Use the series that follows, together with integration or differentiation, to find a fourier series for the function p(x) = x(π − x), 0 < x < π.
Answers
The Fourier series with integration or differentiation for p(x) is p(x) = (8/π^2) ∑(n=1 to ∞) [(-1)^n cos(nπ/2)/n^3] sin(nπx/π)
The Fourier series for a periodic function p(x) with period 2L is given by:
p(x) = a0/2 + ∑(n=1 to ∞) [an cos(nπx/L) + bn sin(nπx/L)]
where
a0 = (1/L) ∫(-L to L) p(x) dx
an = (1/L) ∫(-L to L) p(x) cos(nπx/L) dx
bn = (1/L) ∫(-L to L) p(x) sin(nπx/L) dx
To apply this formula to the function p(x) = x(π − x), 0 < x < π, we first note that this function has period π, so L = π/2. Also, the function is odd, so its Fourier series will only have sine terms.
To find the Fourier coefficients, we start with bn:
bn = (1/π) ∫(0 to π) x(π − x) sin(nπx/π) dx
Using integration by parts with u = x, dv = sin(nπx/π) dx, we get:
bn = -2π/(nπ)^2 [(π/2)^2 cos(nπ/2) - nπ/2 sin(nπ/2)]
Simplifying this expression, we get:
bn = (-4/π^2) [cos(nπ/2)/n^2 - π/2n sin(nπ/2)]
Therefore, the Fourier series for p(x) is:
p(x) = (8/π^2) ∑(n=1 to ∞) [(-1)^n cos(nπ/2)/n^3] sin(nπx/π)
This series converges uniformly to p(x) for 0 < x < π, so we can use it to approximate p(x) to any desired accuracy.
To learn more about fourier series click on,
https://brainly.com/question/13419597
#SPJ4
Related Questions
Please help me do this ::)))))
Answers
Answer:
2
Step-by-step explanation:
6x−2=10
6x−2+2=10+2(Add 2 to both sides)
6x=12
6x
6
=
12
6
(Divide both sides by 6)
x=2
Select the correct answer from each drop-down menu. The inequality 5m − 7 > 16 holds true for all numbers _ than _ in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
Answers
The values of {m} that is greater than 4.6 represent the solution of the given inequality.
An inequality is used to compare two or more expressions or numbers.
For example -
2x > 4y + 3
x + y > 3
x - y < 6
The given inequality is -
5m - 7 > 16
Adding 7 on both sides, we get -
5m - 7 + 7 > 16 + 7
5m > 23
m > 23/5
m > 4.6
Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.
To solve more questions on inequality, visit the link-
brainly.com/question/11897796
#SPJ1
Which sequence of transformations proves that shape I is similar to shape II?
Answers
The sequence of transformations that proves that the shapes are similar is given as follows:
B. a reflection across the x-axis, and then a dilation by a scale factor of 1.5
How to obtain the transformations?First, we have that the orientation of the figure, hence it was reflected.
The figure was reflected from the second quadrant to the third quadrant, hence the figure was reflected over the x-axis.
The base segment changes from a length of 2 units to a 3 units, hence the scale factor of the dilation is given as follows:
3/2 = 1.5.
Hence option B is the correct option for this problem.
Missing InformationThe missing parts of the problem are given by the image presented at the end of the answer.
More can be learned about transformations in a figure at https://brainly.com/question/28687396
#SPJ1
Pythagorean Theorem with an Unknown Leg
Answers
Answer:
b = √45
Step-by-step explanation:
As mentioned in the picture :
a² + b² = c²
a=2 , c = 7 (as it is opposite the right angle)
Now we substitute these values :
2² + b² = 7²
4 + b² = 49
Subtract 4 from both sides :
b² = 45
Square root both sides :
b = √45
Hope this helped and have a good day
Answer:
It's got to be either 45 or 6.7
pretty sure that it's 45
Step-by-step explanation:
algorithm: a^2 + b^2 = c^2
substitute: 2^2 + b^2 = 7^2
4+ b^2 =49
4-4 + b^2 = 49-4
49-4=45
b^2=45
Please give me brainliest if this is correct!!!!!
Have a great day and God bless!!!!
How tall is the tree?
5ft
35°
-20ft-
[?]ft
Round to the nearest foot.
Answers
Answer:
19
Step-by-step explanation:
tan35=x/20
20tan35=x
x=14.0041507641942
x+5=19.0041507641942
The nearest foot is 19
Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
Answers
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
For more such questions on future value
https://brainly.com/question/24703884
#SPJ8
Robert spun the fair spinner shown below 1,060 times,
About how many times would Robert expect to spin a 1, 3, or 8?
Answers
Answer:
About 400 times
Step-by-step explanation:
Given
\(n = 1060\)
See attachment for spinner
Required
Determine the number of times an outcome of 1, 3 or 8 is expected
First, calculate the theoretical probability of 1, 3, or 8
This is calculated as:
\(Pr = P(1) + P(3) + P(8)\)
The spinner is divided into 8 equal segments and each outcome appears once.
So, we have:
\(Pr = \frac{1}{8}+\frac{1}{8}+\frac{1}{8}\)
Take LCM and add
\(Pr = \frac{1+1+1}{8}\)
\(Pr = \frac{3}{8}\)
So, the expected number of times (E) is:
\(E = Pr * n\)
\(E = \frac{3}{8} * 1060\)
\(E = \frac{3* 1060}{8}\)
\(E = \frac{3180}{8}\)
\(E = 397.5\)
Approximate
\(E = 398\)
This means about 400 times
Professor A.B.C company opens his own company, Electronic Tutorial Services, and completes the following transactions in June:
6/1 A.B.C company invests 20,000 in the business.
6/3 Purchased 12,100 of equipment.
6/4 Paid 220 premium for an insurance policy.
6/6 Purchased office supplies on Account 140.
6/9 Purchased a new computer for 9,000. Paid 40% cash agreed to pay the remainder Later.
6/10 Billed student Omar 58 for tutorial services that were performed.
6/14 Paid for the supplies purchased on June 6th.
6/15 the owner suggested to purchased new Building for his company by 22,000
6/25 Received 85 cash from student Salim Ali for tutorial services performed.
6/30 Student billed on June 10 pays the amount due to A.B.C company.
6/30 A.B.C company withdraws 60 for personal use.
Required: Prepare the all Accounting Cycles
Answers
In June, A.B.C company invested $20,000, purchased equipment, paid insurance premium, bought office supplies, billed students for tutorial services, received cash, paid for supplies, withdrew personal funds.
Accounting Cycles:
1. June 1:
- A.B.C company invests $20,000 in the business.
- Prepare the journal entry:
- Debit: Cash ($20,000)
- Credit: Capital ($20,000)
2. June 3:
- Purchased equipment for $12,100.
- Prepare the journal entry:
- Debit: Equipment ($12,100)
- Credit: Cash ($12,100)
3. June 4:
- Paid $220 premium for an insurance policy.
- Prepare the journal entry:
- Debit: Insurance Expense ($220)
- Credit: Cash ($220)
4. June 6:
- Purchased office supplies on account for $140.
- Prepare the journal entry:
- Debit: Office Supplies ($140)
- Credit: Accounts Payable ($140)
5. June 9:
- Purchased a new computer for $9,000. Paid 40% in cash and agreed to pay the remainder later.
- Prepare the journal entry for the cash payment:
- Debit: Computer ($3,600) [40% of $9,000]
- Credit: Cash ($3,600)
- Prepare the journal entry for the remaining amount:
- Debit: Computer ($5,400)
- Credit: Accounts Payable ($5,400)
6. June 10:
- Billed student Omar $58 for tutorial services performed.
- Prepare the journal entry:
- Debit: Accounts Receivable ($58)
- Credit: Tutorial Services Revenue ($58)
7. June 14:
- Paid for the supplies purchased on June 6th ($140).
- Prepare the journal entry:
- Debit: Accounts Payable ($140)
- Credit: Cash ($140)
8. June 15:
- The owner suggested purchasing a new building for the company for $22,000.
- No journal entry is required at this point. It is a decision made by the owner.
9. June 25:
- Received $85 cash from student Salim Ali for tutorial services performed.
- Prepare the journal entry:
- Debit: Cash ($85)
- Credit: Accounts Receivable ($85)
10. June 30:
- Student billed on June 10 pays the amount due ($58).
- Prepare the journal entry:
- Debit: Cash ($58)
- Credit: Accounts Receivable ($58)
11. June 30:
- A.B.C company withdraws $60 for personal use.
- Prepare the journal entry:
- Debit: Withdrawals ($60)
- Credit: Cash ($60)
These transactions represent the accounting cycles for the given period.
For more such questions on cash, click on:
https://brainly.com/question/14883253
#SPJ8
Plzzz help me please ??
Answers
A. 4/7 Answer:
B. 60/7 or (8 and 4/7)
Step-by-step explanation:
A. 4 divided by 7 is the same as 4/7
B. 4/7 • 15/1= 60/7
In the expression if 2X=5=8X then 12X= ? you subtract 2X from each sideto get 5=6X then multiply both sides by 2
Why do you multiply both sides by 2
Answers
The value of 12x in the expression is 10
You multiply 5 = 6x by 2 to get 12x
Calculating the value of 12x in the expression
From the question, we have the following parameters that can be used in our computation:
2x + 5 = 8x
You subtract 2X from each side to get
5 = 6x
Then multiply both sides by 2
This gives
10 = 12x
So, we have
12x = 10
Why do you multiply both sides by 2
You multiply by 2 because the question requests for the value of 12x
Since, we have solved for 6x, the next step is to multiply 6x by 2 to get 12x
i.e. 6x * 2 = 12x
Read more about expression at
https://brainly.com/question/4344214
#SPJ1
. In January a baby elephant weighs 180kg.
By March the weight of the baby elephant had increased by ⅜.
Work out the weight of the baby elephant in March
Answers
The weight of the baby elephant in March is 247.5 kg.
What are Fractions?Fractions are type of numbers which are written in the form p/q, which implies that p parts in a whole of q.
Here p, called the numerator and q, called the denominator, are real numbers.
Given that,
Weight of baby elephant in January = 180 kg
By March the weight of the baby elephant had increased by ⅜.
Weight of the baby elephant in March = 180 + (180 × \(\frac{3}{8}\))
= 180 + (67.5)
= 247.5 kg
Hence the weight of the baby elephant is 247.5 kg.
Learn more about Fractions here :
https://brainly.com/question/17724027
#SPJ1
Solve. -5 3/4-3 1/2=?
Answers
Answer: -9 1/4.
Step-by-step explanation:
a machinist is making a gear that will pull a chain at 60 ft/min when rotating at 40 rev/min. What should the radius of the gear be? Answer in inches.
Answers
The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.
To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:
chain speed = 2 x pi x radius x rotational speed
where pi is a mathematical constant approximately equal to 3.14.
We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:
60 = 2 x 3.14 x radius x 40
Simplifying the equation, we get:
radius = 60 / (2 x 3.14 x 40)
radius = 0.2387 ft
To convert feet to inches, we can multiply the answer by 12:
radius = 0.2387 x 12 = 2.8644 inches.
For such more questions on Radius:
https://brainly.com/question/24375372
#SPJ11
Apply The axes in the coordinate grid at the right represent the walls of a bedroom. One corner of the room is at the origin. What is the distance from that corner of the room to the corner of the bed that is farthest away? If necessary, round to the nearest tenth of a foot.
Answers
Answer: 11.2 because I know trust me. I did a worksheet with this same question and got 11.2 and it was correct.
Apply the distributive property to: 3(u+6)
Answers
Answer:
3u + 18
Step-by-step explanation:
times the 3 to both
Answer:
turn it into 3u+18
Step-by-step explanation:
determine the maximum and minimum values of the function, at what values of x are they achieved? (without using a derivative)
\(y=\sin^3x-\sin^6x\)
Answers
The maximum and minimum values of the function is solved
Given data ,
We can find the maximum and minimum values of the function by taking the derivative of y with respect to x and setting it equal to zero.
y = (sin x)³ - (sin x)⁶
y' = 3(sin x)² cos x - 6(sin x)⁵ cos x
Setting y' equal to zero:
0 = 3(sin x)² cos x - 6(sin x)⁵ cos x
0 = 3(sin x)² cos x (1 - 2(sin x)³)
sin x = 0 or (sin x)³ = 1/2
If sin x = 0, then x = kπ for any integer k.
If (sin x)³ = 1/2, then sin x = (1/2)^(1/3) ≈ 0.866. This occurs when x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3 for any integer k.
To determine whether these values correspond to a maximum or minimum, we can use the second derivative test.
y'' = 6(sin x)³ cos² x - 15(sin x)⁴ cos² x - 9(sin x)⁴ cos x + 6(sin x)⁵ cos x
y'' = 3(sin x)³ cos x (4(sin x)² - 5(sin x)² - 3cos x + 2)
For x = kπ, y'' = 3(0)(-3cos(kπ) + 2) = 6 or -6, depending on the parity of k. This means that these points correspond to a maximum or minimum, respectively.
For x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3, y'' = 3(1/2)^(5/3) cos x (4(1/2)^(2/3) - 5(1/2)^(1/3) - 3cos x + 2). This expression is positive for x = π/3 + 2kπ/3 and negative for x = 5π/3 + 2kπ/3, which means that the former correspond to a minimum and the latter to a maximum.
Hence , the maximum value of the function is y = 27/64, which occurs at x = 5π/3 + 2kπ/3, and the minimum value is y = -1/64, which occurs at x = π/3 + 2kπ/3
To learn more about function rule click :
https://brainly.com/question/3760195
#SPJ1
Answer:
maximum: 0.25minimum: -2Step-by-step explanation:
You want the maximum and minimum values of the function ...
y = sin³(x) -sin⁶(x)
SolutionWhen we substitute sin³(x) = z, we have the quadratic expression ...
y = z -z² . . . . . a quadratic function
Adding and subtracting 1/4, we can put this in vertex form:
y = -(z -1/2)² +1/4
MaximumThis version of the function describes a parabola that opens downward and has a vertex at (z, y) = (1/2, 1/4). The y-value of the vertex represents the maximum value of the function.
The maximum value of y is 1/4.
MinimumThe sine function is a continuous function with a range of [-1, 1]. Then z will be a continuous function of x, with a similar range. We already know that y describes a function of z that is a parabola opening downward with a line of symmetry at z = 1/2. This means the most negative value of y will be found at z = -1 (the value of z farthest from the line of symmetry). That value of y is ...
y = (-1) -(-1)² = -1 -1 = -2
The minimum value of y is -2.
__
Additional comment
The range of y is confirmed by a graphing calculator.
<95141404393>
Mookie Betts can run to first base (which is 90 feet) in 3.2 seconds. How fast would he run a 200 yard dash (there are 3 feet in 1 yard)?
Answers
Answer:
21.3 seconds
Step-by-step explanation:
PLS GIVE BRAINLIEST
Answer:
21.3 seconds
Step-by-step explanation:
600 ft (200 yds x 3) divided by 90 ft (length to a base) would be 6.6666667
6.6666667 times 3.2 equals 21.3
iinm
-8/9 + (-2)/57
find the absolute value of the following rational number
Answers
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
For more questions on Rational .
https://brainly.com/question/30339525
#SPJ8
Simplify the expression.
2+2 4+3
O 6
o 7
o 21
067
Yall help this is worth 30 points
Answers
Which number should come next in the series? 13, 57, 911, 1315, 1719?
Answers
Answer:
2123
like 1+4=5
3+4=7
Step-by-step explanation:
All odd numbers beginning from one, in a series.
Also: Starting with 13, add 4 to each digit separately, and continue adding 4 to the result.
Answer:
Solution,
Finding;
Difference between each number
1719-1315=404
1315-911=404
911-57=854
57-13=44
Here,4 is being added to both digits of the number. So the next number will be 17+4=21 and 19+4=23 which is 2123. So the next number to this series will be 2123.
Step-by-step explanation:
Hope it helped you.
I REALLY NEED HELP I DONT UNDERSTAND IT!
Answers
The area of the pentagon using the composite area formula is 37 in².
What is a pentagon?
A pentagon is one of the many types of polygon having five sides and five angles.
To calculate the area of the pentagon, we use the formula below
Formula:
A = BH/2+LW+bL................... Equation 1From the diagram,
Given:
B = 6 inH = 4 inL = 5 inW = 4 inb = 1 inSubstitute these values into equation 1
A = (4×6/2)+(5×4)+(1×5)A = 12+20+5A = 37 in²Learn more about pentagon here: https://brainly.com/question/29673128
#SPJ1
the line with a slope of 9/7 & containing a midpoint of the segment whose end points are (2, -3) & (-6, 5)
Answers
1. Find the midpoint of the segment using the midpoint formula:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)
Midpoint = (-4 / 2, 2 / 2)
Midpoint = (-2, 1)
2. Use the midpoint and the slope to find the equation of the line in point-slope form. The point-slope form is given by:
y - y1 = m(x - x1), where (x1, y1) is the midpoint and m is the slope.
Substituting the values:
y - 1 = (9/7)(x - (-2))
y - 1 = (9/7)(x + 2)
y - 1 = (9/7)x + (18/7)
3. Simplify the equation to obtain the slope-intercept form:
y = (9/7)x + (18/7) + 1
y = (9/7)x + (18/7) + (7/7)
y = (9/7)x + (25/7)
So, the equation of the line with a slope of 9/7 and containing the midpoint of the segment with endpoints (2, -3) and (-6, 5) is y = (9/7)x + (25/7).
Answer:Therefore, the equation of the line with a slope of 9/7 and containing the midpoint of the line segment with endpoints (2, -3) and (-6, 5) is:
y = (9/7)x + 25/7.
Step-by-step explanation:Step 1: Find the midpoint of the line segment.
The midpoint formula is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Given the endpoints of the line segment as (2, -3) and (-6, 5), we can find the midpoint as follows:
Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)
Midpoint = (-4 / 2, 2 / 2)
Midpoint = (-2, 1)
So, the midpoint of the line segment is (-2, 1).
Step 2: Write the equation of the line using the slope-intercept form.
The slope-intercept form of a line is given by:
y = mx + b
where m is the slope and b is the y-intercept.
Given the slope as 9/7, we have:
y = (9/7)x + b
Step 3: Substitute the coordinates of the midpoint to find the value of b.
Using the coordinates of the midpoint (-2, 1), we can substitute these values into the equation:
1 = (9/7)(-2) + b
1 = -18/7 + b
To find the value of b, we can solve this equation:
1 + 18/7 = b
25/7 = b
Step 4: Write the final equation of the line.
Using the value of b, the equation becomes:
y = (9/7)x + 25/7
ASAP HELPPP!!
Before he started washing windows on weekends, Rob had $20. He earned $60 over each of the first three weekends that he spent washing windows. So far, Rob has not spent any of his money.
If n represents a whole number less than or equal to 3, which function shows the total amount of money Rob had after n weekends of washing windows?
A. t(n) = 20 + 60n
B. t(n) = 60 + 20n
C. t(n) = 200n
D. t(n) = 200
Answers
Answer:
A. t(n) = 20 + 60n
Step-by-step explanation:
$20 is the money Rob had before washing windows.
He earns $60 in each of the first three weekends. So he gains an additional $60 for each weekend.
n = the number of weekends
the total amount of dollars he will have is 20 + 60n
Answer:A. t(n) = 20 + 60n
Step-by-step explanation:
$20 is the money Rob had before washing windows.
He earns $60 in each of the first three weekends. So he gains an additional $60 for each weekend.
n = the number of weekends
the total amount of dollars he will have is 20 + 60n
John ordered five large size pizzas for a party. Five kids each ate 1/10 slice, and twelve adults each at 3/10 slices.
a) Find the total number of slices consumed.
41/10
b) Find the leftover pizza if any.
Answers
Answer:
a) 4 1/10 slices eaten
b) cannot be solved because we don't know how many slices in each pizza
Step-by-step explanation:
5*1/10=5/10
12*3/10=36/10
36/10+5/10=41/10
41/10=4 1/10 slices
10x-3(x-6)=x+30 please help me
Answers
Step-by-step explanation:
10x-3(x-6)=x+30
10x-3x+18=x+30
7x+18=x+30
6x=12
x=2
Answer:
x=2
Step-by-step explanation:
10x-3(x-6)=x+30
Distribute
10x -3x+18 = x+30
Combine like terms
7x +18 = x+30
Subtract x from each side
7x-x +18 = x+30-x
6x +18 = 30
Subtract 18
6x+18-18 = 30-18
6x = 12
Divide by 6
6x/6 = 12/6
x=2
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 8. If there were 9854 total votes, how many no votes were there?
Answers
There were approximately 6056 no votes.
Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.
Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.
The total number of votes is given as 9854, so we can set up the following equation:
\(5x + 8x = 9854\)
Combining like terms, we have:
\(13x = 9854\)
To solve for x, we divide both sides of the equation by 13:
\(x = \frac{9854 }{13}\)
\(x \approx 757.23\)
Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.
Now, we can find the number of no votes by multiplying x by the ratio of no votes:
No votes \(= 8x\)
\(= 8 \times 757\)
\(= 6056\)
Therefore, there were approximately 6056 no votes.
For such more questions on votes
https://brainly.com/question/32031211
#SPJ8
If the graph of y=f(x) passes through the point (0,1), and dy/dx=xsin(x^2)/y, then f(x)= ?
Answers
The differential equation
dy/dx = x sin(x ²) / y
is separable as
y dy = x sin(x ²) dx
Integrate both sides:
∫ y dy = ∫ x sin(x ²) dx
∫ y dy = 1/2 ∫ 2x sin(x ²) dx
∫ y dy = 1/2 ∫ sin(x ²) d(x ²)
1/2 y ² = -1/2 cos(x ²) + C
Solve for y implicitly:
y ² = -cos(x ²) + C
Given that y = 1 when x = 0, we get
1² = -cos(0²) + C
1 = -cos(0) + C
1 = -1 + C
C = 2
Then the particular solution to the DE is
y ² = 2 - cos(x ²)
Solving explicitly for y would give two solutions,
y = ± √(2 - cos(x ²))
but only the one with the positive square root satisfies the initial condition:
√(2 - cos(0²)) = √1 = 1
-√(2 - cos(0²)) = -√1 = -1 ≠ 1
So the unique solution to this DE is
y = √(2 - cos(x ²))
Calculate the bearing of Y from X
Answers
Answer:
074°
Step-by-step explanation:
the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY
∠ NXY = 180° - 106° = 74°
the 3- figure bearing of Y from X is 074°
Which list of numbers is in order from least to greatest value? *
Integers
A. |-5|, |-2|, |3|, |4|
B. |-5|. |3|, |-1|, |0|
C. |6|. |7|, |-5|, |28|
D. |0|, |-4|, |5|, |-7|
Answers
absolute value makes the inside positive always
write a function for the table
please help I don't get it
Answers
Answer:
y = 2x - 5
Step-by-step explanation:
Let us consider the points (- 2, - 9) & (0, - 5)
Equation of line in two point form is given as:
[y-(-9)]/[-9-(-5)] = [x - (-2)]/[-2 - 0]
(y + 9)/(-9 +5) = (x + 2)/ (-2)
(y + 9)/(-4) = (x + 2)/(-2)
(y + 9)/(2) = (x + 2)/(1)
(y + 9) = 2(x + 2)
y + 9 = 2x + 4
y = 2x + 4 - 9
y = 2x - 5
This is the required function.