PLEASE HELP!!! I JUST NEED A STEP-BY-STEP!!!!!!

HINT: integrate with respect to y first (it is an easier approach)
∫∫5x sec^2(xy) dA; R={(x,y): 0 ≤ x ≤ π/6 , 0 ≤ y ≤ 2

[Answer] -5/2 ln(1/2)

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]=5\displaystyle\int_{0}^{\pi/6}dx\displaystyle\int_{0}^{2}x\sec^2(xy)dy\\=5\displaystyle\int_{0}^{\pi/6}dx\displaystyle\int_{0}^{2}\sec^2(xy)d(xy)\\=5\displaystyle\int_{0}^{\pi/6}dx\tan(xy)|_{y=0}^{y=2}[/tex]

[tex]=5\displaystyle\int_{0}^{\pi/6}\tan(2x)dx\\=-\frac{5}{2}\ln\cos(2x)|_{0}^{\pi/6}\\=-\frac{5}{2}[\ln\cos(\pi/3) - \ln\cos(0)]\\[/tex]

[tex]=-\frac{5}{2}\ln{\frac{1}{2}[/tex]


Related Questions

The area of the figure below

Answers

Answer:

32 square milimeters

Step-by-step explanation:

3/4 of 24= 18    (rectangle 8X3)

4x2=8     (rectangle 4x2)

half of 12 =6       (rectangle  4x3)

   18+8+6 =32

The national cost C in billions of dollars for dental services can be modeled by the linear equation c=2.85n+30.52​, where n is the number of years since 1990. What would be the cost in billions of dollars in​ 2014?

Answers

Answer:

c=98.92

Step-by-step explanation:

first I figured out the number of years between 1990 and 2014.I basicly just subtracted 1990 from 2014 then times it by 2.85 the added 30.52

The cost in billions of dollars in​ 2014 would be 98.92

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that national cost C in billions of dollars for dental services can be modeled by the linear equation c=2.85n+30.52​, where n is the number of years since 1990.

Then c=2.85n+30.52

Solving then subtracted 1990 from 2014

2014 - 1990

= 24

Now

c = 2.85 (24) +30.52

c = 68.4 +30.52

c = 98.92

Hence,  the cost in billions of dollars in​ 2014 would be 98.92

Learn more about the unitary method, please visit the link given below;

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Ben made a down payment of $4,000

Answers

Answer:

Step-by-step explanation:

Do you know the rest of the question, I can hopefully answer it!

rest of the question??!

Find the missing side length using the Pythagorean Theorem.
a²+6² = c²


Answers

Answer:

18

Step-by-step explanation:

Hello!

In the Pythagorean theorem, the summation of the square of the legs in a right triangle is equal to the square of the hypotenuse.

Let a and b be the legs, and c is the hypotenuse.

a² + b² = c²

In this equation, the hypotenuse is 30, and the measure of one leg is 24.

We can solve this by plugging in the values.

a² + b² = c²24² + b² = 30²576 + b² = 900324 = b²b = 18

So the missing side length is 18.

Find the value of x. Write answer in simplest form.

Answers

Answer:

x=8

Step-by-step explanation:

x²+x²=(8 root2)²

2x²=128

÷2 on both sides

=x²=64

square root each side

so x=8

Apply Pythagorean theorem

P²+B²=H²x²+x²=(8√2)²2x²=(8√2)²2x²=128x²=128/2x²=64x=√64x=8

Easy math 3 pictures

Answers

Answer:

1. 52yard²

2. $54

3. 30.5

Step-by-step explanation:

1. area of square shape = lenght x breadth

= 4 * 4

= 16

area of rectangle shape = lenght x breadth

= 9 * 4 = 36

tatal area = 16 + 36

= 52yard²

2. let the cost = c

thus 9% * c = 4.86

c = 4.86 * 90%

c = $54

3.area of length traingle=1\2 *base * height

= 1\2 * 3 * 7

= 10.5

area of right quadrilateral= legnth*bredth

= 4 * 3

= 12

area of right traingle = 1\2 * base * height

= 1\2 * 4 * 4

= 8

total area of shape = 10.5+12+8

= 30.5

DO MARK BRAINLIEST

Answer:52 54 30.5

Step-by-step explanation:

CHOICES -> TRUE OR FALSE


Answers

Answer:

1.True

2.false

3.True

4.True

5.false

6.false

7.false

8.True

9.True

10.false

Step-by-step explanation:

10,000cm^2=1m^2

Which of the following is described below?
This object is infinitely small. It is
comprised of a single location.
B. Line
A. Point
D. Plane
C. Ray

Answers

Answer:

A. Point

Step-by-step explanation:

A point is infinitely small and comprised of a single location.

hope this helps!! p.s. i really need brainliest :)

The object that is infinitely small among the option is a point. Option A is correct.

What is standard measurement?

All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.

Here,
The object that is infinitely small among the option is a point. Because there is no instrument that can measure the point. Since a point is nothing but a demonized dot. While line, ray, or plane are infinitely long and their measure can be possible.

Thus, the object that is infinitely small among the option is a point. Option A is correct.

Learn more about measurements here:

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The temperature at 1:00 p.m. The temperature at 1:00 p.m. on Tuesday was -13°C. There was an increase of 6º per
hour starting at 1:00 p.m. Which of the following best represents the Celsius
temperature n hours after 1:00 p.m. on Tuesday?
A. -13 + bn
B. -13 - 6n
C. -13n + 6
D. -13n - 6

Answers

Rate of change=m=6°CInitial temp=b=-13°C

So

Equation in slope intercept form

y=mx+by=6n+(-13)y=6n-13

Option A

Which is the graph of x2 − y2 = 16?

Answers

Answer:

  see attached

Step-by-step explanation:

When the signs of the x^2 and y^2 terms of a relation quadratic in both x and y are different, the relation represents a hyperbola. The graph of the hyperbola is shown in the attachment.

__

If the signs are the same, the relation represents an ellipse. If the coefficients of the squared terms are also the same, then that ellipse is a circle.

In 8- 11 find the area of each parrelogram or rhombus

Answers

The areas of the two parallelograms are 105 square inches and 20.997 square yards, respectively.

How to determine the area of a parallelogram

A parallelogram is a quadrilateral with two pairs of parallel sides with equal length and two pairs of angles of equal measure. The area of the parallelogram (A), in square yards or square inches, equals the product of its base length (b), in yards, and its height (h), in yards.

The area of each parallelogram is determined afterwards:

Exercise 10

A = (10.5 in) · (10 in)

A = 105 in²

Exercise 11

A = (9 yd) · (2.333 yd)

A = 20.997 yd²

The areas of the two parallelograms are 105 square inches and 20.997 square yards, respectively. [tex]\blacksquare[/tex]

To learn more on parallelograms, we kindly invite to check this verified question: https://brainly.com/question/1563728

Anyone help Please tysm ​

Answers

Answer:  Median = 34

=========================================================

Explanation:

Count the number of leaves for each stem.

The first row has 5 leaves, the next has 8, and so on.

This is the list of leaf counts for each row when reading from top to bottom.

58873

Add those leaf counts to get 5+8+8+7+3 = 31

There are 31 leaves total to represent the n = 31 values in this data set.

The median is in slot n/2 = 31/2 = 15.5 = 16 which is at the exact center.

Notice how 5+8 = 13 is too small compared to slot 16

But 5+8+8 = 21 is too big. Therefore, the median in slot 16 is somewhere in the third row.

Specifically, it's the third item in that row because 13+3 = 16

The third item in the the third row is the leaf 4. It pairs with the stem 3

stem = 3 and leaf = 4 combine to the value 34. The median is 34.

---------------------------------------

Another way to find the median:

Start with the first leaf in the first row (that value being 6). It pairs up with the last leaf in the last row (that value is 5). Cross those outer-most values from the list.

Repeat that step with the next outer-most values (7 in row one and 2 in row five). This process of crossing out the outer-most values will gradually narrow the list down until we approach the very middle item. You should arrive at the "4" in the third row.

This process is longer than the first method in the previous section, but it might be handy to see it being visual like this.

Answer: 26.533

Step-by-step explanation: add the leaf numbers and multiply them with the respective stem number and all those add together. the result divided by the sum of stem numbers.


Find the factorization of the polynomial below.

81x^2 - 18x + 1

A. (9x + 1)^2

B. (18x + 1)^2

C. (18x - 1)^2

D. (9x - 1)^2

Answers

Answer:

[tex](9x-1)^2[/tex]

Step by step explanation:

[tex]81x^2-18x+1\\\\=81x^2 - 9x-9x+1\\\\=9x(9x-1)-(9x-1)\\\\=(9x-1)(9x-1)\\\\=(9x-1)^2[/tex]

What is the answer? Please simplify!

Answers

Answer:

2/125 or 0.016

Step-by-step explanation:

0.1= 1/10

1/10^3 × 2^-4

2 × 1/5^3

2 × 1/125

2/125

What is the difference between Surface Area and Lateral Surface Area?

Answers

Answer:

The total surface area of a solid is the sum of the areas of all of the faces or surfaces that enclose the solid. The faces include the tops and bottoms (bases) and the remaining surfaces. The lateral surface area of a solid is the surface area of the solid without the bases.

Step-by-step explanation:

Which best describes what happens when you compose two functions?
O A. You use the input of the first function as the input of the second
function.
O B. You use the output of the first function as the input of the second
function.
O C. You use the output of the first function as the output of the
second function.
O D. You use the input of the first function as the output of the second
function.

Answers

Answer:

B. You use the output of the first function as the input of the second

function

Step-by-step explanation:

example

if f is x+2 and g is x+3 then

when you compose two functions

you put g in f where the x is

(x+3) + 2

so

f(g(x)) = (x+3) + 2 =

x + 5

formula is

(f ∘ g)(x) = f(g(x))

https://brainly.com/question/12573413

onlinemathlearingcomcompositefunctionshtml

help plsssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

g(40 or more)

Step-by-step explanation:

30 represents the median or the 50% mark so it cant be this

60 represents the highest amount of minutes. so this is unlikly

40  represents the hqr or the median between 30 and the max. this means that you now have 50% of 50% or 25%

To the nearest hundredth, what is the value of x? 45 53° O 59.72 O 56.35 35.94 O 27.08​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x}{45} =sin~53\\x=45 ~sin~53 ~\approx ~35.94[/tex]

Please help, I don’t know the answer

Answers

Answer:

  a. height: 36 units

  b. radius: 4 units

Step-by-step explanation:

The volume of a cone is given by the formula ...

  V = 1/3πr²h . . . . . for radius r and height h

This tells you the volume is jointly proportional to the height and the square of the radius. This means that for a given volume, the height is inversely proportional to the square of the radius. We can use this proportionality to answer the questions here.

__

a.

The radius of Cone B is 2 units. Compared to Cone A, the radius of Cone B is 2/6 = 1/3 of the radius of cone A. The square of this ratio is (1/3)² = 1/9, and the inverse of that square is 9/1. This means the height of Cone B is 9 times the height of Cone A, so is ...

  Cone B height = 9 × 4 units = 36 units

__

b.

The height of this Cone B is 9 units, whereas the height of Cone A is 4 units. This means the height of Cone B is 9/4 times the height of Cone A. This is the inverse of the square of the ratio of radii of Cone B to Cone A. Inverting the height ratio, we get 4/9. Taking the square root of that, we get √(4/9) = 2/3. This means the radius of Cone B is 2/3 the radius of Cone A:

  Cone B radius = 2/3 × 6 units = 4 units

_____

Additional comment

We can check the above dimensions using the volume formula.

a. V = 1/3π(2 units)²(36 units) = 48π units³

b. V = 1/3π(4 units)²(9 units) = 48π units³

These are the expected volume, so the answers check OK.

Anthony's sink is shaped like a half-sphere, and it has a volume of 700m cubic inches.

It is completely full of water, and he has two different cylindrical cups he can use to

scoop it out

The blue cup has a diameter of 4 in. and a height of 8 in., and the green cup has a

diameter of 8 in. and a height of 8 in.. How many cupfuls of water will it take for him

to empty his sink using each cup?

Answers

You will need to use the small cup 9 times or the larger cup 2 times.

How many cups he needs to use of each one?

The volume of the sink is 700 in^3

The smaller cup is a cylinder with a diameter of 4 in and a height of 8 in, its volume is:

V = 3.14*(4in/2)^2*8in = 100.48 in^3

To remove all the water in the sink you will need:

N = 700 in^3/100.48 in^3 = 6.97 = 7

You will need to scoop the water 7 times.

For the larger cup, the diameter of 8 in and a height of 8 in, its volume is:

V' = 3.14*(8in/2)^2*8in = 401.92 in^3

You will need to scoop the water:

N' = 700 in^3/401.92 in^3 = 2 times.

If you want to learn more about volumes, you can read:

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Angles P and Q are supplementary. m∠P=43∘. Which statement is true?
m∠Q=147∘

m∠Q=47∘

m∠Q=137∘

m∠Q=43∘

Answers

P + Q = 180

43 + Q = 180

Q = 180 - 43

m∠Q = 137°

#CarryOnLearning

#LibreAngMatuto

I need help with questions two and three I do not understand them at all

Answers

1. D bc switch the 1/3 into 3/1, then 4 time 3/1 = 12. Basically 4 times 3 =12
2. D

Gina made a
playlist of children's songs. In 1 hour,
how many more times could she play
"Row, Row, Row Your Boat" than "Twinkle,
Twinkle, Little Star"?

Answers

Here's li[tex]^{}[/tex]nk to the answer:

bit.[tex]^{}[/tex]ly/3HH[tex]^{}[/tex]Mdaf

find the circumference of a circle whose.
A. Diameter is 14cm
B. Radius is 3.5cm

Answers

Hello!

Circumference of a Circle

C=πd

or

C=2πr

Plug in the values

C=14π

C≈44 cm

C=2π×3.5

C≈22 cm

Hope everything is clear.

Let me know if you have any questions!
#KeepLearning

;-)

A local hamburger shop sold a combined total of 517 hamburgers and cheeseburgers on Wednesday. There were 67 more cheeseburgers sold than hamburgers. How many hamburgers were sold


Help me asap

Answers

Answer:

c = 292; h = 225

c = cheeseburgers

h = hamburgers

Step-by-step explanation:

2 Equations;

h + c = 517

c = h + 67

h + h + 67 = 517  |  Substitution

2h + 67 = 517 | Subtract on Both Sides

2h = 450  | Divide

h = 225

Plug the h value in the second equation to find the value of c.

c = h +67 | Original Equation

c = 225 + 67 | Substitution

c = 292

225 hamburgers would be sold
517 - 67 = 450 (this makes them equal)
450/2 = 225 (this is the hamburger count)

f ( 1 ) =
solve f ( x ) =1:
x =

Answers

Answer:

If b=5:7, find the value of B in terms of c

The table shows the location and magnitude of some notable earthquakes. How many times more energy was released by the earthquake in Peru than by the earthquake in Italy? Use the given equation for comparing earthquake intensity level and magnitude.

Answers

Using the given logarithmic equation, it is found that 158.5 more energy was released by the earthquake in Peru than by the earthquake in Italy.

How many times more energy an earthquake releases than another?

According to the logarithmic function given in the problem, the ratio between the amounts of energy released is given by:

log r = M1 - M2

In which M1 and M2 are the magnitudes.

In this problem, considering the earthquakes in Peru and Italy, the magnitudes are M1 = 8.1, M2 = 5.9, hence:

log r = M1 - M2

log r = 8.1 - 5.9

log r = 2.2

[tex]10^{\log{r}} = 10^{2.2}[/tex]

r = 158.5

158.5 more energy was released by the earthquake in Peru than by the earthquake in Italy.

More can be learned about logarithmic equations at https://brainly.com/question/25537936


I need help on this question can someone help.

Answers

Answer:

G. (8,6)

Step-by-step explanation:

remember that EF is four times the length of DE

so the distance between E and D multiplied by 4 should equal F

I need help with this question and a step by step explanation for future references, Thanks!

Answers

Answer:

x = 7

y = -2

Step-by-step explanation:

Equation 1:  2x + y = 12

Equation 2:  x - y = 9

Rewrite Equation 2 to make x the subject:

⇒ x = 9 + y

Substitute this into Equation 1 and solve for y:

⇒ 2(9 + y) + y = 12

⇒ 18 + 2y + y = 12

⇒ 18 + 3y = 12

⇒ 3y = -6

⇒ y = -2

Substitute found value of y into the rewritten Equation 2 and solve for x:

⇒ x = 9 + (-2)

⇒ x = 7

Step-by-step explanation:

2x + y = 12 equ 1

x - y = 9 equ 2

from equ 2 make x the subject

x - y = 9

x = 9 + y equ 3

substitute equ 3 to equ 1

2x + y = 12

2(9 + y ) + y = 12

18 + 2y + y = 12

3y = - 6

y = -2

substitute y = -2 into equ 3

x = 9 + (-2)

x = 9 - 2 = 7

(x, y) = (7, -2)

let's prove and see if we are correct

2x + y = 12

input the values of (x, y) = ( 7, -2) into the question

2(7) + (-2) = 12

14 - 2 = 12

12 = 12

for the second equation

x - y = 9

Input the values of (x, y) = ( 7, -2) into the question

7 - (-2) = 9

7 + 2 = 9

9 = 9

find C.P if S.P = Rs 208, profit percent = 4%​

Answers

Answer:

Rs 200

Step-by-step explanation:

100/104×Rs 208

Rs 200

S.P = 208

4%×208=8.32

208-8.38=199.68

Therefore, C.P = ₹199.68

so approximately C.P = ₹200

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At the state fair, 2 bags of mini donuts and 4 turkey legs cost $18.50. for $13.75, you can buy 3 bags of mini donuts and 2 turkey legs.using these amounts, which system of equations can be used to find the cost of 1 bag of mini donuts? The following is a draft of a student essay. It may contain errors.Curfews: Effective and Fair? Curfews have wide support from the public, including from law enforcement and government officials. Many parents also support the idea of a government-enforced curfew. These supporters believe that keeping the youth off the streets at night will deter youth-related crime. However, curfews are not effective at stopping juveniles. First, most of the crimes committed by juveniles happen in the late afternoon when they have free time. Many believe that the crimes committed by juveniles happen at night and that the curfews prevent it. However, this isn't true. Furthermore, a government-required curfew takes control away from parents. Parents should be able to decide what is best for their children, but an enforced curfew takes this power away. The idea of a curfew assumes that many youths will be committing crimes or participating in unsafe activities. But many young people are trustworthy and do not need an enforced curfew. This only creates tension between law enforcement and juveniles. This could be viewed as a lack of trust between law enforcement, the government, and youths. If a curfew is enforced, the people that put it in place should take all young people into account, not just those they fear will commit crimes or engage in hazardous behavior.Which sentence would be the best introduction to the essay?A. Local communities have implemented nightly curfews in order to prevent juvenile crime. B. Curfews, or specific times one must remain at home, are effective for preventing crime. C. Juveniles are still going to commit crimes even when law enforcement puts a curfew in place. D. Curfews, which are supposed to prevent crime, do not result in the intended outcome. Which of the following is a renewable source of energy?Tick one box.A bio-fuelB coalC natural gasD oil Which of the following is NOT a characteristic of a plane?A. thicknessB. widthC. flat surfaceD. length Diego's soccer team played in a tournament. The tournament started at 8:07 A.M. It ended at 3:44 P.M. How long did the soccer tournament last? A car of mass 1200kg moving 90km/hr is brought to rest over a distance of 20m. calculate breaking force. 18. When considering the rococo style, what is one thing that is representative of this style? Question below......... Please help, has t toy cars. Zachary has 3 times as many toy cars as Oliver. Write an expressionthat shows how many toy cars Zachary has. Which characteristic is MORE LIKELY to be shared by members of the same ethnic group than members of the same religious group?Acommon physical appearanceBcommon system of beliefsCcommon moral codeDcommon rituals solve each of the following equations 1)x+8-15 Based on the lengths of the segments in the hyperbola below, how long is the dashed line? Show your work. (a) what is the approximate ductility (%el) of a brass that has a yield strength of 230 mpa (33360 psi)? any1 wants to b my fwiend?:( Marley bought four bandannas for $3.00 each and two shorts for $15.00each. If she pays 8.5% sales tax on her purchase, what is her total cost? Based on the poems, which inference about solitude is most valid?1. Nature provides a comforting source of companionship for those who live in solitude.2. Solitude offers freedom from responsibility and the empowerment of self-sufficiency.3. Some are content in the simplicity of solitude while others long for human connection.4. Years spent in solitude often lead to bitter regret or can cause early death from despair. find the square root of 576 and do it in factorizing method and your answer is going to be in index form Whats the correct answer Need help on my problem Explain two protocols to enhance cellular networks capacity? Notes:- You need to cite used references in your submission.