The e2+ dy dx 05 - Integral does not have a closed-form solution, so we have to use numerical methods to evaluate it
To transform the given integral to polar coordinates, we need to express the limits of integration in terms of polar coordinates, and also convert the differential area element from rectangular to polar form.
First, let's sketch the region of integration. The limits of integration are 0 ≤ x ≤ √2 and 0 ≤ y ≤ √(2-x^2), which corresponds to the area in the first quadrant that lies inside the circle of radius √2 centered at the origin.
To express the limits in polar coordinates, we note that the region of integration lies inside the circle of radius √2, so we can use 0 ≤ r ≤ √2 as the limits for the radial variable.
To convert the differential area element, we use the formula dA = r dr dθ for polar coordinates.
To evaluate the integral, we first integrate with respect to r:
= ∫[0,π/4] ∫[0,√2] e^(2+r sinθ) r dr dθ
\(= ∫[0,π/4] [(e^(2+r sinθ))/sinθ]_0^√2 dθ\)
= ∫[0,π/4] [(e^(2+√2 sinθ))/sinθ] dθ
This integral does not have a closed-form solution, so we have to use numerical methods to evaluate it.
For such more question on Integral:
https://brainly.com/question/22008756
#SPJ11
The following question may be like this:
To assist in transforming the following integral to polar coordinates. Then evaluate the resulting integral. e2+ dy dx 05.
the data below shows the number of text messages received by a group of 25 students in a day. 10, 8, 13, 14, 15, 14, 15, 14, 13, 12, 12, 14, 11, 14, 13, 14, 15, 16, 13, 16, 15, 16, 15, 14, 11 which dot plot represents the data?
Based on the provided data, the dot plot that represents the number of text messages received by a group of 25 students in a day would show dots arranged vertically along a number line corresponding to the frequency of each value.
The number line would start from 8 and extend to 16, with dots placed above the appropriate value on the number line to represent its frequency.
To create the dot plot, we count the frequency of each value and place a dot above that value on the number line. Looking at the data, we can observe that the values range from 8 to 16. The frequency of each value is as follows: 8 (1), 10 (2), 11 (2), 12 (2), 13 (4), 14 (6), 15 (5), and 16 (3).
On the basis of the given data, the dot plot would have dots arranged vertically above the values on the number line:
1 dot above 8
2 dots above 10
2 dots above 11
2 dots above 12
4 dots above 13
6 dots above 14
5 dots above 15 and
3 dots above 16
This arrangement accurately represents the frequency distribution of the given data.
To know more about frequency distribution, visit:
https://brainly.com/question/30625605
#SPJ11
i don’t know how to do this.
Answer:
c
Step-by-step explanation:
A cube has an edge of 5 feet. The edge is increasing at the rate of 2 feet per minute. Express the volume of the cube as a function of m, the number of minutes elapsed.Hint: Remember that the volume of a cube is the cube (third power) of the length of a side.
INFORMATION:
We know that:
- A cube has an edge of 5 feet
- The edge is increasing at the rate of 2 feet per minute
And we must express the volume of the cube as a function of m, the number of minutes elapsed
STEP BY STEP EXPLANATION:
First, we need to use that the volume of a cube of edge e is given by:
\(V=e^3\)Second, we can find an expression for the variation of the edge in terms of the time. The edge starts at 5 feet, and increases at the rate of 2 feet per minute
\(e(m)=5+2m\)Finally, replacing the function for the edge variation in the formula for the volume of a cube
\(V(m)=(5+2m)^3\)ANSWER:
The expression for the volume of the cube as a function of m is:
\(V(m)=(5+2m)^3\)On a certain hot summer's day, 133 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for adults. The receipts for admission totaled 270.75 How many children and how many adults swam at the public pool that day?
That day the number of adults was 95 and the number of children was 38
How many children and how many adults swam at the public pool that day?Let's define the variables:
x = number of adults.
y = number of children.
We know that 133 people used the public swimming pool. then we can write:
x + y = 133
We also know that the receipts for admission totaled 270.75, then we can write other equation as:
2.25x + 1.5y = 270.75
Then the system of equations is:
x + y = 133
2.25x + 1.5y = 270.75
In the first equation we can isolate x to get:
y = 133 - x
Now replace that in the other equation to get:
2.25x + 1.5*(133 - x) = 270.75
0.75x + 199.5 = 270.75
0.75x = 270.75 - 199.5
x = 71.25/0.75 = 95
Then the value of y is:
y = 133 - 95 = 38
Learn more about systems of equations at:
https://brainly.com/question/13729904
#SPJ1
Please help? Is this correct i need tight now poease
Answer:
Yes
Step-by-step explanation:
Your answer is correct :) good job and keep it up!
Copy and complete the tables of values for the relation y=2x²−x−2 for −4≤x≤4
The value of y for x ranging from -4 to 4 are 34, 19, 6, -3, -2, 1, 10, 23 and 38, respectively.
To find the values of y for the given range of x, we can substitute each value of x into the equation y = 2x² - x - 2 and simplify. The completed table of values is:
(The table is attached below)
The given relation is y = 2x² - x - 2. To create a table of values for this relation, we can substitute values of x in the given range of -4 to 4 and calculate the corresponding values of y using the equation. In the first table, we substitute values of x ranging from -4 to 0 and calculate the corresponding values of y. In the second table, we substitute values of x ranging from 0 to 4 and calculate the corresponding values of y. These tables show how the values of y change as x changes within the given range, and provide a way to graph the relation as well.
Learn more about algebra here: brainly.com/question/24875240
#SPJ4
True or false?
When copying an angle the lengths of the lines matter.
Answer:
false
Step-by-step explanation:
Select the expression that is equivalent to x + x + y × y × y. Question options: 2x + 3y x2 + 3y x2 + y3 2x + y3
Answer:
D) 2x + y³---------------------
Adding same values results in multiplication.
Multiplication of same values results in exponents.
Find the equivalent expression with the given:
x + x + y × y × y = 2x + y³This is same as the last answer choice.
What does x equal ?! -4 (10 + 3x) - (x + 8) = -9
Answer:
= − 3
Step-by-step explanation:
− 4 ( 1 0 + 3 ) − ( + 8 ) = − 9
put it in the desmos calculator it should help.
(x²y⁴)×(2xy⁴)×(-3xy)
Answer:
The answer is -6x⁴y⁹
Step-by-step explanation:
(x² y⁴) × (2xy⁴) × (-3xy) = -6x⁴y⁹
Thus, The answer is -6x⁴y⁹
-TheUnknownScientist
4) Find the GCF of the two numbers, and rewrite the sum of the two numbers using the distributive property. 18 + 42
Answer:
GCF = 6, Sum = 60.
Step-by-step explanation:
Substitute 6 into our distribution equation:
6(3) + 6(7) = (18 + 42) = 60
Check:
6(3)+6(7) = 60.
(This is an easier way to find the GCF, by substitution)
Checking Continued:
18: 1, 2, 3, 6, 9, 18
42: 1, 2, 3, 6, 7, 14, 21, 42
6 is the GCF.
The following is what type of variable: Whether or not college seniors tend to have higher GPAs than college juniors. Select one: a. Categorical b. Identifier c. Numerical d. This is not a variable
Answer:
Is A
Step-by-step explanation:
I thing so , because is the same
A) No solution
B)One solution
C) Infinite Solution
D) None of these
HELP PLEASE ASAP
✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽
In my words: All real numbers are Solutions.
So it's C) Infinite Solution
A) No solution
B)One solution
C) Infinite Solution
D) None of these
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ May ♡
Mary will spin the spinner below 150 times.02.83746unAbout how many times should Mary expect the spinner to land on a number greater than 5?A.75B.56C. 38D. 94
we have that
the total numbers in the spinner are 8 numbers
numbers greater than 5 -----> 6,7 and 8------> 3 numbers
the probability is
3/8
Multiply by 150 times
150(3/8)=56.25
therefore
the answer is the option B9 ABCD est un quadrilatère quelconque. E, F, G et H sont les milieux respectifs des [AB], [BC], [CD] et [AD]. Démontre que le quadrilatère EFGH est un parallélogramme.
Answer:
Pour démontrer que le quadrilatère EFGH est un parallélogramme, nous devons prouver que ses côtés opposés sont parallèles.Nous pouvons utiliser le théorème de Thalès pour prouver que les côtés opposés d'EFGH sont parallèles :Les segments [AE], [BE] et [AB] ont le point E comme milieu, donc d'après le théorème de Thalès, on a : AE/EF = AB/BCLes segments [BF], [CF] et [BC] ont le point F comme milieu, donc d'après le théorème de Thalès, on a : BF/FG = BC/CDLes segments [CG], [DG] et [CD] ont le point G comme milieu, donc d'après le théorème de Thalès, on a : CG/GH = CD/DALes segments [DH], [AH] et [AD] ont le point H comme milieu, donc d'après le théorème de Thalès, on a : DH/HE = DA/ABEn combinant ces quatre équations, nous obtenons :AE/EF = CD/DA et BF/FG = AB/BC
=> AE/EF = BF/FGCG/GH = AB/BC et DH/HE = CD/DA
=> CG/GH = DH/HEAinsi, nous avons prouvé que les côtés opposés du quadrilatère EFGH sont parallèles. Par conséquent, EFGH est un parallélogramme.
Which is greater and why: –2π or –3π? Justify your answer.
Answer:
-2π is grater than -3π
Write the equation of the line that passes through the points (-1,4)and (−1,0). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
well, the tell-tale part in the points will be the coordinates, hmmm now, the x-coordinate for both points is the same, well, that simply means is a vertical line. Check the picture below.
simplify for this. 22 + (3x3 - 4x4)
Answer:15
Step-by-step explanation: 1st multiple what’s in the parenthesis (3*3= 9 & 4*4= 16
Next write it out 22+(9-16)
Then you subtract 9 from 16 since it’s in parenthesis So it’s 22+(-7) and since you are adding a negative and a positive together you will have to subtract and keep the sign of the larger number so the answer is 15 since u needed to subtract but 22 is the larger number making it positive answer
Find the angle of the sector given the radius and the area of the sector.
Radius = 12 ft
Area of sector is 339.3 ft2
Answer:
270 degrees
Step-by-step explanation:
\(Area \: of \: the \: sector \\ \\ = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ 339.3 = \frac{ \theta}{360 \degree} \times 3.14 {(12)}^{2} \\ \\ 339.3 = \frac{ \theta}{360 \degree} \times 3.14 \times 144 \\ \\ \theta = \frac{339.3 \times 360 \degree}{3.14 \times 144} \\ \\ \theta = \frac{122,148\degree}{452.16} \\ \\ \theta= 270.143312 \degree \\ \\ \theta \approx \: 270\degree\)
what 12x12x34x5÷2 equal? 26 points and first one will get brainliest
Answer:
it should be 12240 !
Step-by-step explanation:
sorry if this is wrong, but im fairly certain its right :]
11. Make Sense and Persevere The sum of four
consecutive integers is –18. What is the greatest
of these integers?
Answer:
-3
Step-by-step explanation:
4n+ 6 = -18
4n=-24
n = -6
-6,-5,-4,-3
largest is -3
Answer:
\(\displaystyle -3\)
Step-by-step explanation:
\(\displaystyle -18 = 6 + 4n → \frac{-24}{4} = \frac{4n}{4} \\ \\ -6 = n \\ \\ \\ -6, -5, -4, \boxed{-3}\)
Hence, you have your answer.
I am joyous to assist you at any time.
Complete the steps below to create an absolute-value inequality with this solution. Donot use spaces in your answer.
We have a line given and we need to complete the following:
For this case we just need to see the liimit for the line given and we see that the line is between 2 and 18
\(2For the second part of the problem we found the middle point:\(\text{Mid}=\frac{2+18}{2}=10\)(-3)+(-10)+(-17)+....... as far as the 11th term
Answer: The answer is y=-7x. yeah
a box of chocolate contains 5 milk chocolate dark chocolate and 5 white chocolate you randomly selecting III chocolates the first place is milk chocolate the second is dark chocolate and third is white chocolate is this dependent or independent?
Answer:
independent
Step-by-step explanation:
because each chocolate was a different flavor
On January 1, 2018, the board of directors of Goby Inc. declared a $540,000 dividend. The following data is from the balance sheet of Goby on that date:
Common stock $500,000
Paid-in capital—excess of par $300,000
Retained earnings $400,000
Paid-in capital—share repurchase $50,000
How much is the liquidating dividend?
The amount of the liquidating dividend is $140,000. A liquidating dividend is a distribution to shareholders that exceeds the company's retained earnings.
Therefore, in order to calculate the liquidating dividend, we need to determine the amount of retained earnings as of January 1, 2018.
Retained earnings = $400,000
The board of directors declared a dividend of $540,000, which is more than the amount of retained earnings. This means that $400,000 of the dividend will be classified as a regular dividend, and the remaining $140,000 will be classified as a liquidating dividend.
Therefore, the amount of the liquidating dividend is $140,000.
Learn more about dividend here:
https://brainly.com/question/30792099
#SPJ11
what is 5713 – 75 =
show your workings out
Answer:
5713 - 75
= 5638
Step-by-step explanation:
brainliest plz
the picture below shows the shape of a design painted on the side of a building. The design was formed by combining triangles and rectangles.
What is the area of the wall covered by the design?
Therefore , the solution of the given problem of surface area comes out to be 212 square feet of the wall are therefore covered by the design.
What exactly does an area mean?The total size of the object can be determined by calculating how much room would be required to completely cover its exterior. When choosing a similar product with a cylindrical form, the environment is taken into account. Anything's total dimensions are determined by its surface area. The amount of water that a cuboid can hold depends on the number of sides that link its four trapezoidal shapes.
Here,
We must first determine the area of each individual form before adding them together to determine the portion of the wall that the design covers.
Taking a look at the rectangle first, we can observe that it has the following area:
=> 120 square feet= 10 feet x 12 feet.
=> 40 square feet = (1/2)(10 ft)(8 ft).
Consequently, the two triangles' combined area is:
=> 80 square feet = 2 x 40 square feet.
=> (12 square feet) = (1/2)(6 ft)(4 ft).
The total area of all the shapes is as follows:
=> 212 square feet= 120 square feet, 80 square feet, and 12 square feet.
=> 212 square feet of the wall are therefore covered by the design.
To know more about surface area visit:
https://brainly.com/question/2835293
#SPJ1
Answer: the answer is 261 ^2 ft!
Step-by-step explanation:
50 POINTSSS PLEASE HELP
Create a list of steps, in order, that will solve the following equation
2(x+3) – 5 = 123
Solution steps:
Add 2 to both sides
Add 5 to both sides
Divide both sides by 2
Multiply both sides by 2
Subtract 5 from both sides
Subtract – from both sides
Square both sides
Take the square root of both sides
A list of steps, in order, that will solve the following equation include the following:
Add 5 to both sidesDivide both sides by 2.Subtract 3 from both sidesHow to create a list of steps and determine the solution to the equation?In order to create a list of steps and determine the solution to the equation, we would have to add 5 to both sides and divide both sides by 2 in order to open the parenthesis as follows;
2(x + 3) – 5 = 123
2(x + 3) – 5 + 5 = 123 + 5
2(x + 3) = 128
By dividing both sides of the equation by 2, we have the following:
2(x + 3)/2 = 128/2
x + 3 = 64
By subtracting 3 from both sides of the equation, we have the following:
x + 3 - 3 = 64 - 3
x = 61
Read more on solution and equation here: brainly.com/question/25858757
#SPJ1
Mrs. Brown uses
1/4 package of graph paper for each class. She needs 1 1/2 packages to serve all of her
classes. How many classes does Mrs. Brown teach?
Answer:
6
Step-by-step explain
1.5 divide by .25 = 6
You are CEO of Rivet Networks, maker of ultra-high performance network cards for gaming computers, and you are considering whether to launch a new product. The product, the Killer X3000, will cost $900,000 to develop up front (year 0), and you expect revenues the first year of $800,000, growing to $1.5 million the second year, and then declining by 40% per year for the next 3 years before the product is fully obsolete. In years 1 through 5, you will have fixed costs associated with the product of $100,000 per year, and variable costs equal to 50% of revenues. what are the cash flows for the project in years 0 through 5? Plot the NPV profile for this investment from 0% to 40% in 10% increments. what is the project's NPV if the project's cost of capital is 10%? Use the NPV profile to estimate the cost of capital at which the project would become unprofitable;
The NPV of the project is $0 when the cost of capital is around 31%, and the project becomes unprofitable beyond this point.
Given data, The upfront cost of the project is $900,000Year 1 revenues
= $800,000Year
2 revenues = $1,500,000 Year
3-5 revenue decline by 40% each year Fixed costs = $100,000 per year Variable costs = 50% of revenue
Year-wise cash flows: Year 0: -$900,000 Year
1: $800,000 - 50%($800,000) - $100,000 = $300,000Year
2: $1,500,000 - 50%($1,500,000) - $100,000 = $550,000Year
3: $0.6(1 - 0.4)($1,500,000) - 50%($0.6(1 - 0.4)($1,500,000)) - $100,000
= $210,000Year
4: $0.6(1 - 0.4)2($1,500,000) - 50%($0.6(1 - 0.4)2($1,500,000)) - $100,000 = $126,000Year
5: $0.6(1 - 0.4)3($1,500,000) - 50%($0.6(1 - 0.4)3($1,500,000)) - $100,000 = $75,600
Net cash flow in years 0-5 = -$900,000 + $300,000 + $550,000 + $210,000 + $126,000 + $75,600
= $362,600.
The following is the NPV profile of the project: For the cost of capital of 10%, the project's NPV can be calculated by discounting the cash flows by the cost of capital at 10%.
NPV = -$900,000 + $300,000/(1 + 0.10) + $550,000/(1 + 0.10)2 + $210,000/(1 + 0.10)3 + $126,000/(1 + 0.10)4 + $75,600/(1 + 0.10)5
= -$900,000 + $272,727.27 + $452,892.56 + $152,979.17 + $80,362.63 + $42,429.59
= $101,392.22
The project's NPV is $101,392.22 when the cost of capital is 10%.When the NPV is zero, it is called the project's Internal Rate of Return (IRR). The NPV is positive when the cost of capital is below the IRR, and the NPV is negative when the cost of capital is above the IRR. When the IRR is less than the cost of capital, the project is unprofitable.The following table shows the NPV of the project at various costs of capital:The NPV of the project is $0 when the cost of capital is around 31%, and the project becomes unprofitable beyond this point.
To know more about cost visit:
https://brainly.com/question/17120857
#SPJ11