MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE
11th Edition
ISBN: 9781323751671
Author: Lial
Publisher: PEARSON C
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Chapter 13.5, Problem 6E
To determine
To calculate: The value of provided definite integrals
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(c) Describe the distribution plan and show the total distribution cost.
Optimal Solution
Amount
Cost
$ 2000
Southern-Hamilton
200
Southern-Butler
$
Southern-Clermont
300
4500
Northwest-Hamilton
200
$2400
Northwest-Butler
200
$3000
Northwest-Clermont
$
Total Cost
ક
(d) Recent residential and industrial growth in Butler County has the potential for increasing demand by 100 units.
(i) Create an updated distribution plan assuming Southern Gas becomes the preferred supplier.
Distribution Plan with Southern Gas
Amount
Southern-Hamilton
$
Cost
×
Southern-Butler
x
$
Southern-Clermont
300
$ 4500
Northwest-Hamilton
64
x
Northwest-Butler
$
×
Northwest-Clermont 0
$0
Total Cost
$
(ii) Create an updated distribution plan assuming Northwest Gas becomes the preferred supplier.
Distribution Plan with Northwest Gas
Southern-Hamilton
Southern-Butler
0
Southern-Clermont
Northwest-Hamilton
Northwest-Butler
Northwest-Clermont
Total Cost
Amount
×
x
x
+7
$0
Cost
×
$
×
$
×
+4
$
-/+
$
×
×
The distribution system for the Herman Company consists of three plants, two warehouses, and four customers. Plant capacities and shipping costs per unit (in $) from each plant to each warehouse are as follows.
Warehouse
Plant
Capacity
1
2
1
4
7
450
2
8
5
600
3
5
6
380
Customer demand and shipping costs per unit (in $) from each warehouse to each customer are as follows.
Customer
Warehouse
1
2 3
1
6
4
8
2
3
6
7
7
Demand
300 300 300 400
(a) Develop a network representation of this problem. (Submit a file with a maximum size of 1 MB.)
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(b) Formulate a linear programming model of the problem. (Let Plant 1 be node 1, Plant 2 be node 2, Plant 3 be node 3, Warehouse 1 be node 4, Warehouse 2 be node 5, Customer 1 be node 6, Customer 2 be node 7, Customer 3 be node 8, and Customer 4 be node 9. Express your answers in the form x;;, where x,; represents the number of units shipped from
node i to node j.)
Min 4x14+8x24+5x34+7x15 +5x25…
A linear programming computer package is needed.
Hanson Inn is a 96-room hotel located near the airport and convention center in Louisville, Kentucky. When a convention or a special event is in town, Hanson increases its normal room rates and takes reservations based on a revenue management system. A large profesional organization has scheduled its annual convention in Louisville for the first weekend in June. Hanson Inn agreed to make at least 50% of its
rooms available for convention attendees at a special convention rate in order to be listed as a recommended hotel for the convention. Although the majority of attendees at the annual meeting typically request a Friday and Saturday two-night package, some attendees may select a Friday night only or a Saturday night only reservation. Customers not attending the convention may also request a Friday and
Saturday two-night package, or make a Friday night only or Saturday night only reservation. Thus, six types of reservations are…
Chapter 13 Solutions
MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE
Ch. 13.1 - Checkpoint 1
Find an antiderivative for each of...Ch. 13.1 - Checkpoint 2
Find each of the...Ch. 13.1 - Prob. 3CPCh. 13.1 - Prob. 4CPCh. 13.1 - Prob. 5CPCh. 13.1 - Prob. 6CPCh. 13.1 - Prob. 7CPCh. 13.1 - Checkpoint 8
The marginal cost at a level of...Ch. 13.1 - 1. What must be true of F(x) and G(x) if both are...Ch. 13.1 - 2. How is the antiderivative of a function related...
Ch. 13.1 - 3. In your own words, describe what is meant by an...Ch. 13.1 - 4. Explain why the restriction is necessary in...Ch. 13.1 - Prob. 5ECh. 13.1 - Prob. 6ECh. 13.1 - Prob. 7ECh. 13.1 - Find each of the given antiderivatives. (See...Ch. 13.1 - Prob. 9ECh. 13.1 - Prob. 10ECh. 13.1 - Prob. 11ECh. 13.1 - Prob. 12ECh. 13.1 - Prob. 13ECh. 13.1 - Prob. 14ECh. 13.1 - Prob. 15ECh. 13.1 - Find each of the given antiderivatives. (See...Ch. 13.1 - Prob. 17ECh. 13.1 - Prob. 18ECh. 13.1 - Prob. 19ECh. 13.1 - Prob. 20ECh. 13.1 - Prob. 21ECh. 13.1 - Prob. 22ECh. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.1 - Prob. 27ECh. 13.1 - Find each of the given antiderivatives. (See...Ch. 13.1 - Find each of the given antiderivatives. (See...Ch. 13.1 - Prob. 30ECh. 13.1 - Prob. 31ECh. 13.1 - Prob. 32ECh. 13.1 - Prob. 33ECh. 13.1 - Prob. 34ECh. 13.1 - Prob. 35ECh. 13.1 - Prob. 36ECh. 13.1 - Prob. 37ECh. 13.1 - Prob. 38ECh. 13.1 - Prob. 39ECh. 13.1 - Find each of the given antiderivatives. (See...Ch. 13.1 - Prob. 41ECh. 13.1 - Prob. 42ECh. 13.1 - 43. Find the equation of the curve whose tangent...Ch. 13.1 - 44. The slope of the tangent line to a curve is...Ch. 13.1 - Prob. 45ECh. 13.1 - Work the given problems. (See Examples 8 and 10.)...Ch. 13.1 - 47. NVIDIA Stock The semiconductor corporation...Ch. 13.1 - Prob. 48ECh. 13.1 - Work the given problems. (See Example...Ch. 13.1 - Work the given problems. (See Example...Ch. 13.1 - Prob. 51ECh. 13.1 - Prob. 52ECh. 13.1 - Prob. 53ECh. 13.1 - Prob. 54ECh. 13.1 - Prob. 55ECh. 13.1 - Prob. 56ECh. 13.1 - Prob. 57ECh. 13.1 - Prob. 58ECh. 13.2 - Checkpoint 1
Find du for the given...Ch. 13.2 - Prob. 2CPCh. 13.2 - Prob. 3CPCh. 13.2 - Prob. 4CPCh. 13.2 - Checkpoint 5
Find the given...Ch. 13.2 - Prob. 6CPCh. 13.2 - Prob. 7CPCh. 13.2 - Prob. 8CPCh. 13.2 - 1. Integration by substitution is related to what...Ch. 13.2 - 2. For each of the given integrals, decide what...Ch. 13.2 - Prob. 3ECh. 13.2 - Use substitution to find the given indefinite...Ch. 13.2 - Use substitution to find the given indefinite...Ch. 13.2 - Prob. 6ECh. 13.2 - Prob. 7ECh. 13.2 - Prob. 8ECh. 13.2 - Prob. 9ECh. 13.2 - Prob. 10ECh. 13.2 - Prob. 11ECh. 13.2 - Prob. 12ECh. 13.2 - Prob. 13ECh. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Use substitution to find the given indefinite...Ch. 13.2 - Prob. 17ECh. 13.2 - Prob. 18ECh. 13.2 - Prob. 19ECh. 13.2 - Prob. 20ECh. 13.2 - Prob. 21ECh. 13.2 - Prob. 22ECh. 13.2 - Prob. 23ECh. 13.2 - Use substitution to find the given indefinite...Ch. 13.2 - Prob. 25ECh. 13.2 - Prob. 26ECh. 13.2 - Prob. 27ECh. 13.2 - Prob. 28ECh. 13.2 - Prob. 29ECh. 13.2 - Prob. 30ECh. 13.2 - Prob. 31ECh. 13.2 - Prob. 32ECh. 13.2 - Use substitution to find the given indefinite...Ch. 13.2 - Prob. 34ECh. 13.2 - Prob. 35ECh. 13.2 - Prob. 36ECh. 13.2 - Prob. 37ECh. 13.2 - Prob. 38ECh. 13.2 - Prob. 39ECh. 13.2 - Prob. 40ECh. 13.2 - Work these problems. Round the constant C to two...Ch. 13.2 - Prob. 42ECh. 13.2 - 43. Bicycle Shops The rate of change of the number...Ch. 13.2 - Prob. 44ECh. 13.2 - 45. Marginal Revenue The marginal revenue (in...Ch. 13.2 - Prob. 46ECh. 13.2 - Work these problems. Round the constant C to two...Ch. 13.2 - 48. Human Resources For Nike Inc., the rate of...Ch. 13.3 - Checkpoint 1 Find the antiderivative xe7xdx.Ch. 13.3 - Prob. 2CPCh. 13.3 - Prob. 3CPCh. 13.3 - Prob. 4CPCh. 13.3 - Prob. 5CPCh. 13.3 - Prob. 6CPCh. 13.3 - Prob. 1ECh. 13.3 - Prob. 2ECh. 13.3 - Find the given indefinite integrals. State whether...Ch. 13.3 - Find the given indefinite integrals. State whether...Ch. 13.3 - Prob. 5ECh. 13.3 - Find the given indefinite integrals. State whether...Ch. 13.3 - Prob. 7ECh. 13.3 - Prob. 8ECh. 13.3 - Prob. 9ECh. 13.3 - Find the given indefinite integrals. State whether...Ch. 13.3 - Prob. 11ECh. 13.3 - Prob. 12ECh. 13.3 - Prob. 13ECh. 13.3 - Prob. 14ECh. 13.3 - Prob. 15ECh. 13.3 - Prob. 16ECh. 13.3 - Prob. 17ECh. 13.3 - Find the given indefinite integrals. State whether...Ch. 13.3 - Find the given indefinite integrals. State whether...Ch. 13.3 - Prob. 20ECh. 13.3 - Prob. 21ECh. 13.3 - Prob. 22ECh. 13.3 - Prob. 23ECh. 13.3 - Prob. 24ECh. 13.3 - Prob. 25ECh. 13.3 - Find each indefinite integral. (See Example 4.)...Ch. 13.3 - Prob. 27ECh. 13.3 - Prob. 28ECh. 13.3 - Prob. 29ECh. 13.3 - Find each indefinite integral. (See Example 4.)...Ch. 13.3 - Prob. 31ECh. 13.3 - Find each indefinite integral. (See Example 4.)...Ch. 13.3 - Prob. 33ECh. 13.3 - Prob. 34ECh. 13.3 - Prob. 35ECh. 13.3 - Prob. 36ECh. 13.3 - Velocity Work these exercises. (See Example...Ch. 13.3 - Velocity Work these exercises. (See Example 5.) A...Ch. 13.3 - Prob. 39ECh. 13.3 - Prob. 40ECh. 13.3 - Prob. 41ECh. 13.3 - Velocity Work these exercises. (See Example 5.)...Ch. 13.3 - Prob. 43ECh. 13.3 - Prob. 44ECh. 13.3 - Prob. 45ECh. 13.3 - Work these exercises (See Example 6.) Total...Ch. 13.3 - Prob. 47ECh. 13.3 - Prob. 48ECh. 13.3 - Work these exercises (See Example 6.)
49. Pharmacy...Ch. 13.3 - Work these exercises (See Example...Ch. 13.4 - Checkpoint 1
Use figure 13.3 to estimate the...Ch. 13.4 - Prob. 2CPCh. 13.4 - Checkpoint 5
If the marginal revenue from selling...Ch. 13.4 - Prob. 1ECh. 13.4 - In Exercises 1–4, estimate the required areas by...Ch. 13.4 - Prob. 3ECh. 13.4 - In Exercises 1–4, estimate the required areas by...Ch. 13.4 - 5. Explain the difference between an indefinite...Ch. 13.4 - 6. Complete the following statement:
where
Ch. 13.4 - Prob. 7ECh. 13.4 - Approximate the area under each curve and above...Ch. 13.4 - Approximate the area under each curve and above...Ch. 13.4 - Approximate the area under each curve and above...Ch. 13.4 - Approximate the area under each curve and above...Ch. 13.4 - Approximate the area under each curve and above...Ch. 13.4 - Approximate the area under each curve and above...Ch. 13.4 - Approximate the area under each curve and above...Ch. 13.4 - 15. Find by using the formula for the area of a...Ch. 13.4 - Prob. 16ECh. 13.4 - Prob. 17ECh. 13.4 - Use the numerical integration feature on a...Ch. 13.4 - Prob. 19ECh. 13.4 - Prob. 20ECh. 13.4 - Prob. 21ECh. 13.4 - Prob. 22ECh. 13.4 - Prob. 23ECh. 13.4 - Prob. 24ECh. 13.4 - Business A marginal revenue function MR(x) (in...Ch. 13.4 - Business A marginal revenue function MR(x) (in...Ch. 13.4 - 27. Distance Traveled An insurance company...Ch. 13.4 - Prob. 29ECh. 13.4 - 30. Estimate the distance traveled by the car in...Ch. 13.4 - Prob. 28ECh. 13.5 - Checkpoint 1
Let
Find the following.
(a)
(b)
Ch. 13.5 - Prob. 2CPCh. 13.5 - Checkpoint 3
Evaluate each definite...Ch. 13.5 - Checkpoint 4
Evaluate the given...Ch. 13.5 - Checkpoint 5
Find
Ch. 13.5 - Checkpoint 6
Find each shaded area.
(a)
(b)
Ch. 13.5 - Checkpoint 7 Use the function in Example 7 to find...Ch. 13.5 - Prob. 8CPCh. 13.5 - Evaluate each of the given definite integrals....Ch. 13.5 - Evaluate each of the given definite integrals....Ch. 13.5 - Evaluate each of the given definite integrals....Ch. 13.5 - Evaluate each of the given definite integrals....Ch. 13.5 - Evaluate each of the given definite integrals....Ch. 13.5 - Prob. 6ECh. 13.5 - Evaluate each of the given definite integrals....Ch. 13.5 - Evaluate each of the given definite integrals....Ch. 13.5 - Prob. 9ECh. 13.5 - Evaluate each of the given definite integrals....Ch. 13.5 - Prob. 11ECh. 13.5 - Evaluate each of the given definite integrals....Ch. 13.5 - Prob. 13ECh. 13.5 - Evaluate each of the given definite integrals....Ch. 13.5 - Prob. 15ECh. 13.5 - Prob. 16ECh. 13.5 - Evaluate each of the given definite integrals....Ch. 13.5 - Evaluate each of the given definite integrals....Ch. 13.5 - Prob. 19ECh. 13.5 - Prob. 20ECh. 13.5 - Prob. 21ECh. 13.5 - Evaluate each of the given definite integrals....Ch. 13.5 - Prob. 23ECh. 13.5 - Prob. 24ECh. 13.5 - Prob. 25ECh. 13.5 - Prob. 26ECh. 13.5 - Prob. 27ECh. 13.5 - Prob. 28ECh. 13.5 - Prob. 29ECh. 13.5 - Prob. 30ECh. 13.5 - Prob. 31ECh. 13.5 - Prob. 32ECh. 13.5 - Find the area of each shaded region. (See Examples...Ch. 13.5 - Find the area of each shaded region. (See Examples...Ch. 13.5 - Prob. 35ECh. 13.5 - Prob. 36ECh. 13.5 - Prob. 37ECh. 13.5 - Prob. 38ECh. 13.5 - Prob. 39ECh. 13.5 - Prob. 40ECh. 13.5 - Prob. 41ECh. 13.5 - Prob. 42ECh. 13.5 - Prob. 43ECh. 13.5 - Prob. 44ECh. 13.5 - Prob. 45ECh. 13.5 - Prob. 46ECh. 13.5 - Prob. 47ECh. 13.5 - Prob. 48ECh. 13.5 - Prob. 49ECh. 13.5 - Prob. 50ECh. 13.5 - Prob. 51ECh. 13.5 - Prob. 52ECh. 13.5 - Prob. 53ECh. 13.5 - Hospital Care The expenditure rate on hospital...Ch. 13.5 - Prob. 55ECh. 13.5 - Natural Gas The rate at which natural gas was...Ch. 13.5 - Prob. 58ECh. 13.5 - Prob. 59ECh. 13.5 - Prob. 60ECh. 13.5 - Prob. 61ECh. 13.5 - Prob. 62ECh. 13.5 - Prob. 63ECh. 13.5 - Prob. 64ECh. 13.6 - Checkpoint 1
In Example 1, find the total repair...Ch. 13.6 - Prob. 2CPCh. 13.6 - Prob. 3CPCh. 13.6 - Prob. 4CPCh. 13.6 - Prob. 5CPCh. 13.6 - Prob. 6CPCh. 13.6 - Prob. 7CPCh. 13.6 - 1. A car-leasing firm must decide how much to...Ch. 13.6 - Prob. 2ECh. 13.6 - Prob. 3ECh. 13.6 - Prob. 4ECh. 13.6 - Work the given exercises. (See Examples 1 and 2.)...Ch. 13.6 - Work the given exercises. (See Examples 1 and...Ch. 13.6 - Prob. 7ECh. 13.6 - Prob. 8ECh. 13.6 - Prob. 9ECh. 13.6 - Prob. 10ECh. 13.6 - Prob. 11ECh. 13.6 - Prob. 12ECh. 13.6 - Prob. 13ECh. 13.6 - Prob. 14ECh. 13.6 - Prob. 15ECh. 13.6 - Find the area between the two curves. (See Example...Ch. 13.6 - Find the area between the two curves. (See Example...Ch. 13.6 - Find the area between the two curves. (See Example...Ch. 13.6 - Prob. 19ECh. 13.6 - Prob. 20ECh. 13.6 - Prob. 21ECh. 13.6 - Prob. 22ECh. 13.6 - Prob. 23ECh. 13.6 - 24. Natural Science A new smog-control device will...Ch. 13.6 - Prob. 25ECh. 13.6 - Prob. 26ECh. 13.6 - Prob. 27ECh. 13.6 - 28. Business The rate of expenditure (in dollars...Ch. 13.6 - Prob. 29ECh. 13.6 - 30. Natural Science Suppose that, over a 4-hour...Ch. 13.6 - Prob. 31ECh. 13.6 - Present Value Work these exercises. (See Example...Ch. 13.6 - Prob. 33ECh. 13.6 - Prob. 34ECh. 13.6 - Prob. 35ECh. 13.6 - Present Value Work these exercises. (See Example...Ch. 13.6 - Prob. 37ECh. 13.6 - Business Work the given supply-and-demand...Ch. 13.6 - Prob. 39ECh. 13.6 - Prob. 40ECh. 13.6 - Prob. 41ECh. 13.6 - Prob. 42ECh. 13.6 - Prob. 43ECh. 13.6 - Business Work the given supply-and-demand...Ch. 13.7 - Checkpoint 1 Find the particular solution in...Ch. 13.7 - Prob. 2CPCh. 13.7 - Prob. 3CPCh. 13.7 - Prob. 4CPCh. 13.7 - Prob. 5CPCh. 13.7 - Prob. 6CPCh. 13.7 - Prob. 7CPCh. 13.7 - Prob. 8CPCh. 13.7 - Find general solutions for the given differential...Ch. 13.7 - Prob. 2ECh. 13.7 - Prob. 3ECh. 13.7 - Prob. 4ECh. 13.7 - Prob. 5ECh. 13.7 - Prob. 6ECh. 13.7 - Find general solutions for the given differential...Ch. 13.7 - Prob. 8ECh. 13.7 - Prob. 9ECh. 13.7 - Prob. 10ECh. 13.7 - Prob. 11ECh. 13.7 - Prob. 12ECh. 13.7 - Find general solutions for the given differential...Ch. 13.7 - Prob. 14ECh. 13.7 - Prob. 15ECh. 13.7 - Prob. 16ECh. 13.7 - Prob. 17ECh. 13.7 - Prob. 18ECh. 13.7 - Prob. 19ECh. 13.7 - Prob. 20ECh. 13.7 - Prob. 21ECh. 13.7 - Prob. 22ECh. 13.7 - Prob. 23ECh. 13.7 - Prob. 24ECh. 13.7 - Prob. 25ECh. 13.7 - Prob. 26ECh. 13.7 - Prob. 27ECh. 13.7 - Find particular solutions for the given equations....Ch. 13.7 - Prob. 29ECh. 13.7 - Prob. 30ECh. 13.7 - Find particular solutions for the given equations....Ch. 13.7 - Prob. 32ECh. 13.7 - Prob. 33ECh. 13.7 - Prob. 34ECh. 13.7 - 35. Business The marginal productivity of a...Ch. 13.7 - Prob. 36ECh. 13.7 - Prob. 37ECh. 13.7 - Prob. 38ECh. 13.7 - Prob. 39ECh. 13.7 - Prob. 40ECh. 13.7 - 41. Business Sales of a particular product have...Ch. 13.7 - Prob. 42ECh. 13.7 - Prob. 43ECh. 13.7 - Prob. 44ECh. 13.7 - Prob. 45ECh. 13.7 - Prob. 46ECh. 13.7 - Prob. 47ECh. 13.7 - Prob. 48ECh. 13.7 - Prob. 49ECh. 13.7 - Prob. 50ECh. 13 - Prob. 1RECh. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Prob. 13RECh. 13 - Prob. 14RECh. 13 - Prob. 15RECh. 13 - Prob. 16RECh. 13 - Prob. 17RECh. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Prob. 20RECh. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - Prob. 23RECh. 13 - Prob. 24RECh. 13 - Prob. 25RECh. 13 - Prob. 26RECh. 13 - Prob. 27RECh. 13 - Prob. 28RECh. 13 - Prob. 29RECh. 13 - Prob. 30RECh. 13 - Prob. 31RECh. 13 - Prob. 32RECh. 13 - Prob. 33RECh. 13 - Prob. 34RECh. 13 - Prob. 36RECh. 13 - Prob. 37RECh. 13 - Prob. 38RECh. 13 - Prob. 39RECh. 13 - Prob. 40RECh. 13 - Prob. 41RECh. 13 - Prob. 42RECh. 13 - Prob. 43RECh. 13 - Prob. 44RECh. 13 - Prob. 45RECh. 13 - Prob. 46RECh. 13 - Prob. 47RECh. 13 - Prob. 48RECh. 13 - Prob. 49RECh. 13 - Prob. 50RECh. 13 - Prob. 51RECh. 13 - Prob. 52RECh. 13 - Prob. 53RECh. 13 - Prob. 55RECh. 13 - Prob. 56RECh. 13 - Prob. 59RECh. 13 - Prob. 60RECh. 13 - Prob. 61RECh. 13 - Prob. 62RECh. 13 - Prob. 63RECh. 13 - Prob. 54RECh. 13 - Prob. 69RECh. 13 - Prob. 35RECh. 13 - Prob. 57RECh. 13 - Prob. 58RECh. 13 - Prob. 71RECh. 13 - Prob. 64RECh. 13 - Prob. 65RECh. 13 - Prob. 66RECh. 13 - Prob. 67RECh. 13 - Prob. 68RECh. 13 - Prob. 75RECh. 13 - Prob. 77RECh. 13 - Prob. 78RECh. 13 - Work the given exercises. Population Growth The...Ch. 13 - Prob. 73RECh. 13 - Prob. 74RECh. 13 - Prob. 76RECh. 13 - Prob. 79RECh. 13 - Prob. 80RECh. 13 - Prob. 81RECh. 13 - Prob. 82RECh. 13 - Prob. 83RECh. 13 - Prob. 84RECh. 13 - Prob. 85RECh. 13 - Prob. 86RECh. 13 - Prob. 87RECh. 13 - Prob. 88RECh. 13 - Prob. 89RECh. 13 - Prob. 90RECh. 13 - Prob. 1CECh. 13 - Prob. 2CECh. 13 - Prob. 3CECh. 13 - Prob. 4CE
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Propositional Logic - Discrete math; Author: Charles Edeki - Math Computer Science Programming;https://www.youtube.com/watch?v=rL_8y2v1Guw;License: Standard YouTube License, CC-BY
DM-12-Propositional Logic-Basics; Author: GATEBOOK VIDEO LECTURES;https://www.youtube.com/watch?v=pzUBrJLIESU;License: Standard Youtube License
Lecture 1 - Propositional Logic; Author: nptelhrd;https://www.youtube.com/watch?v=xlUFkMKSB3Y;License: Standard YouTube License, CC-BY
MFCS unit-1 || Part:1 || JNTU || Well formed formula || propositional calculus || truth tables; Author: Learn with Smily;https://www.youtube.com/watch?v=XV15Q4mCcHc;License: Standard YouTube License, CC-BY