The equation of the tangent line at point P is: y = 4x - 2.
Given function y = 2x² and point P(1, 2).
To find the equation of the tangent line at point P, we need to find the slope of the tangent line which can be obtained by finding the derivative of the function at point P.
d/dx[2x²] = 4x
Now, plug the value of x = 1 in the above derivative to find the slope at point P.
m = 4(1) = 4
The equation of the tangent line at point P is:y = mx + c
where m is the slope at point P, and c is the y-intercept of the tangent line.
Now, substitute the values of m, x, and y from the point P(1, 2) in the above equation to find the value of c.2 = 4(1) + c2 - 4 = cc = -2
Therefore, the equation of the tangent line at point P is: y = 4x - 2.
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Given that TS is a midsegment of PQR, find x
A. 5
B.9
C.10
D.13
Answer:
a. 5
i need to write 20 characters.
Nicole sold t-shirts at a festival and made a profit of $83. She made $5 for each t-shirt she sold. Her total expenses were $22. How many t-shirts did she sell?
Answer:
21
Step-by-step explanation:
83+22=105
105/5=21
Miss McKee has 1,183 gold stickers. She wants to give the same number of stickers to each of her 30 students. If she gives away as many stickers as she can, how many stickers will be left over?
Answer:
If she gives away as many stickers as she can, stickers left = 13
Step-by-step explanation:
Total number of gold stickers = 1183
Total number of students = 30
So, each student will get = \(\frac{1183}{30}\) = 39.433
As the gold stickers cannot be given in integer form
So , each student get 39 stickers.
So, 30 students get = 30×39 = 1170
So Left over stickers = 1183 - 1170 = 13
What are the solutions of x2 – 2x+5 = 0 ?
Answer:
It is D
Step-by-step explanation:
Please mark me brianlyest
Answer:
letter c
Step-by-step explanation:
correct me if i'm wrong
what is the ratio of football equipment to baseball equipment
tha ratio is
15 +21 : 20 + 10 + 42 and simplified is 36 : 72 = 1 : 2
answer: the first one
Can somebody trade lease help me I’m late on my work in school
The slopes for each couple of points are summarized below:
m = 2 / 3 m = - 3 / 4 m = - 2 m = Undefined m = 4 m = 0 m = 1 m = - 2 m = Undefined m = 4 / 3 m = - 2 / 7 m = 0 x = 6 y = 6 x = 11How to understand slopes in lines
Geometrically speaking, slopes in lines indicates the grade of steepness of the line itself. The slope of the line can be determine by knowning the coordinates of two distinct points set on Cartesian plane and using the secant line formula, whose definition is shown below:
m = Δy / Δx
Where:
m - SlopeΔx - Change in independent variable.Δy - Change in dependent variable.Now we proceed to answer on each case:
Case 1
m = [3 - (- 1)] / [3 - (- 3)]
m = 4 / 6
m = 2 / 3
Case 2
m = (- 2 - 1) / [2 - (- 2)]
m = - 3 / 4
Case 3
m = [2 - (- 4)] / [- 4 - (- 1)]
m = 6 / (- 3)
m = - 2
Case 4
m = Undefined, as Δx = 0.
Case 5
m = [3 - (- 1)] / (3 - 2)
m = 4
Case 6
m = 0, as Δy = 0
Case 7
m = (6 - 9) / (1 - 4)
m = - 3 / (- 3)
m = 1
Case 8
m = [- 5 - (- 1)] / [- 2 - (- 4)]
m = - 4 / 2
m = - 2
Case 9
m = (- 9 - 3) / (5 - 5)
m = - 12 / 0
m = Undefined
Case 10
m = (9 - 1) / (8 - 2)
m = 8 / 6
m = 4 / 3
Case 11
m = [- 6 - (- 8)] / (7 - 14)
m = 2 / (- 7)
m = - 2 / 7
Case 12
m = [- 3 - (- 3)] / (8 - 4)
m = 0 / 4
m = 0
Case 13
[8 - (- 4)] / (2 - x) = - 3
12 = - 3 · (2 - x)
12 = - 6 + 3 · x
18 = 3 · x
x = 6
Case 14
(4 - y) / (3 - 10) = - 2 / 7
(4 - y) / (- 7) = - 2 / 7
4 - y = - 2
y = 6
Case 15
(4 - 1) / (x - 7) = 3 / 4
3 / (x - 7) = 3 / 4
x - 7 = 4
x = 11
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is -5 and -18 < > or = to
Answer:
-5 > -18
Step-by-step explanation:
The lower the negative number the higher it's value
Which of the following statements is not true about the profit business model?
Choose the incorrect statement below.
A.If a product costs $A to produce and has fixed costs of $B, then the cost function can be represented by C(x)=Ax+B.
B.The profit function can be represented by P(x)=R(x)−C(x).
C.Ideally, the cost will be less than the revenue.
D.The revenue is always more than the cost.
"The revenue is always more than the cost," is the incorrect statement in relation to the profit business model. It is untrue that the revenue is always greater than the cost since the cost of manufacturing and providing the service must be considered as well.
The profit business model is a business plan that helps a company establish how much income they expect to generate from sales after all expenses are taken into account. It outlines the strategy for acquiring customers, establishing customer retention, developing the sales process, and setting prices that enable the business to make a profit.
It is important to consider that the company will only make a profit if the total revenue from sales is greater than the expenses. The cost of manufacturing and providing the service must be considered as well. The revenue from selling goods is reduced by the cost of producing those goods.
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WILL GIVE BRAINLIEST!
If Triangle ABC ≈ Triangle DBE, find the value of x.
Answer:
x = 49
Step-by-step explanation:
The sum of angles in a triangle add up to 180°.
∠CBA = ∠EBD (Vertically opposite angles are equal)
= 52°
Since in the triangle DBE, you already know two of the angles, you can find ∠BDE which is equal to ∠CAB (x + 9)°.
∠BDE = 180° - 70° - 52°
= 58°
∠BDE = ∠CAB
= ∠(x + 9)°
= 58°
x + 9 = 58
x = 58 - 9
x = 49
I have multiple questions:
1: 2/3÷4/5
2: 2 1/9÷2/3
3: 3/5÷1 1/4
Answer:
1: 5/6
2: 3 1/6
3: 12/25
hope this helps!!
p.s
comment if wrong
suppose the null hypothesis, h0, is: a weightlifting bar can withstand weights of 800 pounds and less. and the alternative hypothesis, ha, is: a weightlifting bar can withstand weights of more than 800 pounds.
Based on the provided information, the Type 1 error is that you conclude the weightlifting bar can withstand weights of greater than 800 pounds when, in fact, the weightlifting bar can withstand weights of less than or equal to 800 pounds. (Option C)
In statistical hypothesis testing, a Type I error refers to the rejection of null hypothesis when it's actually true while a type II error is the failure to reject a null hypothesis that is actually false. Type I error means to conclude that results are statistically significant when, in actuality they are caused purely by chance or because of unrelated factors. The risk of committing this error is the significance level (alpha or α) chosen. As the null hypothesis states that weightlifting bar can withstand weights of 800 pounds or less while alternative hypothesis states that weightlifting bar can withstand weights of over 800 pounds, the type I error would be to conclude that weightlifting bar can withstand weights of greater than 800 pounds when, in fact, it cannot.
Note: The question is incomplete. The complete question probably is: Suppose the null hypothesis, H0, is a weightlifting bar that can withstand weights of 800 pounds and less. The alternative hypothesis, Ha, is a weightlifting bar can withstand weights greater than 800 pounds. What is the Type 1 error in this scenario? Select the correct answer below: A) You cannot conclude the weightlifting bar can withstand weights of greater than 800 pounds when, in fact, the weightlifting bar can withstand weights of greater than 200 pounds B) You cannot conclude the weightlifting bar can withstand weights of greater than 800 pounds when, in fact, the weightlifting bar can withstand weights of less than or equal to 800 pounds. C) You conclude the weightlifting bar can withstand weights of greater than 800 pounds when, in fact, the weightlifting bar can withstand weights of less than or equal to 800 pounds. D) You conclude the weightlifting bar can withstand weights of greater than 100 pounds when, in fact, the weightlifting bar can withstand weights of greater than 800 pounds.
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How far has a car traveled in 4 hours if it is constantly moving at 60 miles / hour? a. 4 miles. b. 240 miles. c. 60 miles. d. 64 miles.
The car has traveled 240 miles in 4 hours. The correct answer is option b.
To calculate the distance traveled by the car, we can use the formula:
Distance = Speed * Time
In this case, the speed of the car is given as 60 miles/hour, and the time is given as 4 hours. Plugging these values into the formula, we get:
Distance = 60 miles/hour * 4 hours = 240 miles
Therefore, the car has traveled 240 miles in 4 hours.
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Answer this easy geometry question
Answer:
1684.8 cubic units
Step-by-step explanation:
In oblique cylinder the height (altitude) is measured from the opposite base to the base of the cylinder, but it lies outside. We can find the height using Pythagoras theorem.
h + 7² = 13²
h²= 169 - 49
h² = 120
h = √120
h = 10.95 units
radius = r = 7 units
\(\boxed{\text{\bf Volume of oblique cylinder = $\bf\pi r^2h$} }\)
= 3.14 * 7 * 7 * 10.95
= 1684.8 cubic units
Find the distance between X and Y.
2730
A.
В.
C.
D.
-11
10
11
12
Please select the best answer from the choices provided
Ο Α
OB
О С
OD
Answer:
11 is the correct answer
Step-by-step explanation:
21-10
I’ll give brainliest. Pl help me
Answer:
A student who has many absences has a decrease in grades.
Step-by-step explanation:
notación científica 9.7 x 10⁷ 4.73 x 10⁴7.4 x 10⁴3.18 x 10-¹⁰2 x 10-³5 x 10⁶
Find the absolute maximum and minimum values off on the given closed interval, and state where those values occur. f(x) = 2x³ + 9x² - 24x: [-5, 2] An absolute minimum value of ! occurs at x = An absolute maximum value of ! occurs at x =
The absolute maximum and minimum values of the function f(x) = 2x³ + 9x² - 24x on the closed interval [-5, 2] can be found by evaluating the function at the critical points and endpoints of the interval. Therefore, the absolute minimum value of f(x) occurs at x = -5, and the absolute maximum value of f(x) occurs at x = -4.
To find the critical points, we need to determine where the derivative of the function is equal to zero or does not exist. Taking the derivative of f(x), we get f'(x) = 6x² + 18x - 24. Setting f'(x) equal to zero and solving for x, we find the critical points to be x = -4 and x = 1.
Next, we evaluate the function at the critical points and the endpoints of the interval.
f(-5) = 2(-5)³ + 9(-5)² - 24(-5) = -625
f(-4) = 2(-4)³ + 9(-4)² - 24(-4) = 80
f(1) = 2(1)³ + 9(1)² - 24(1) = -13
f(2) = 2(2)³ + 9(2)² - 24(2) = 12
From these evaluations, we can see that the absolute minimum value of f(x) is -625 and occurs at x = -5, while the absolute maximum value of f(x) is 80 and occurs at x = -4.
Therefore, the absolute minimum value of f(x) occurs at x = -5, and the absolute maximum value of f(x) occurs at x = -4.
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What single transformation was applied to quadrilateral A to get to quadrilateral B?
Answer:
The correct answer is translation
Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? Explain. (PLEASE HURRY ITS TIMED!)
Answer:
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees. Vertical angles are two angles opposite from each other and those two angles are then equal.
Step-by-step explanation:
For example, if you took your typical graph with four quadrants your lines would intersect. The linear pairs are equal to 180 and the vertical angles are equal.
Find the standard form of the equation of the hyperbola with vertices (0, +7) and asymptotes y = +-7/5x.
The equation of the hyperbola is y²/49 - x²/25 = 1
Given that the vertex of a hyperbola is (0, 7), (0, -7) and the asymptotes are at y = ±7x/5,
We need to find the equation of the hyperbola,
For the vertical transverse axis consider an equation of the hyperbola :
(y-k)²/a² - (x-h)²/b² = 1
Comparing the points,
h = 0,
k + a = 7
k - a = -7
So,
k = 0
So,
a = 7
The formula for the equation of the asymptotes of a hyperbola =
y-k = ±a/b (x-h)
Therefore,
y-0 = ±7/b(x-0)
y = ±7/b
The given equation of asymptotes is y = ±7/5,
Comparing both,
7/b = 7/5
b = 5
Put the values in the standard equation of the hyperbola,
(y-0)²/7² - (x-0)²/5² = 1
y²/49 - x²/25 = 1
Hence the equation of the hyperbola is y²/49 - x²/25 = 1
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The total cost (in dollars) of manufacturing x auto body frames is C(x) = 40,000 + 900x. (A) Find the average cost per unit if 100 frames are produced. (B) Find the marginal average cost at a production level of 100 units. (C) Use the results from parts (A) and (B) to estimate the average cost per frame if 101 frames are produced. (A) If 100 frames are produced, the average cost is $ per frame. (B) The marginal average cost at a production level of 100 units is $ per frame. (Round to the nearest cent as needed.) (C) Using the results from parts (A) and (B), the estimate of the average cost per frame if 101 frames are produced is $ (Round to the nearest cent as needed.)
A. The average cost per frame if 100 frames are produced is $1,300.
B. The marginal average cost is $900 per frame.
C. The estimated average cost per frame if 101 frames are produced is $2,200.
(A) To find the average cost per unit if 100 frames are produced, we need to divide the total cost by the number of units produced.
C(x) = 40,000 + 900x
C(100) = 40,000 + 900(100)
C(100) = 130,000
The total cost of producing 100 frames is $130,000.
To find the average cost per frame, we divide the total cost by the number of frames produced:
Average Cost = Total Cost / Number of Frames
Average Cost = $130,000 / 100
Average Cost = $1,300
Therefore, the average cost per frame if 100 frames are produced is $1,300.
(B) To find the marginal average cost at a production level of 100 units, we need to find the derivative of the cost function:
C(x) = 40,000 + 900x
C'(x) = 900
The marginal average cost is the derivative of the cost function, so at a production level of 100 units, the marginal average cost is $900 per frame.
(C) To estimate the average cost per frame if 101 frames are produced, we can use the information from parts (A) and (B).
If the average cost per frame for 100 frames is $1,300, and the marginal average cost at 100 frames is $900, we can estimate the average cost per frame for 101 frames using the formula:
Average Cost = Previous Average Cost + Marginal Average Cost
Average Cost = $1,300 + $900
Average Cost = $2,200
Therefore, the estimated average cost per frame if 101 frames are produced is $2,200.
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Which of the following statements correctly describes the evidence shown by
the structures in the accompanying image?*
Whale
Frog
Porce
Bird
VARROW
O c. The human and the bat share analogous bone structures in their forelimbs
b. Only the human and the frog share homologous bone structures
a. The bat and the frog share analogous bone structures in their forelimbs
d. All the species shown share homologous structures in their forelimbs
All the species shown share analogous
ructures in
forelimbs
O
This is a required question
asap
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test?
a The test contains 4 three-point questions and 20 five-point questions.
b The test contains 10 three-point questions and 14 five-point questions.
c The test contains 14 three-point questions and 10 five-point questions.
d The test contains 20 three-point questions and 8 five-point questions.
Answer:
B
Step-by-step explanation:
\(3x+5y=100\\x+y=24\\\)
The first thing you have to do is subtract equations.
\(2x+4y=76\\x+2y=38\\\)
We know that x+y=24.
Subtract that from the equation we got now.
\(y=14\)
There are 14 5 point questions and ten 3 point questions.
70+30=100
Please give me a brainliest if it helped you!
The solution of this system indicate about the questions on the test
The test contains 10 three-point questions and 14 five-point questions.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
The system of Equation
x + y = 24......................(1)
3x + 5y = 100...................(2)
Solving equation (1) and (2) we get
3(24 - y) + 5y= 100
72 - 3y + 5y= 100
72 + 2y = 100
2y = 28
y= 14
and, x= 24 - 14
x= 10
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What is the correct accounting equation?
Assets = Liabilities + Equity
The correct accounting equation is Assets = Liabilities + Equity.
The accounting equation is a fundamental concept in accounting that represents the relationship between a company's assets, liabilities, and equity. The equation is as follows:
Assets = Liabilities + Equity
This equation states that a company's assets are equal to its liabilities plus its equity. Assets are the economic resources owned or controlled by the company, such as cash, property, inventory, and equipment. Liabilities are the company's obligations to pay debts or other financial obligations, such as accounts payable, loans, and taxes. Equity represents the residual interest in the assets of the company after deducting liabilities, and includes items such as common stock, retained earnings, and other reserves.
The accounting equation serves as the basis for the balance sheet, which is a financial statement that shows a company's assets, liabilities, and equity at a specific point in time. The balance sheet is an important tool for investors, creditors, and other stakeholders to understand the financial health and performance of a company.
The accounting equation also demonstrates the principle of double-entry accounting, which requires that every transaction have at least two equal and opposite effects on the equation. For example, if a company borrows $10,000 from a bank, its liabilities will increase by $10,000, but its assets will also increase by $10,000 (in the form of cash or another asset purchased with the loan). This ensures that the accounting equation remains balanced at all times.
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Next score the six tests (1 to 7) below from Exhibit 4.6 to your recommendation in
Q1. Write 5 to 9 lines to justify your score of each of the six tests. See an example on page 131. You need to write in six bullet points of 75 to 150 words for each test. (60 points with 10 points for each test) )
Publicity Test Score and reason
The Moral Mentor Test and reason
The Admired Observer Test and reason
The Transparency Test and reason
The Person in the Mirror Test
The Golden Rule Test
The Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated. The Publicity Test indicates that the decision has been well received and is aligned with public expectations.
- The Publicity Test is designed to assess whether the decision or action can withstand public scrutiny and be disclosed openly.
- I score this test an 8 because the decision or action in question has already been made public and received positive feedback from various stakeholders.
- The organization has been transparent in its communication, engaging with the public and addressing concerns promptly.
- The decision aligns with the organization's values and mission, which resonates positively with the public.
- The organization has effectively managed any potential negative publicity by proactively addressing criticisms and providing clear justifications for the decision.
- Overall, the Publicity Test indicates that the decision has been well received and is aligned with public expectations.
The Moral Mentor Test Score: 6
- The Moral Mentor Test evaluates the decision or action by considering whether it reflects the guidance of a wise and ethical mentor.
- I score this test a 6 because while the decision is generally ethical, there are some potential ethical dilemmas that need to be carefully addressed.
- The decision has considered the welfare of various stakeholders and adheres to legal and regulatory frameworks.
- However, there might be some moral complexities associated with certain aspects of the decision that need further evaluation.
- It is important for the organization to seek guidance from ethical experts and consider potential long-term consequences to ensure the decision aligns with the principles of a moral mentor.
- Overall, the Moral Mentor Test suggests that the decision is on the right track but requires careful ethical analysis and considerations.
The Admired Observer Test Score: 9
- The Admired Observer Test assesses whether the decision or action would be approved by an admired and objective observer.
- I score this test a 9 because the decision demonstrates a high level of integrity and is likely to be approved by an objective observer.
- The decision is aligned with industry best practices and follows ethical guidelines.
- It takes into account the interests of various stakeholders and aims to maximize positive outcomes for all parties involved.
- The decision is well-reasoned, considering both short-term and long-term implications.
- Overall, the Admired Observer Test indicates that the decision is commendable and likely to be seen as fair and ethical by an objective observer.
The Transparency Test Score: 7
- The Transparency Test evaluates whether the decision-making process is transparent and accountable.
- I score this test a 7 because while the decision-making process has been relatively transparent, there is room for improvement.
- The organization has provided some level of information and rationale behind the decision, but there may be areas where more transparency is required.
- It is essential for the organization to proactively communicate the decision, its underlying factors, and potential impacts to ensure stakeholders have a clear understanding.
- Increasing transparency can help build trust and mitigate any potential misunderstandings or mistrust.
- The Person in the Mirror Test assesses whether the decision or action aligns with the individual's values and principles.
- I score this test an 8 because the decision demonstrates alignment with the individual's values and principles.
- The decision-maker has considered the ethical implications and personal integrity while making the decision.
- The decision reflects a commitment to fairness, honesty, and accountability.
I score this test a 9 because the decision demonstrates a high level of empathy and fairness towards others.
- The decision considers the interests and well-being of various stakeholders, treating them with respect and dignity.
- It reflects a commitment to fairness, equality, and reciprocity in relationships.
- The organization has taken steps to ensure that the decision does not cause harm or disproportionately benefit any specific group.
- Overall, the Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated.
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Solve for t: 5t - 4 = 11
Answer:
t = 3
Step-by-step explanation:
5t - 4 = 11
5t - 4 + 4 = 11 + 4 (you do the plus 4 to get rid of the -4 and what you do to one side you have to do to the other.)
5t = 15
5t/5 = 15/5 (To get red of the 5 do reverse operation.)
1t = 3 simplified to
t = 3
Hope it helped (brainlyest pls) ;)
Answer:
3
Step-by-step explanation:
5t - 4 = 11
(5 x t) - 4 = 11
5 x 3 = 15
15 - 4 = 11
Please help me , thanks
Answer:
4w=25
Step-by-step explanation:
Terri's project for the Math Fair is a magnificent black box that she called a function machine. If you put 3 into her machine, the output is 8. If you put in 10, the output is 29; and if you put in 20, the output is 59. Homework help
a. What would her machine do to an input of 5? What about -1? What about x?
b. Write an equation for Terri's machine
Answer:
a) An input of 5 gives an output of 14. An input of -1 gives an output of -4.
An input of x gives an output of 3x - 1
b) y = 3x - 1
Step-by-step explanation:
The pattern is that you multiply the number by 3 then subtract 1.
3*3 - 1 = 9 - 1 = 8
10 * 3 - 1 = 30 - 1 = 29
20 * 3 - 1 = 60 - 1 = 59
So:
a)
For an input of 5,
5 * 3 - 1 = 15 - 1 = 14
For an input of -1:
-1 * 3 - 1 = -3 - 1 = -4
For an input of x:
x * 3 - 1 = 3x - 1
So the equation is
b) y = 3x - 1
where x is the input value.
A boat travels 278 km in 6 hours (with a
constant speed). How far can it travel in
2 hours (with the same speed)?
Answer:
baananananannanananan
Step-by-step explanation:
apply the karatsuba multiplication procedure for the product: 1234 x 4321. bring this 4-digit multiplication down to 1-digit multiplication and then multiply. use the method discussed in the class.
The solution of 1234 x 4321 using Karatsuba multiplication is 5332114
Given,
1234 x 4321
We have to find the solution using Karatsuba multiplication;
Karatsuba multiplication;
The first multiplication algorithm that was asymptotically quicker than the quadratic "grade school" technique was the Karatsuba algorithm. For sufficiently big n, the Schönhage-Strassen algorithm (1971) is even faster than the Toom-Cook algorithm (1963), which is a faster generalisation of Karatsuba's approach.
Here,
1234 x 4321
Lets see,
12 + 34 = 46
× × ×
43 + 21 = 64
2944 -
516 + 714 = 1230
1714
Now,
516 × 100² + 714 + 1714 x 100 = 5332114
That is,
The solution of 1234 x 4321 using Karatsuba multiplication is 5332114
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