Solve the system
u=2x-y v= 3 x+2y, for x and y in terms of u and v then find the value of Jacobian σ(x,y)/σ(u,v). Find the image under the transformation of the triangular region with the vertices (0,0) ,(2,4), and (2, -3) in the x,y plane. Sketch the transformed region in uv plane.The function for x in terms of u and v is x=?
Answers
Answer:
x = [tex]\frac{2u+v}{7}[/tex]
y = [tex]\frac{2v - 3u }{7}[/tex]
Jacobian value = 1/7
Step-by-step explanation:
Given data:
u = 2x -y
v = 3x + 2y
solving the system for x and y in terms of u and v
x = [tex]\frac{2u+v}{7}[/tex]
y = [tex]\frac{2v - 3u }{7}[/tex]
The value of the Jacobian = 1/7 ( solution attached below )
Image under the transformation of the triangular region with vertices ( 0,0) , (2,4) and (2,-3) in the x-y plane is attached below
In this exercise we have to use system and Jacobian knowledge to calculate the requested values, thus we find that:
[tex]X= \frac{2u+v}{7} \\\\Y= \frac{2v-3u}{7}\\\\J= \frac{1}{7}[/tex]
Given data as:
[tex]u = 2x -y[/tex] [tex]v = 3x + 2y[/tex]
Solving the system for x:
[tex]2u=4x-2y\\v= 3x-2y\\= 2u+v/7[/tex]
Solving the system for v:
[tex]u = 2(2u+v/7)-y\\y= 1/7(2v-3u)[/tex]
Find the value of the Jacobian:
[tex]\frac{dx}{du}= \frac{d(2u+v/7)}{du}= 2/7\\\\\frac{dv}{du}= \frac{d(2u+v/7)}{du}= 2/7[/tex]
[tex]\frac{dx}{du}= \frac{d(2v+3u/7)}{du}= -3/7\\\\\frac{dv}{du}= \frac{d(2v+3u/7)}{du}= 2/7[/tex]
Substitute the given value in equation will become:
[tex]J= 1/7[/tex]
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Related Questions
32-x=0.4(2x-7) and check
Answers
Answer:
X=58/3=19 1/3
Step-by-step explanation:
32-x=0.4(2x-7)
32-x=0.8x-2.8
32-x-0.8=-2.8
32-.18x=-2.8
-1.8x=-2.8
-1.8x=-34.8
x=58/3
In Alan"s class there are 12 boys and 13 girls what is the ratio of boys and girls
Answers
Answer:
12:13, 12 to 13
Step-by-step explanation:
Find the measure of the missing angles. Both of them is wrong. (Picture included)
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Answer: you need to add them together then add BAND D to the same expersion
Find the measure of ZACD
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Answer:
c
Step-by-step explanation:
im pretty sure
If the tax sales for the city of Los Angeles is 9.75% how much tax would you pay for an item that costs $500.000
Answers
Answer: If it is $500, the answer is $48,75. If it is $500,000, then it is $48,750
Step-by-step explanation:
Ok, so 9.75% would be 0.0975 in decimal form. You mutiply 500/500,000 by 0.0975 to get the answer.
martha accumulated $6000 in credit debt if the interest rate is 1.45 percent per year and she does not make any payments for 4 years how much will she owe on her debt in 4 years by compounding continuously
Answers
Answer:
The answer is 6087.0435
Step-by-step explanation:
6000 + 1.45% + 1.45% + 1.45% + 1.45% = 6087.0435
Answer:
6358.29
Step-by-step explanation:
This is the answer
Use the GCF and the distributive property to find the expression that is
equivalent to 36 + 48.
O A. 2(18+ 24)
B. 12(3+4)
O c. 6(6+8)
OD. 4(9+12)
Answers
O A. 2(18+ 24)
B. 12(3+4)
O c. 6(6+8)
OD. 4(9+12)
Which of the statements below is true for the following set of numbers?
20, 15, 50, 85, 75, 60
Answers
Answer:B
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
20, 15, 50, 85, 75, 60
The range is the difference between the highest value and the lowest values in the given set of numbers.
Midrange = Range ÷ 2
Option D is the correct answer.
The range of the set of numbers is 70
The midrange of the set of numbers is 35
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
20, 15, 50, 85, 75, 60
The range is the difference between the highest value and the lowest values in the given set of numbers.
Now,
The lowest value is 15
The highest value is 85
Range = 85 - 15 = 70
Midrange = 70/2 = 35
Thus,
The range of the set of numbers is 70
The midrange of the set of numbers is 35
Learn more about expressions here:
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∆ABC is dilated using a scale factor of 12 to produce ∆A'B'C'.
Select all of the statements that apply to the transformation.
m∠A > m∠A' and m∠B > m∠B'
m∠A < m∠A' and m∠B < m∠B'
m∠A = m∠A' and m∠B = m∠B'
area of △ABC < area of △A'B'C'
∆ABC ≅ ∆A'B'C'
∆ABC ~ ∆A'B'C'
Answers
Answer:
C, F.
Step-by-step explanation:
All angle measures are preserved in a dilation. And if all angle measures are preserved, it makes the triangles similar by the AA similarity theorem.
✓
Identify the graph(s) of exponential growth.
A
I only
B)
III and IV only
I and IV only
D
and IV only
Answers
Answer:
D : || ,|||, |V is the answer
An exponential function is in the form y = abˣ, where a is the initial value and b is greater than 1. Graph II, III and IV represent an exponential growth.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An exponential function is in the form y = abˣ, where a is the initial value and b is greater than 1. Graph II, III and IV represent an exponential growth.
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Please give me the correct answer.
Answers
Answer: -2
Step-by-step explanation: from the equation, -4m +6 = 14, you subtract 6 from both sides and get -4m=8, and the last step is to divide both sides by -4 and you get m=-2.
F(x)=8-3x find x when f(x)=32
Answers
Answer:
x=8
Step-by-step explanation:
F(x)=8-3x
f(x)=32
replace f(x) with 32
32=8-3x
32-8=3x
24=3x
x=24/3
x=8a small block of wood is thrown inside a container filled with water. if only half of the wood is submerged in water and displayes 2 litre of water in the container. what is the weight of the wood
Answers
Answer:
the block of wood weighs 2 liters
please someone help me
Answers
Answer:
/_FCB
Step-by-step explanation:
As, supplementry means they add up to 180°
So a straight angle = /_DCB = 180°
So /_DCF + /_x = /_DCB
So, /_x = /_FCB
So answer = /_FCB
Which equation could be represented by this model?
Answers
Answer:is there a picture I can refer to?
Step-by-step explanation:
If Anna and Tamera drive 5x - 5 hours over the four days and the plan to travel 4.5
hours each day (x = 4.5), how many hours will they drive over the four days? Note
the expression 5x - 5 represents the total time traveled.
Answers
Answer:
17.5 hours
Step-by-step explanation:
5x-5 over 4 days and the plan to travel 4.5 hours each day. WE have to find how many hours will they drive each day. Now, to find the total time pu x to 4.5 in the above expression. 5(4.5)-5
= 22 * 5-5 = 17. 5 hours over the four days of traveling
$5.36 for 20oz.?????
Answers
Answer:Unit rate is 3.7
Step-by-step explanation:if that’s what you are asking for, you were not very specific
The circle graphs show the percentage of men and women from Country X who consider owning a home an important part of adult life. Use the information to solve the problem.
a) What are the odds in favor of a man from Country X agreeing that owning a home is an important part of adult life?
b) What are the odds against of a man from Country X agreeing that owning a home is an important part of adult life?
Answers
Answer: a) 76 : 24
b) 24 : 76
Step-by-step explanation: Odds describe the possibility an event will occur, i.e., is the ratio of an event being successful with the chance of an event failing. It can be in favor or against:
Odds in favor is expressed as: [tex]favor=\frac{favorable}{unfavorable}[/tex];Odds against is expressed as: [tex]against=\frac{unfavorable}{favorable}[/tex];a) Odds in favor
[tex]favor=\frac{76/100}{24/100}[/tex]
[tex]favor=\frac{76}{24}[/tex]
or
favor = 76 : 24
Odds in favor of a man agreeing owning a house is an important part of adult life is 76 : 24.
b) Odds against
[tex]against=\frac{24/100}{76/100}[/tex]
[tex]against=\frac{24}{76}[/tex]
or
against = 24 : 76
Odds against of a man agrreing that owning a house is an important part of adult life is 24 : 76
I need helppppp pleaseeeeeee
Answers
Answer:
sorry i have no idea how to help
Step-by-step explanation:
What is Three-fourths divided by one-half?
A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 2 boxes containing one-half.
Two-thirds
1 and one-fourth
1 and one-half
3
Answers
Answer:
i think option D
Step-by-step explanation:
Answer:
1 and one-half
Step-by-step explanation:
[tex] \huge \frac{3}{4} \div \frac{1}{2} \\ \\ \huge = \frac{3}{4} \times \frac{2}{1} \\ \\ \huge = \frac{3}{2} \\ \\ \huge = 1 \frac{1}{2} [/tex]
In 1995, the price of a laser printer was 1,299. In 2002, the price of the same type of printer had dropped to 499. Find the percent of decrease
Answers
Answer:
b
Step-by-step explanation:
What is 3x3 – 11x2 – 26x + 30 divided by x – 5? 3x2 – 4x + 6 3x2 + 4x – 6 3x2 + 26x + 8 3x2 – 26x + 8
Answers
Answer:
B
Step-by-step explanation:
Answer:
B (3x^2 + 4x - 6)
Step-by-step explanation:
Correct on EDGE
Eva is picking fruit at a farm. The fees are $5 for entry to the farm, $2.50 per pound of bucom
Let B be the number of pounds of blueberries and a be the number of pounds of apples Eva picked. Which of the following expressions could represent
how much Eva pays?
A. 5(2.50 +20)
B. (2.5 + 2)(a + b) + 5
C. 2.5b + 2a + 5
D. 5 +2.50 +25
Answers
Answer:
its d
Step-by-step explanation:
Tonya said that the fraction 10/12 was in simplest form. Do you agree? Why or why not?
Answers
Answer:
NO
Step-by-step explanation:
You can reduce the fraction by dividing by 2. If you divide by 2, then you will get 5/6 which is more reduced than 10/12.
Hope this helps plz mark brainliest if correct :D
Answer:
Tonya could present the new policy to the staff face-to-face. By using this method, she can make use of slideshow presentations or any other visual aid to get the point across. She can also hear feedback and questions for clarifications immediately since she is personally introducing the policy to the staff.
Step-by-step explanation:
I hope this is what ur looking for, if not HMU and I will try my best to get u a better answer!
Have a great day! :)
If u need help with anything HMU and I got u, no points needed :)
Becky surveyed the 24 shoppers who spent the most time and money at her boutique last month. Describe why this will not result in a representative sample.
Answers
Answer:
This will not provide a representative answer because they spend more time and money than other shoppers, her survey is not broad enough to represent all customers.
Step-by-step explanation:
Melinda and her husband are purchasing a home. The cost of the home is $135,500. They will be required to pay a down payment of 25% of the purchase price and to pay closing costs of 3% of the purchase price. How much cash do they need for the down payment and closing cost?
Answers
Answer:
$37,940
Step-by-step explanation:
1. Divide $135,500 by 25%= $33,875
2. Divide $135,500 by 3%= $4065
3. Add both quotients
$33,875 + $4065
= $37940
Melinda and her husband will need $37,940 for the down payment and closing cost.
What is the total cost of a $150.00 necklace if the sales tax is 6%?
Answers
Answer:
Amount (excluding tax)$150.00
Tax (6.0%)$9.00
Amount (including tax)$159.00
Answer:
pretty sure it would be like 159.00 or something like that sorry if i was not much help
Step-by-step explanation:
i hope you have a great day sir/ma'am!!!
Half of 1/3 pan of brownies = _________ pan of brownies
Answers
Answer:
1/6 pan of brownies
Step-by-step explanation:
Seven more than the quotient of a number b and 45 is greater than 5
Answers
Answer: -90
Step-by-step explanation:
Prove lines are parallel
Answers
Answer:
its c
Step-by-step explanation:used brain and used again
