Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
6th Edition
ISBN: 9780321914620
Author: Jeffrey O. Bennett, William L. Briggs
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2.A, Problem 36E
To determine
Unit conversion of 24 feet to yards to the nearest hundredth.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
6. [10] Evaluate
(2
(2+2y) ds where C is the upper half-circle centered at the origin connecting
the point (2,0) to the point (-2,0).
7. [10] Show that the vector field
F(x, y, z) =
is conservative and integrate it along the curve
П
C(t) =
si
sin t,
nt, cost,t),
te
[0,1]
8. [10] Use Stokes' Theorem to compute the integral
curl F.dS, where F(x, y, z) = xzi+yxj+xy k
I cur
and S is the part of the sphere x² + y²+z² = 9 that lies inside the cylinder x2 + y²
above the xy-plane.
9. [10] Use Green's theorem to evaluate
So
√1+x3 dx+2xy dy
where C is the triangle with vertices (0,0), (1, 0) and (1, 3).
10. [10] Evaluate the surface integral
(x²z + y²z) dS
where S is the hemisphere x² + y²+2² = 4, z> 0.
= 1 and
☐
Part 1:
A linear electrical load draws 1₁ A at a 0.72 lagging power factor. See the table to find ½ for your
student ID. When a capacitor is connected, the line current dropped to 122 A and the power factor
improved to 0.98 lagging. Supply frequency is 50 Hz.
a. Let the current drawn from the source before and after introduction of the capacitor be 1₁ and I₂
respectively. Take the source voltage as the reference and express 11 and 12 as vector
quantities in polar form.
b. Obtain the capacitor current, Ic = 12 − I₁, graphically as well as using complex number
manipulation. Compare the results.
c. Express the waveforms of the source current before (į (t)) and after (i2(t)) introduction of the
capacitor in the form Im sin(2лft + 0). Hand sketch them on the same graph. Clearly label your
plots.
d. Analytically solve i̟2(t) − i₁ (t) using the theories of trigonometry to obtain the capacitor current
in the form, ic(t) = Icm sin(2πft + 0c). Compare the result with the result in Part b.
= x³, y = 8, x = 0.
Let R be the region bounded by the curves y = x³
1. Sketch the region and find the area. Write your answer in simplest fractional form.
2. Sketch the solid you obtain by rotating the region R about the x-axis.
3. Find the volume of the solid obtained by rotating the region R about the x-axis
using the disk/washer method. Write the formula you are using. Write your answer
in terms of π. Draw the approximating rectangle that you rotate.
4. Find the volume of the solid obtained by rotating the region R about the x-axis
using the shell method. Write the formula you are using. Write your answer in
terms of π. Draw the approximating rectangle that you rotate.
5. Which method did you find easier and why? [There is no wrong answer for what
you find easier, but explain.]
6. Sketch the solid you obtain by rotating the region R about the y-axis.
7. Find the volume of the solid obtained by rotating the region R about the y-axis
using the disk/washer method. Write the formula…
Chapter 2 Solutions
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Ch. 2.A - What does the word per mean? divided by multiplied...Ch. 2.A - Which of the following represents 4 square miles?...Ch. 2.A - If you multiply an area in square feet by a height...Ch. 2.A - There are 1760 yards in a mile. Therefore, one...Ch. 2.A - One square foot is equivalent to 12 square inches...Ch. 2.A - The fact that 1 liter = 1.057 quarts can be...Ch. 2.A - Prob. 7QQCh. 2.A - Prob. 8QQCh. 2.A - Prob. 9QQCh. 2.A - Prob. 10QQ
Ch. 2.A - What are units? Describe the meaning of key worxs...Ch. 2.A - Explain why a unit conversion really involves just...Ch. 2.A - Explain in words or with a picture why there are 9...Ch. 2.A - What are the basic metric units of length, mass,...Ch. 2.A - Prob. 5ECh. 2.A - Describe how to read and use the currency data in...Ch. 2.A - I drove at a speed of 35 miles for the entire...Ch. 2.A - I have a box with a volume of 2 square feet.Ch. 2.A - Prob. 9ECh. 2.A - I know a professional bicyclist who weight 300...Ch. 2.A - My friend ran 10,000 meters in less than an hour.Ch. 2.A - Prob. 12ECh. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - Prob. 17ECh. 2.A - Prob. 18ECh. 2.A - Math Review. The following exercises require the...Ch. 2.A - Prob. 20ECh. 2.A - Prob. 21ECh. 2.A - Using Key Words. Show operations and units clearly...Ch. 2.A - Prob. 23ECh. 2.A - Using Key Words. Show operations and units clearly...Ch. 2.A - Prob. 25ECh. 2.A - Prob. 26ECh. 2.A - Identifying Units. Identify the units of the...Ch. 2.A - Prob. 28ECh. 2.A - Identifying Units. Identify the units of the...Ch. 2.A - Prob. 30ECh. 2.A - Identifying Units. Identify the units of the...Ch. 2.A - Prob. 32ECh. 2.A - Prob. 33ECh. 2.A - Prob. 34ECh. 2.A - Prob. 35ECh. 2.A - Prob. 36ECh. 2.A - Unit Conversions. Carry out the following unit...Ch. 2.A - Prob. 38ECh. 2.A - Prob. 39ECh. 2.A - Unit Conversions. Carry out the following unit...Ch. 2.A - Prob. 41ECh. 2.A - Prob. 42ECh. 2.A - Conversions with Square and Cubic Units. 43.Find a...Ch. 2.A - 43-48: Conversions with Square and Cubic...Ch. 2.A - Conversions with Square and Cubic Units. 45.A new...Ch. 2.A - 43-48: Conversions with Square and Cubic...Ch. 2.A - Conversions with Square and Cubic Units. 47.An air...Ch. 2.A - Prob. 48ECh. 2.A - USCS Units. Answer the following questions...Ch. 2.A - Prob. 50ECh. 2.A - USCS Units. Answer the following questions...Ch. 2.A - Prob. 52ECh. 2.A - USCS Units. Answer the following questions...Ch. 2.A - USCS Units. Answer the following questions...Ch. 2.A - Metric Prefixes. Complete the following sentences...Ch. 2.A - Prob. 56ECh. 2.A - Metric Prefixes. Complete the following sentences...Ch. 2.A - Prob. 58ECh. 2.A - Metric Prefixes. Complete the following sentences...Ch. 2.A - Prob. 60ECh. 2.A - USCS-Metric Conversions. Convert the following...Ch. 2.A - Prob. 62ECh. 2.A - USCS-Metric Conversions. Convert the following...Ch. 2.A - Prob. 64ECh. 2.A - USCS-Metric Conversions. Convert the following...Ch. 2.A - Prob. 66ECh. 2.A - USCS-Metric Conversions. Convert the following...Ch. 2.A - Prob. 68ECh. 2.A - Celsius-Fahrenheit Conversions. Convert the...Ch. 2.A - Prob. 70ECh. 2.A - Celsius-Kelvin Conversions. Convert the following...Ch. 2.A - Prob. 72ECh. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Prob. 74ECh. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Prob. 76ECh. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Professional Basketball Salaries. In the 2012-2013...Ch. 2.A - Full of Hot Air. The average person breathes 6...Ch. 2.A - Busy Reading. Suppose you have a tablet with a...Ch. 2.A - Landscaping Project. Suppose that you are planning...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - The Cullinan Diamond. The Cullinan diamond is the...Ch. 2.A - Prob. 88ECh. 2.A - Prob. 89ECh. 2.A - Prob. 90ECh. 2.A - Use carats and karats, as discussed in the In Your...Ch. 2.A - Prob. 92ECh. 2.A - Metric Area. When the metric system was first...Ch. 2.A - Measuring drops. Medication is often delivered...Ch. 2.A - Prob. 95ECh. 2.A - Drug Dosage. The label on a particular drug...Ch. 2.A - False Advertising? A Goodyear tire commercial...Ch. 2.A - 98. Units on the highway. Next time you are on the...Ch. 2.A - Are the units clear? Find a news story that...Ch. 2.A - Prob. 100ECh. 2.A - Prob. 101ECh. 2.A - South American Adventure. Suppose you are planning...Ch. 2.A - Currency Conversions. Use internet to convert $100...Ch. 2.A - Prob. 104ECh. 2.B - To end up with units of speed, you need to...Ch. 2.B - You are given two pieces of information: (1) the...Ch. 2.B - You are given two pieces of information: (1) the...Ch. 2.B - Which of the following is not a unit of energy? a....Ch. 2.B - You want to know how much total energy is required...Ch. 2.B - New Mexico has a population density of about 12...Ch. 2.B - The concentration of carbon dioxide in earth’s...Ch. 2.B - The guidelines for a particular drug specify a...Ch. 2.B - A blood alcohol content (BAC) of 0.08gm/100 ml...Ch. 2.B - Prob. 10QQCh. 2.B - Prob. 1ECh. 2.B - What is energy? List at least three common units...Ch. 2.B - Prob. 3ECh. 2.B - what do we mean by density? What do we mean by...Ch. 2.B - Prob. 5ECh. 2.B - Prob. 6ECh. 2.B - My daily food intake gives me about 10 million...Ch. 2.B - Our utility company charges 10$ per watt for the...Ch. 2.B - The beach ball we played with had a density of 10...Ch. 2.B - Prob. 10ECh. 2.B - The nurse gave a 100-kilogram man twice as large a...Ch. 2.B - Prob. 12ECh. 2.B - An airliner travels 45 miles in 5 minutes. What is...Ch. 2.B - what is the total cost of 1.2 cubic yards of soil...Ch. 2.B - A hose fills a hot tub at a rate of 3.2 gallons...Ch. 2.B - Competition speed skydivers have reached record...Ch. 2.B - How much would you pay for 2.5 ounces of gold at a...Ch. 2.B - Suppose you earn $8.50 per hour and work 24...Ch. 2.B - In 2008,565,650 Americans died of (all forms of)...Ch. 2.B - In 2008, about 310,000 Americans died of sudden...Ch. 2.B - There are approximately 3 million births in the...Ch. 2.B - During a long road trip, you drive 420 miles on a...Ch. 2.B - Prob. 23ECh. 2.B - Prob. 24ECh. 2.B - Prob. 25ECh. 2.B - Prob. 26ECh. 2.B - Prob. 27ECh. 2.B - Prob. 28ECh. 2.B - Prob. 29ECh. 2.B - Prob. 30ECh. 2.B - Prob. 31ECh. 2.B - Prob. 32ECh. 2.B - Prob. 33ECh. 2.B - 34. You can rent a storage locker for $32/yd2 per...Ch. 2.B - Prob. 35ECh. 2.B - Prob. 36ECh. 2.B - Gas mileage actually varies slightly with the...Ch. 2.B - Suppose your car averages 32 miles per gallon on...Ch. 2.B - Greenland ice sheet. The Greenland ice sheet...Ch. 2.B - Volcanic eruption. The greatest volcanic eruption...Ch. 2.B - Prob. 41ECh. 2.B - Prob. 42ECh. 2.B - Your utility company charges 13$ per kilowatt-hour...Ch. 2.B - Energy Savings. For these questions, assume 365...Ch. 2.B - Prob. 45ECh. 2.B - Prob. 46ECh. 2.B - Prob. 47ECh. 2.B - Densities. Compute the following densities using...Ch. 2.B - Densities. Compute the following densities using...Ch. 2.B - Prob. 50ECh. 2.B - 51-52. Medication Doses.
51. The antihistamine...Ch. 2.B - 51-52. Medication Doses.
52. Suppose a dose of...Ch. 2.B - Blood Alcohol Content: Wine. A typical glass of...Ch. 2.B - Prob. 54ECh. 2.B - Prob. 55ECh. 2.B - Prob. 56ECh. 2.B - Prob. 57ECh. 2.B - Prob. 58ECh. 2.B - Prob. 59ECh. 2.B - Prob. 60ECh. 2.B - Prob. 61ECh. 2.B - 62-67: Drug Dosing.
62. Solution Concentrations....Ch. 2.B - 62-67: Drug Dosing.
64. Infusion Rates for...Ch. 2.B - 62-67: Drug Dosing.
65. Infusion Rates for...Ch. 2.B - Prob. 66ECh. 2.B - Drug Dosing. 67. Administering Penicillin. A...Ch. 2.B - Prob. 68ECh. 2.B - 69-70: Electric Bills. Consider the following...Ch. 2.B - 69-70: Electric Bills. Consider the following...Ch. 2.B - Prob. 71ECh. 2.B - Prob. 72ECh. 2.B - Prob. 73ECh. 2.B - Prob. 74ECh. 2.B - Prob. 75ECh. 2.B - Wind Power: One Turbine. Modern wind energy...Ch. 2.B - Prob. 77ECh. 2.B - Prob. 78ECh. 2.B - Prob. 79ECh. 2.B - Fertilizing Winter Wheat. Guidelines for the...Ch. 2.B - Prob. 81ECh. 2.B - Prob. 82ECh. 2.B - Prob. 83ECh. 2.B - 84. Air Pollution. Investigate the average...Ch. 2.B - Alcohol Poisoning. Research some aspects of the...Ch. 2.B - Utility Bill. Analyze a utility bill. Explain all...Ch. 2.C - 1. A quantitative problem from daily life
a....Ch. 2.C - Prob. 2QQCh. 2.C - Prob. 3QQCh. 2.C - Prob. 4QQCh. 2.C - Prob. 5QQCh. 2.C - Prob. 6QQCh. 2.C - Prob. 7QQCh. 2.C - 8. Forty balls numbered 1 through 40 are mixed up...Ch. 2.C - 9. Karen arrives at the subway station every day...Ch. 2.C - Prob. 10QQCh. 2.C - 1. Describe the four steps of problem solving.
Ch. 2.C - Summarize the strategic hints for problem solving...Ch. 2.C - My simple problem-solving recipe will enable you...Ch. 2.C - 4. Whether it’s a problem in mathematics or...Ch. 2.C - The four-step problem-solving method given in this...Ch. 2.C - Prob. 6ECh. 2.C - A Toll Booth. A toll collector on a highway...Ch. 2.C - Prob. 8ECh. 2.C - A Second Race. Jordan and Amari run a 200-meter...Ch. 2.C - Cars and Canaries. Two cars, 360 kilometers apart,...Ch. 2.C - Mixing Marbles. Consider the case in which each of...Ch. 2.C - 12. Coiling Problems. Eight turns of a wire are...Ch. 2.C - 13 Bowed Rail. Suppose a railroad rail is 1...Ch. 2.C - 14. China’s Population. To convince yourself that...Ch. 2.C - Alternative Thinking: The Monk and the Mountain. A...Ch. 2.C - Prob. 16ECh. 2.C - Prob. 17ECh. 2.C - Prob. 18ECh. 2.C - Prob. 19ECh. 2.C - Prob. 20ECh. 2.C - Prob. 21ECh. 2.C - Prob. 22ECh. 2.C - Prob. 23ECh. 2.C - Prob. 24ECh. 2.C - Prob. 25ECh. 2.C - Prob. 26ECh. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - 20-39: Puzzle Problems. The following puzzle...Ch. 2.C - Prob. 29ECh. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - 20-39: Puzzle Problems. The following puzzle...Ch. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - Prob. 33ECh. 2.C - Prob. 34ECh. 2.C - Prob. 35ECh. 2.C - Prob. 36ECh. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - Prob. 39ECh. 2.C - Prob. 40ECh. 2.C - Prob. 41ECh. 2.C - Prob. 42ECh. 2.C - Prob. 43ECh. 2.C - Prob. 44ECh. 2.C - Prob. 45ECh. 2.C - Prob. 46ECh. 2.C - Prob. 47ECh. 2.C - Prob. 48ECh. 2.C - 49. Textbook Analysis. Although research shows...Ch. 2.C - Prob. 50ECh. 2.C - Prob. 51ECh. 2.C - 52. Multiple Solutions. Find an example of a real...Ch. 2.C - 53. Multiple Strategies. Find an example of a real...Ch. 2.C - Prob. 54E
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Go to page 82 for the geometry problem. Use the formula for the area of a triangle to compute the area given the base and height. Link: [https://drive.google.com/file/d/1RQ2OZK-LSxp RyejKEMg 1t2q15dbpVLCS/view? usp=sharing] Provide a step-by-step solution.arrow_forwardRefer to page 79 of the shared document for the algebra problem. Use basic algebraic rules to simplify the given expression. Link: [https://drive.google.com/file/d/1RQ2OZK-LSxp RyejKEMg1t2q15dbpVLCS/view? usp=sharing] Provide all steps clearly.arrow_forward#7 Using implicit differentiation, find the equation of the tangent line to the given curve at the given point: a) 3x2y2-3y-17=5x+14 at (1,-3) b) y2-7xy+x-2x=9 at (0,3)arrow_forward
- Please calculate the shaded areaarrow_forwardAn investigator analyzed the leading digits from 797 checks issued by seven suspect companies. The frequencies were found to be 0, 19, 2, 50, 361, 309, 10, 22, and 24, and those digits correspond to the leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. If the observed frequencies are substantially different from the frequencies expected with Benford's law shown below, the check amounts appear to result from fraud. Use a 0.10 significance level to test for goodness-of-fit with Benford's law. Does it appear that the checks are the result of fraud? Leading Digit Actual Frequency Benford's Law: Distribution of Leading Digits 1 2 3 4 5 6 7 8 9 0 19 2 50 361 309 10 22 24 30.1% 17.6% 12.5% 9.7% 7.9% 6.7% 5.8% 5.1% 4.6% Determine the null and alternative hypotheses. Ho The leading digits are from a population that conforms to Benford's law. H₁: At least one leading digit has a frequency that does not conform to Benford's law. Calculate the test statistic, x². x² = (Round to three…arrow_forward3. Solve the Heat Equation with Initial and Boundary Conditions Turn to page 71 for the heat equation problem. Solve the partial differential equation using Fourier series or another suitable method, given the initial and boundary conditions. Link: [https://drive.google.com/file/d/1RQ2OZK-LSxpRyejKEMg1t2q15dbpVLCS/view? usp=sharing] Provide all derivations and intermediate steps.arrow_forward
- Name: Tay Jones Level Two Date: Algebra 3 Unit 3: Functions and Equations Practice Assessment Class: #7-OneNote 1. The function f(x) = x² is transformed in the following functions. List the vertex for each function, circle whether the function opens up or down, and why. All three parts must be correct to receive Level 2 points. You can receive points for a, b, and c. a) g(x) = -2(x+5)² Vertex: Opens Up Opens Down Why? ais negative -2 Vertex: b) g(x) = (x + 2)² - 3 c) g(x) = -4(x + 2)² + 2 Opens Up Opens Down Vertex: Opens Up Opens Down Why? 4 Ca is negative) Why? his positive 2. The graph of the function f(x) is shown below. Find the domain, range, and end behavior. Then list the values of x for which the function values are increasing and decreasing. f(x) Domain: End Behavior: As x → ∞o, f(x) -> -6 As x, f(x) -> Range: Where is it Increasing? (002] Where is it Decreasing? (1,00)arrow_forwardFor the distribution drawn here, identify the mean, median, and mode. Question content area bottom Part 1 A. Aequalsmode, Bequalsmedian, Cequalsmean B. Aequalsmode, Bequalsmean, Cequalsmedian C. Aequalsmedian, Bequalsmode, Cequalsmean D. Aequalsmean, Bequalsmode, Cequalsmedianarrow_forwardQ3: Define the linear functional J: H₁(2) R by ¡(v) = a(v, v) - L(v) Л Let u be the unique weak solution to a(u,v) = L(v) in H(2) and suppose that a(...) is a symmetric bilinear form on H(2) prove that 1- u is minimizer. 2- u is unique. 3- The minimizer J(u) can be rewritten under 1(u) = u Au-ub, algebraic form 1 2 Where A, b are repictively the stiffence matrix and the load vector Q4: A) Answer 1- show that the solution to -Au = f in A, u = 0 on a satisfies the stability Vullfll and show that ||V(u u)||||||2 - ||vu||2 2- Prove that Where lu-ul Chuz - !ull = a(u, u) = Vu. Vu dx + fu. uds B) Consider the bilinea forta Л a(u, v) = (Au, Av) (Vu, Vv + (Vu, v) + (u,v) Show that a(u, v) continues and V- elliptic on H(2)arrow_forward
- 2. Classify the Stability of Fixed Points in a Dynamical System The dynamical system problem is located on page 60 of the file. Identify the fixed points and classify their stability using linearization and eigenvalues. Link: [https://drive.google.com/file/d/1RQ2OZk-LSxpRyejKEMg1t2q15dbpVLCS/view? usp=sharing] Provide a detailed explanation of your analysis.arrow_forwardEvaluate the Z-Transform of the Sequence The Z-transform problem is provided on page 70. Compute the Z-transform of the given sequence and determine the region of convergence. Link: [https://drive.google.com/file/d/1RQ2OZK-LSxpRyejKEMg1t2q15dbpVLCS/view? usp=sharing] Show all steps and provide detailed reasoning.arrow_forward7. Apply Green's Theorem to Evaluate the Line Integral Check page 55 for the Green's theorem problem. Use Green's theorem to convert a line integral into a double integral and compute the result. Link: [https://drive.google.com/file/d/1RQ2OZK-LSxp RyejKEMg1t2q15dbpVLCS/view? usp=sharing] Provide a detailed explanation and calculation.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
Discrete Mathematics and Its Applications ( 8th I...
Math
ISBN:9781259676512
Author:Kenneth H Rosen
Publisher:McGraw-Hill Education
Mathematics for Elementary Teachers with Activiti...
Math
ISBN:9780134392790
Author:Beckmann, Sybilla
Publisher:PEARSON
Thinking Mathematically (7th Edition)
Math
ISBN:9780134683713
Author:Robert F. Blitzer
Publisher:PEARSON
Discrete Mathematics With Applications
Math
ISBN:9781337694193
Author:EPP, Susanna S.
Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
Use of ALGEBRA in REAL LIFE; Author: Fast and Easy Maths !;https://www.youtube.com/watch?v=9_PbWFpvkDc;License: Standard YouTube License, CC-BY
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY