Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
10th Edition
ISBN: 9780133347777
Author: Robert A. Carman Emeritus, Hal M. Saunders
Publisher: PEARSON
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Chapter 5, Problem 3FPS
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5. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.5.AE.003.
y
y= ex²
0
Video Example
x
EXAMPLE 3
(a) Use the Midpoint Rule with n = 10 to approximate the integral
कर
L'ex²
dx.
(b) Give an upper bound for the error involved in this approximation.
SOLUTION
8+2
1
L'ex² d
(a) Since a = 0, b = 1, and n = 10, the Midpoint Rule gives the following. (Round your answer to six decimal places.)
dx Ax[f(0.05) + f(0.15) + ... + f(0.85) + f(0.95)]
0.1 [0.0025 +0.0225
+
+ e0.0625 + 0.1225
e0.3025 + e0.4225
+ e0.2025
+
+ e0.5625 €0.7225 +0.9025]
The figure illustrates this approximation.
(b) Since f(x) = ex², we have f'(x)
=
0 ≤ f'(x) =
< 6e.
ASK YOUR TEACHER
and f'(x) =
Also, since 0 ≤ x ≤ 1 we have x² ≤
and so
Taking K = 6e, a = 0, b = 1, and n = 10 in the error estimate, we see that an upper bound for the error is as follows. (Round your final
answer to five decimal places.)
6e(1)3
e
24(
=
≈
1. Consider the following preference ballots:
Number of voters
Rankings 6 5 4 2
1st choice A DCB
DC
2nd choice B B D
3rd choice DCBD
4th choice CA
AAA
For each of the four voting systems we have studied, determine who would win the election
in each case. (Remember: For plurality with runoff, all but the top two vote-getters are
simultaneously eliminated at the end of round 1.)
Practice
k Help
ises
A
96
Anewer The probability that you get a sum of at least 10 is
Determine the number of ways that the specified event can occur when
two number cubes are rolled.
1. Getting a sum of 9 or 10
3. Getting a sum less than 5
2. Getting a sum of 6 or 7
4. Getting a sum that is odd
Tell whether you would use the addition principle or the multiplication
principle to determine the total number of possible outcomes for the
situation described.
5. Rolling three number cubes
6. Getting a sum of 10 or 12 after rolling three number cubes
A set of playing cards contains four groups of cards designated by color
(black, red, yellow, and green) with cards numbered from 1 to 14 in each
group. Determine the number of ways that the specified event can occur
when a card is drawn from the set.
7. Drawing a 13 or 14
9. Drawing a number less than 4
8. Drawing a yellow or green card
10. Drawing a black, red, or green car
The spinner is divided into equal parts.
Find the specified…
Chapter 5 Solutions
Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
Ch. 5.1 - State the precision and the accuracy of each of...Ch. 5.1 - Prob. 2AECh. 5.1 - Prob. 3AECh. 5.1 - Prob. 4AECh. 5.1 - State the precision and the accuracy of each of...Ch. 5.1 - State the precision and the accuracy of each of...Ch. 5.1 - State the precision and the accuracy of each of...Ch. 5.1 - Prob. 8AECh. 5.1 - Prob. 9AECh. 5.1 - State the precision and the accuracy of each of...
Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Find the closest fractional equivalent for each of...Ch. 5.1 - Convert as shown.
Write each of the following...Ch. 5.1 - Prob. 3DECh. 5.1 - Prob. 4DECh. 5.1 - Machine Trades Specifications call for drilling a...Ch. 5.1 - Metalworking According to standard American wire...Ch. 5.1 - Automotive Trades An auto mechanic converts a...Ch. 5.1 - General Trades What size wrench, to the nearest...Ch. 5.1 - Drafting Find the missing distance x in the...Ch. 5.1 - Carpentry A truckload of knotty pine paneling...Ch. 5.1 - Automotive Trades The wear on a cylinder has...Ch. 5.1 - Interior Design If the rectangular floor of a room...Ch. 5.1 - Transportation A truck, moving continuously,...Ch. 5.1 - Industrial Technology The volume of a cylindrical...Ch. 5.1 - Electronics If an electromagnetic signal moves at...Ch. 5.1 - Aviation What speed must an airplane average in...Ch. 5.1 - Agriculture A crate full of oranges weighs 28.4...Ch. 5.1 - Water/Wastewater Treatment After repairing a...Ch. 5.1 - Sheet Metal Trades Four pieces of sheet metal with...Ch. 5.2 - Prob. 1AECh. 5.2 - Prob. 2AECh. 5.2 - Prob. 3AECh. 5.2 - Prob. 4AECh. 5.2 - Prob. 5AECh. 5.2 - Prob. 6AECh. 5.2 - Prob. 7AECh. 5.2 - Prob. 8AECh. 5.2 - Prob. 9AECh. 5.2 - Prob. 10AECh. 5.2 - Prob. 11AECh. 5.2 - Prob. 12AECh. 5.2 - Prob. 13AECh. 5.2 - Prob. 14AECh. 5.2 - Prob. 15AECh. 5.2 - Prob. 16AECh. 5.2 - Prob. 17AECh. 5.2 - Prob. 18AECh. 5.2 - Prob. 19AECh. 5.2 - Prob. 20AECh. 5.2 - Prob. 21AECh. 5.2 - Prob. 22AECh. 5.2 - Prob. 23AECh. 5.2 - Prob. 24AECh. 5.2 - Prob. 1BECh. 5.2 - Prob. 2BECh. 5.2 - Prob. 3BECh. 5.2 - Prob. 4BECh. 5.2 - Prob. 5BECh. 5.2 - Prob. 6BECh. 5.2 - Prob. 7BECh. 5.2 - Prob. 8BECh. 5.2 - Prob. 9BECh. 5.2 - Prob. 10BECh. 5.2 - Prob. 11BECh. 5.2 - Prob. 12BECh. 5.2 - Prob. 13BECh. 5.2 - Prob. 14BECh. 5.2 - Prob. 15BECh. 5.2 - Prob. 16BECh. 5.2 - C. Solve: Sports and Leisure The Manitou Incline,...Ch. 5.2 - Carpentry Find the number of board feet in each of...Ch. 5.2 - Construction The hole for a footing needs to be 5...Ch. 5.2 - Solve:
Painting The area covered by a given volume...Ch. 5.2 - General Interest The earliest known unit of length...Ch. 5.2 - C. Solve: General Interest In the Bible (Genesis,...Ch. 5.2 - Flooring and Carpeting A homeowner needing...Ch. 5.2 - Prob. 8CECh. 5.2 - Machine Trades A 56-in. twist drill with a...Ch. 5.2 - Welding How many pieces 838in. long can be cut...Ch. 5.2 - Water/Wastewater Treatment A sewer line has a flow...Ch. 5.2 - Hydrology A reservoir has a capacity of 9000 cu...Ch. 5.2 - Sheet Metal Trades A machinist must cut 12 strips...Ch. 5.2 - Allied Health A hospitalized patient must drink 12...Ch. 5.2 - C. Solve: Culinary Arts A recipe for gazpacho soup...Ch. 5.2 - Carpentry A Metabol Steb 135 Plus top-handle...Ch. 5.2 - Culinary Arts A restaurant manager has developed...Ch. 5.2 - Marine Technology In the petroleum industry, a...Ch. 5.2 - Painting A painter must thin some paint for use in...Ch. 5.2 - Interior Design A designer is pricing a certain...Ch. 5.2 - Landscaping A 2800-sq-ft house is built on a flat...Ch. 5.2 - Transportation A car at rest begins traveling at a...Ch. 5.2 - Prob. 23CECh. 5.2 - Automotive Trades A drum of oil contains 55 gal...Ch. 5.2 - Prob. 25CECh. 5.2 - Architecture Calculate the height of the church...Ch. 5.2 - C. Solve: Hydrology Hydrological engineers often...Ch. 5.2 - Prob. 28CECh. 5.2 - Prob. 29CECh. 5.2 - C. Solve: Life Skills A trades worker has a job in...Ch. 5.2 - Prob. 31CECh. 5.2 - Prob. 32CECh. 5.2 - Prob. 33CECh. 5.2 - Prob. 34CECh. 5.2 - C. Solve: Manufacturing A conveyor belt 18 in....Ch. 5.2 - Prob. 36CECh. 5.2 - Prob. 37CECh. 5.2 - Prob. 38CECh. 5.3 - A. Think Metric For each problem, circle the...Ch. 5.3 - Prob. 2AECh. 5.3 - Prob. 3AECh. 5.3 - A. Think Metric For each problem, circle the...Ch. 5.3 - Prob. 5AECh. 5.3 - Prob. 6AECh. 5.3 - Prob. 7AECh. 5.3 - Prob. 8AECh. 5.3 - Prob. 9AECh. 5.3 - Prob. 10AECh. 5.3 - Prob. 11AECh. 5.3 - Prob. 12AECh. 5.3 - Prob. 13AECh. 5.3 - Prob. 14AECh. 5.3 - Prob. 15AECh. 5.3 - Prob. 16AECh. 5.3 - Prob. 19AECh. 5.3 - Prob. 20AECh. 5.3 - Think Metric Choose the closest estimate. 1....Ch. 5.3 - Think Metric Choose the closest estimate. 2....Ch. 5.3 - Think Metric Choose the closest estimate. 3. Tank...Ch. 5.3 - Think Metric Choose the closest estimate. 4....Ch. 5.3 - Think Metric Choose the closest estimate. 5....Ch. 5.3 - Prob. 6BECh. 5.3 - Think Metric Choose the closest estimate. Cold day...Ch. 5.3 - Prob. 8BECh. 5.3 - Prob. 9BECh. 5.3 - Think Metric Choose the closest estimate. 10. Your...Ch. 5.3 - Prob. 11BECh. 5.3 - Prob. 12BECh. 5.3 - Prob. 1CECh. 5.3 - Prob. 2CECh. 5.3 - Prob. 3CECh. 5.3 - Prob. 4CECh. 5.3 - Prob. 5CECh. 5.3 - Perform the following metricmetric conversions. 6....Ch. 5.3 - Prob. 7CECh. 5.3 - Prob. 8CECh. 5.3 - Prob. 9CECh. 5.3 - Prob. 10CECh. 5.3 - Prob. 11CECh. 5.3 - Prob. 12CECh. 5.3 - Prob. 13CECh. 5.3 - Prob. 14CECh. 5.3 - Prob. 15CECh. 5.3 - Prob. 16CECh. 5.3 - Prob. 17CECh. 5.3 - Prob. 18CECh. 5.3 - Prob. 19CECh. 5.3 - Prob. 20CECh. 5.3 - Prob. 21CECh. 5.3 - Prob. 22CECh. 5.3 - Prob. 23CECh. 5.3 - Prob. 24CECh. 5.3 - Prob. 25CECh. 5.3 - Perform the following metricmetric conversions....Ch. 5.3 - Prob. 1DECh. 5.3 - Prob. 2DECh. 5.3 - Prob. 3DECh. 5.3 - Prob. 4DECh. 5.3 - Prob. 5DECh. 5.3 - Prob. 6DECh. 5.3 - Convert to the units shown. Round to the nearest...Ch. 5.3 - Prob. 8DECh. 5.3 - Prob. 9DECh. 5.3 - Prob. 10DECh. 5.3 - Prob. 11DECh. 5.3 - Prob. 12DECh. 5.3 - Prob. 13DECh. 5.3 - Prob. 14DECh. 5.3 - Prob. 15DECh. 5.3 - Prob. 16DECh. 5.3 - Prob. 17DECh. 5.3 - Prob. 18DECh. 5.3 - Prob. 19DECh. 5.3 - Prob. 20DECh. 5.3 - Prob. 21DECh. 5.3 - Prob. 22DECh. 5.3 - Prob. 23DECh. 5.3 - Prob. 24DECh. 5.3 - Prob. 25DECh. 5.3 - Prob. 26DECh. 5.3 - Prob. 27DECh. 5.3 - Prob. 28DECh. 5.3 - Prob. 29DECh. 5.3 - Prob. 30DECh. 5.3 - Prob. 1EECh. 5.3 - Hydrology One cubic foot of water weighs 62.4 lb....Ch. 5.3 - Prob. 3EECh. 5.3 - B. Practical Applications. Round as indicated....Ch. 5.3 - B. Practical Applications. Round as indicated....Ch. 5.3 - Prob. 6EECh. 5.3 - Prob. 7EECh. 5.3 - Prob. 8EECh. 5.3 - Roofing In roofing, the unit one square is...Ch. 5.3 - General Interest A cord of wood is a volume of...Ch. 5.3 - Prob. 11EECh. 5.3 - Prob. 12EECh. 5.3 - D. Practical Applications Electronics Convert the...Ch. 5.3 - Prob. 14EECh. 5.3 - Sports and Leisure Nutrition scientists have...Ch. 5.3 - Prob. 16EECh. 5.3 - Prob. 17EECh. 5.3 - D. Practical Applications Sports and Leisure By...Ch. 5.3 - Prob. 19EECh. 5.3 - Prob. 20EECh. 5.3 - Prob. 21EECh. 5.3 - Prob. 22EECh. 5.3 - D. Practical Applications Construction The Taipei...Ch. 5.3 - Prob. 24EECh. 5.3 - D. Practical Applications Water/Wastewater...Ch. 5.3 - Prob. 26EECh. 5.3 - Prob. 27EECh. 5.3 - Prob. 28EECh. 5.3 - Prob. 29EECh. 5.3 - Prob. 30EECh. 5.3 - Prob. 31EECh. 5.3 - Prob. 32EECh. 5.4 - Find the lengths marked on the following rules.Ch. 5.4 - Find the lengths marked on the following rules.Ch. 5.4 - Find the lengths marked on the following rules.Ch. 5.4 - Read the following micrometers.Ch. 5.4 - Prob. 2BECh. 5.4 - Read the following micrometers.Ch. 5.4 - Read the following micrometers.Ch. 5.4 - Read the following micrometers.Ch. 5.4 - Read the following micrometers.Ch. 5.4 - Prob. 7BECh. 5.4 - Read the following micrometers.Ch. 5.4 - Prob. 9BECh. 5.4 - Read the following micrometers.Ch. 5.4 - Prob. 11BECh. 5.4 - Read the following micrometers.Ch. 5.4 - Read the following micrometers.Ch. 5.4 - Read the following micrometers.Ch. 5.4 - Read the following micrometers.Ch. 5.4 - Read the following micrometers.Ch. 5.4 - Prob. 17BECh. 5.4 - Read the following micrometers.Ch. 5.4 - Prob. 1CECh. 5.4 - Read the following vernier calipers.Ch. 5.4 - Prob. 3CECh. 5.4 - Prob. 4CECh. 5.4 - Prob. 5CECh. 5.4 - Prob. 6CECh. 5.4 - Prob. 7CECh. 5.4 - Read the following vernier calipers.Ch. 5.4 - Prob. 9CECh. 5.4 - Prob. 10CECh. 5.4 - Prob. 1DECh. 5.4 - Prob. 2DECh. 5.4 - Prob. 3DECh. 5.4 - Prob. 4DECh. 5.4 - Prob. 5DECh. 5.4 - Read the following vernier protractors.Ch. 5.4 - Prob. 7DECh. 5.4 - Read the following vernier protractors.Ch. 5.4 - Prob. 1EECh. 5.4 - Prob. 2EECh. 5.4 - Prob. 3EECh. 5.4 - Prob. 4EECh. 5.4 - Read the following meters. Estimate between scale...Ch. 5.4 - Prob. 1FECh. 5.4 - Read the following water meters, electric meters,...Ch. 5.4 - Prob. 3FECh. 5.4 - Prob. 4FECh. 5.4 - Read the following water meters, electric meters,...Ch. 5.4 - Read the following water meters, electric meters,...Ch. 5.4 - Prob. 7FECh. 5.4 - Read the following water meters, electric meters,...Ch. 5.4 - Prob. 1GECh. 5.4 - Prob. 2GECh. 5.4 - Prob. 3GECh. 5.4 - Prob. 4GECh. 5.4 - Prob. 5GECh. 5.4 - Prob. 6GECh. 5.4 - Prob. 7GECh. 5.4 - Prob. 8GECh. 5.4 - Prob. 9GECh. 5.4 - Prob. 10GECh. 5 - Prob. 1PCh. 5 - Add and subtract measurement numbers. (Round to...Ch. 5 - Multiply and divide measurement numbers. (Round to...Ch. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - State the accuracy and precision of each of the...Ch. 5 - State the accuracy and precision of each of the...Ch. 5 - Prob. 3APSCh. 5 - Prob. 4APSCh. 5 - State the accuracy and precision of each of the...Ch. 5 - Prob. 6APSCh. 5 - Prob. 7APSCh. 5 - Prob. 8APSCh. 5 - B. Perform the following calculations with...Ch. 5 - B. Perform the following calculations with...Ch. 5 - B. Perform the following calculations with...Ch. 5 - B. Perform the following calculations with...Ch. 5 - B. Perform the following calculations with...Ch. 5 - Prob. 6BPSCh. 5 - B. Perform the following calculations with...Ch. 5 - Prob. 8BPSCh. 5 - B. Perform the following calculations with...Ch. 5 - Prob. 10BPSCh. 5 - B. Perform the following calculations with...Ch. 5 - Prob. 12BPSCh. 5 - B. Perform the following calculations with...Ch. 5 - B. Perform the following calculations with...Ch. 5 - Prob. 1CPSCh. 5 - Convert the following measurement numbers to new...Ch. 5 - Prob. 3CPSCh. 5 - Convert the following measurement numbers to new...Ch. 5 - Convert the following measurement numbers to new...Ch. 5 - D. Convert the following measurement numbers to...Ch. 5 - Prob. 7CPSCh. 5 - Prob. 8CPSCh. 5 - D. Convert the following measurement numbers to...Ch. 5 - Prob. 10CPSCh. 5 - Prob. 11CPSCh. 5 - Prob. 12CPSCh. 5 - Convert the following measurement numbers to new...Ch. 5 - Prob. 14CPSCh. 5 - Prob. 15CPSCh. 5 - Prob. 16CPSCh. 5 - Convert the following measurement numbers to new...Ch. 5 - D. Convert the following measurement numbers to...Ch. 5 - D. Convert the following measurement numbers to...Ch. 5 - Convert the following measurement numbers to new...Ch. 5 - Prob. 21CPSCh. 5 - Prob. 22CPSCh. 5 - Convert the following measurement numbers to new...Ch. 5 - D. Convert the following measurement numbers to...Ch. 5 - Prob. 25CPSCh. 5 - Prob. 26CPSCh. 5 - Convert the following measurement numbers to new...Ch. 5 - D. Convert the following measurement numbers to...Ch. 5 - Prob. 29CPSCh. 5 - Prob. 30CPSCh. 5 - D. Convert the following measurement numbers to...Ch. 5 - D. Convert the following measurement numbers to...Ch. 5 - Prob. 1DPSCh. 5 - Prob. 2DPSCh. 5 - Prob. 3DPSCh. 5 - Prob. 4DPSCh. 5 - Prob. 5DPSCh. 5 - Prob. 6DPSCh. 5 - Read the following measuring devices. Rulers.Ch. 5 - Prob. 2EPSCh. 5 - Prob. 3EPSCh. 5 - Meters.Ch. 5 - Prob. 5EPSCh. 5 - Prob. 1FPSCh. 5 - Practical Applications. If necessary, round to the...Ch. 5 - Prob. 3FPSCh. 5 - Prob. 4FPSCh. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - Prob. 11FPSCh. 5 - Prob. 12FPSCh. 5 - Prob. 13FPSCh. 5 - Prob. 14FPSCh. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - Prob. 17FPSCh. 5 - Prob. 18FPSCh. 5 - Prob. 19FPSCh. 5 - Prob. 20FPSCh. 5 - Prob. 21FPSCh. 5 - Prob. 22FPSCh. 5 - Prob. 23FPSCh. 5 - Prob. 24FPSCh. 5 - Prob. 25FPSCh. 5 - Prob. 26FPSCh. 5 - Prob. 27FPSCh. 5 - Prob. 28FPSCh. 5 - Prob. 29FPSCh. 5 - Prob. 30FPSCh. 5 - Prob. 31FPSCh. 5 - Prob. 32FPSCh. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - Prob. 34FPSCh. 5 - Prob. 35FPS
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