Evaluate the integral
∫10∫1ysin(x2) dxdy
by reversing the order of integration.
With order reversed,
∫ba∫dcsin(x2) dydx
where a= , b= , c= , and d= .
Evaluating the integral, ∫10∫1ysin(x2) dxdy=

Answers

Answer 1

Reversing the order of integration for the given double integral ∫10∫1ysin(x^2)[tex]dxdy[/tex] leads to the integral ∫1^0∫√y^−1y sin(x^2) dxdy. Evaluating this integral gives the value approximately equal to -0.225.

To reverse the order of integration, we need to visualize the region of integration in the x y -plane. The limits of x are from y to 1 and limits of y are from 0 to 1. So, the region of integration is a triangle with vertices at (1,0), (1,1), and (y, y) for y ranging from 0 to 1.

Now, to reverse the order of integration, we integrate with respect to x first, then y. So, the limits of x will be from √[tex]y^-1[/tex] to y , and limits of y will be from 1 to 0. Therefore, the new integral becomes ∫1^0∫√y^−1y sin(x^2) dxdy.

Evaluating this integral, we have ∫1^0∫√[tex]y^-1y sin(x^2)[/tex][tex]dxdy[/tex] = ∫1^0 [−1/2cos[tex](y^-(1/2))[/tex] + 1/2cos(y)[tex]] dy[/tex] ≈ -0.225. Therefore, the value of the given double integral is approximately -0.225.

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Related Questions

solve for x: 17/x+10 = 16/x
x=____​

Answers

Answer:

X = -1/10

Step-by-step explanation:

[tex] \frac{17}{x} - \frac{16}{x} = - 10 \\ \frac{1}{x} = - 10 \\ 1 = - 10x \\ x = \frac{1}{ - 10} [/tex]

umm what is this?????​

Answers

Answer: The correct answer is 1/2 ÷ 1/11.

Step-by-step explanation:

Answer:

1/2 ÷ 1/11 :)

Step-by-step explanation:

11/2= 5.5 and so does 1/2 ÷ 1/11

None of the other answers equal to the same amount.

1/2 ÷ 3/14= 2.3

1/2 + 1/10= 5

8/11 + 1/2= 1.45

Hope this helps! <3

Please help I do not understand it,Cos A=

Answers

40/9 alalalalalalalalalalaallaallalalaalal
9/41 it’s adjacent over hypotenuse

Jen rode her bike 15of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed?

Answers

Answer:

2.4MPH

Step-by-step explanation:

Use the principle of rate x time:

(1/5)*5=1

1 mile per 25 minutes= 2.4 mph

MARK AS BRAINLIEST

What is the equation of a line that has a slope of -5 and passes through the point (0, 2)?
y = -5x
y = 2x - 5
y = -5x + 2

Answers

Answer:

y= -5x+2 is the equation.

Answer:

y= -5x + 2

Step-by-step explanation:

y = mx + b(we will put the points of "x" and "y" into this formula)

2= -5 (0) +b( as "x" is "0" and is multiplied by "-5" it will become "0" giving us the value of "b")

2=b(finally we will substitute this answer in the formula we've written)

therefore the answer will be:

y= -5x + 2

what is this type of question called and how can i solve it?

Answers

Answer:

Total number of year pass [n] = 22 year (Approx)

Step-by-step explanation:

Given:

Beginning price of cottage [P] = $25,000

Price reduce every year [r] = 10% = 0.1

Final price [A] = $2,500

Find:

Total number of year pass [n]

Computation:

A = P[1-r]ⁿ

2,500 = 25,000[1-0.1]ⁿ

0.1 = [0.9]ⁿ

Total number of year pass [n] = 22 year (Approx)

What is this number in standard form?
(5×100)+(6×1/10)+(7×1/100)

Enter your answer in the box. (1/10 and 1/100 are fractions)

Answers

Answer:

500.61

Step-by-step explanation:

5 multiplied by 100 = 500

1/10 = 0.1, So 6 multiplied by 0.1 = 0.6

1/100 = 0.01, So 1 multiplied by 1 = 0.01

500 + 0.6 + 0.01 = 500.61

[tex](5 \times 100) + (6 \times \frac{1}{10} ) + (7 \times \frac{1}{100} )[/tex]

[tex]5 \times 100 = 500[/tex]

[tex] \frac{6}{1} \times \frac{1}{10} = \frac{6}{10} = 0.60[/tex]

[tex] \frac{7}{1} \times \frac{1}{100} = \frac{7}{100} = 0.07[/tex]

[tex]500 + 0.60 + 0.07 = 500.67[/tex]

-(2g - 4)
I don’t what the answer is

Answers

Answer:

−2+4

Step-by-step explanation:

Answer:

-2g+4

Step-by-step explanation:

you have to distriute the negitive

-2g+4

so that is your answer

i hope this helps   :)

if the x variant of 24 was 8 how to I solve?

Answers

Answer:

you substitue 8 for x then you sovle it like a normal equations

Step-by-step explanation:

thanks for points :D

Answer:

8 times 3

Step-by-step explanation:

since 8 times 3 = 24

Each week, the price of oranges at the farmer's market increases by 20%. The price of oranges this week is 2.50 What was the price last week

Answers

The price last week was $2.08

Answer:4.50

Step-by-step explanation:

help........................................................................

Answers

Step-by-step explanation:

what is Fahrenheit use celsius bruuuhhhh

Answer:

C. The temperature decreased by 6.75 degrees F

Step-by-step explanation:

If F(x)=-x+6 and g(x)=3x^2-x+3 find the value of (g•f)(8)

Answers

9514 1404 393

Answer:

  -374

Step-by-step explanation:

  f(8) = -8 +6 = -2

  g(8) = (3x -1)x +3 = (3·8 -1)8 +3 = 23·8 +3 = 187

Then the product is ...

  (g•f)(8) = g(8)•f(8) = 187·(-2)

  (g•f)(8) = -374

The measurements of an cuboidal oil box are 30cm, 40cm and 50cm respectively. The cost of the tin sheet used in making the box is Rs. 10 per m². Find the cost of the tin required to make 20 such boxes ?​

Answers

Answer:

Cost of 20 boxes = RS. 188

Step-by-step explanation:

Given:

Length of box = 30 cm  = 0.3m

Width of box = 40 cm = 0.4 m

Height of box = 50 cm = 0.5 m

Cost per m² = Rs. 10

Find:

Cost of 20 boxes

computation:

TSA of box = 2[lb + bh + hl]

TSA of box = 2[(0.3)(0.4) + (0.4)(0.5) + (0.5)(0.3)]

TSA of box = 2[0.12 + 0.2 + 0.15]

TSA of box = 0.94 m²

Cost of 20 boxes = 0.94 x 20 x 10

Cost of 20 boxes = RS. 188

please help it almost due to 15 points

Answers

Answer:

a=30

b=15

c=3

d=30

e=10

Step-by-step explanation:

Solve for A first and continue solving for one variable at a time

help me out i would really appreciate it

Answers

Answer:

I think they both are linear

Yes, both of the questions are linear.

Identify any solutions to the system shown here.
2x + 3y 26
3x +2y 56

Answers

Answer:

Add more points  (0.5, 2), (-2,4)

Step-by-step explanation:

show graph of f(-x+2)

Answers

this is the graph but it’s a bit cropped

The polynomial
[tex] { - 3x}^{2} + 400x[/tex]
represents the budget surplus of the town of Alphaville for the year 2010. Alphaville's surplus in 2011 can be modeled by
[tex] { - 1.5x}^{2} + 300x[/tex]
If x represents the yearly tax revenue in thousands, enter a polynomial for how much Alphaville's budget surplus increased from 2010 to 2011. If Alphaville took in $450,000 in tax revenue in 2011, what was the budget surplus that year?
The surplus increased by __________
Alphaville's budget surplus was $_____ thousand, or$ ______ million​

Answers

Answer:

Answer:

Question 1: Budget Surplus Increase = 12x(exponent 2) - 200x

Question 2: Budget surplus in 2011 = $3.04 * 10 (exponent 12)

Step-by-step explanation:

Question 1

Budget surplus in 2010 =

Budget surplus in 2011 =

Increase in buget surplus = Budget surplus in 2011 - Budget surplus in 2010

Question 2

2011 yearly tax revenue, x = $450,000

Budget surplus in 2011 =

Budget surplus in 2011 ≅ $

Step-by-step explanation:

Christopher is 20 years younger than Ishaan. Ishaan and Christopher first met two years ago. Fourteen years ago, Ishan was 3 times as old as Christopher

Answers

Answer:

Let Ishaan's age be x. Then, Christopher's age is x-20. These are their current ages.

14 years ago,

x-14 = 3(x-20-14) (we need to subtract 14 from both of their ages')

x - 14 = 3(x - 34)

x - 14 = 3x - 102

2x = 88

x = 44

Ishaan is 44 years old now.

Answer:

Christopher is 44 and ishaan is 24

Step-by-step explanation:

So im guessing this question is asking how old they are now

if christopher is 20 years older he will always be 20 years older

so we need to find how old he was 14 years ago

he was 1/3rd the age meaning that 20 is 2/3s so that means that ishaan was 10 years old

then add 14 years and he is 24

3.) 4(m + 5) + 42, (m = -2)​

Answers

The answer would be 54 since m=-2

Step one: 4(-2+5)+42
Step two: (-8+20)+42=54

Answer:

54

Step-by-step explanation:

The variable m equals -2, so what you would do is plug it into the equation.

4(-2+5)+42

Next you would distribute the 4 into -2 & 5.

(-8+20) + 42

Add what's in the parenthesis.

12 + 42

Once you add that you will be left with your answer which is 54.

Hope this helped!

please help giving all my points

Answers

Answer:

Step-by-step explanation:

1. Subtraction

2.multiplication

Answer:

number 2. is Subtraction Property of equality and number 3 is multiplication property of equality.

Step-by-step explanation:

Need Help!!
1) What is the total of all new transactions?


$8.25


$16.23


$22.56


$47.04

2) What is the new balance?


$312.64


$295.47


$259.74


$244.64

Answers

Answer:

The answers are:

1, 47.04

2, 295.47

hope this helps

Answer:

1) $47.04

2) $295.47

Step-by-step explanation:

1) Add up Transactions:

$16.23 + $22.56 + $8.25 = 47.04

2) Start with the Previous Balance, subtract Payments, add Transactions then add the Finance Charge (from a previous question).

$312.64 - $68 + $47.04 + $3.79 = $295.47

What is an equation of the line that passes through the point (6,1) and is perpendicular to the line 2x+3y=18?

Answers

Answer

y = 3/2x -8

Step-by-step explanation:

The first thing you should do is change the equation into slope intercept form. Subtract 2x from both sides to get: 3y = -2x + 18. Divide all parts of the equation by 3 to get your equation in slope intercept: y = -2/3x + 6. One thing you should know when finding the slope of a perpendicular line is that it is the opposite reciprocal. So, the slope is going to be 3/2. This is your current equation: y = 3/2x + b. Plug in the point to the equation, it should look like this: 1 = 3/2(6) + b. Multiply 3/2 by 6 to get 9. This is what it should look like: 1 = 9 + b. Then, subtract 9 from both sides of the equation to get your y-intercept of -8. Go back to your other equation and plug in -8 for b. This is your final equation: y = 3/2x -8.

The eighth-grade class is planning a trip to Washington, D.C. this spring. They need a minimum of

75 people to attend in order to reserve buses. If one-third of the 8th-grade class plus 17 parent

chaperones have signed up and this is enough to satisfy the requirement, how many students must

be in the 8th-grade class?




Pls answer with an equation

Answers

Answer:

There needs to be 174 Students in the 8th grade class.

Step-by-step explanation:

173(1/3) is 58

58+17=75

Find the slope of the line parallel to the line through the given points (4,-2),(-1,8)

Answers

slope = -10/5 = -2


Hope this helps!!

Answer:

-2

Step-by-step explanation:

Parallel lines have the same slope, so find the slope of this line

Use rise over run, (y2 - y1) / (x2 - x1)

(y2 - y1) / (x2 - x1)

(8 + 2) / (-1 - 4)

10 / -5

= -2

So, the slope of the line is -2

There are 27 boys and 38 girls in the Bounders athletics club.
a. write the ratio of boys to girls in the form 1:n

Answers

Answer:

27:38 no more simplfying

Step-by-step explanation:

How would you solve this question?

Answers

Answer:

K

Step-by-step explanation:

techincally, I don't know if I am right, but there is more than one answer. The boundries/restrictions of what length DF could be are 2.477 < x < 8.477

please help me! where are the black dots located?!

Answers

the bottom square: -6,-5

the top square: -2,1

(-2,1) and (-6,-5) are where they’re located

Which one is it??????

Answers

the red function is reflected across the x axis and shifted down

−14 − 8x = −2(−3x + 7)

Answers

Answer:

-8x=6x+14-14

-8x-6x=0

-14x=0

X=0/14

X=0

?????

Answer:

X= 0 or Zero

Step-by-step explanation:

Steps To solve this problem... (8 steps)

1) Rearrange terms:

−14 − 8x = −2(−3x + 7)

−8x − 14 = −2(−3x + 7)

2) Distribute:

−8x − 14 = −2−(3x + 7)

−8x − 14 = 6x - 14

3) Add  14 to both sides of the equation:

−8x − 14 = 6x - 14

−8x − 14 + 14 = 6x - 14 + 14

4) Simplify (Add the numbers):

-8x = 6x

5) Subtract  6x from both sides of the equation:

-8x = 6x

-8x - 6x = 6x - 6x

6) Simplify (Combine like terms):

-14x = 0

7) Divide both sides of the equation by the same term:

-14x = 0

-14x/-14 = 0/-14

8) Simplify  (Cancel terms that are in both the numerator and denominator):

X= 0/-14

Hope this Helped! :)

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