - Prob. 33ECh. 4.4 - Prob. 34ECh. 4.4 - In Exercises 3542, solve the inequalities by using...Ch. 4.4 - Prob. 36ECh. 4.4 - Prob. 37ECh. 4.4 - Prob. 38ECh. 4.4 - In Exercises 3542, solve the inequalities by using...Ch. 4.4 - Prob. 40ECh. 4.4 - Prob. 41ECh. 4.4 - Prob. 42ECh. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - Prob. 45ECh. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Prob. 49ECh. 4.4 - Prob. 50ECh. 4.4 - Prob. 51ECh. 4.4 - Prob. 52ECh. 4.4 - Use algebraic and/or graphical methods to solve...Ch. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - Prob. 61ECh. 4.4 - Prob. 62ECh. 4.4 - Prob. 63ECh. 4.4 - Use graphical and/or numerical methods to solve...Ch. 4.4 - Retail Sales November and December retail sales,...Ch. 4.4 - Voltage Required voltage for an electric oven is...Ch. 4.4 - Purchasing Power Inflation causes a decrease in...Ch. 4 - The domain of the reciprocal function is _____,...Ch. 4 - The domain of the constant function g(x) = k is...Ch. 4 - The reciprocal function decreases on _____.Ch. 4 - The absolute value function increase on the...Ch. 4 - The range of the squaring function is _____.Ch. 4 - Prob. 6TECh. 4 - Prob. 7TECh. 4 - Prob. 8TECh. 4 - Prob. 9TECh. 4 - In Exercises 712, determine whether the function...Ch. 4 - In Exercises 712, determine whether the function...Ch. 4 - Prob. 12TECh. 4 - Prob. 13TECh. 4 - Prob. 14TECh. 4 - Prob. 15TECh. 4 - Prob. 16TECh. 4 - Prob. 17TECh. 4 - Prob. 18TECh. 4 - Prob. 19TECh. 4 - Prob. 20TECh. 4 - Prob. 21TECh. 4 - Prob. 22TECh. 4 - How is the graph of g(x) = (x 8)2 + 7 transformed...Ch. 4 - How is the graph of g(x) = 2(x + 1)3 transformed...Ch. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - In Exercises 10 and 11, determine algebraically...Ch. 4 - In Exercises 10 and 11, determine algebraically...Ch. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - For Exercise 1320, use the functions f(x)=3x25x,...Ch. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Is the function f(x)=xx1 a one-to-one function?Ch. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Solve 4x5x1/2+1=0.Ch. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prison Sentences The mean time in prison y for...Ch. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - The Cloud North American cloud computing revenues...
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