For each differential equation below, find the form of the particular solution y(t) implied by the method of undetermined coefficients. (You need not actually determine the coefficients.) (a) 2y" + y - y = 38" + 4 cos 24 (1) 1-6y' +13y = tecos 2
Answers
The function tcos2t in the differential equation has a degree of two. Thus, the form of the particular solution contains the product of polynomial and trigonometric functions. Hence, we found the forms of the particular solutions implied by the method of undetermined coefficients for both the differential equations (i) and (ii).
The given differential equations are, 2y" + y - y = 38" + 4 cos 24 ...(i) 1-6y' +13y = tecos 2 ...(ii)The method of undetermined coefficients helps to find the particular solution for a non-homogeneous differential equation by guessing a form of the solution depending on the function of f(x) in the differential equation.
In this method, the general form of the particular solution depends on the degree and nature of the function in the non-homogeneous differential equation. The degree of the function in the non-homogeneous differential equation helps to determine the number of guesses for the particular solution. (a) For the differential equation (i), the form of the particular solution can be taken as Y_p (t) = Acos 24t + Bsin 24t + C.
The function 4cos24t in the differential equation has a degree of one. Thus, the form of the particular solution contains the product of trigonometric functions. (b) For the differential equation (ii), the form of the particular solution can be taken as Y_p (t) = Atcos2t + Btsin2t.
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Related Questions
The last one under m<1+m<3 is m<5+M<6
Answers
Answer:
the first answer choice
Step-by-step explanation:
have a great day :D
please help asap
with detailss
Answers
The side lengths of the triangle APC are a = 11.4 m, p = 13.2 m and c = 18.1 m
How to determine the triangle APCFrom the question, we have the following parameters that can be used in our computation:
Triangle CAP:
c = 18.1 m, a = 11.4 m and p = 13.2 m
For the triangle APC, we have the following vertices
a, p and c
These are the same vertices in the triangle CAP
This means that
The side lengths of the triangle APC the same as the side lengths of the triangle CAP
And these side lengths are: are a = 11.4 m, p = 13.2 m and c = 18.1 m
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A street light is 7.5 feet tall casts a 3-foot-long shadow A nearby flagpole casts a 16.5 foot long shadow what is the height of the flag pole
Answers
Answer:
h = 41.25 foot
Step-by-step explanation:
Given that,
Height of a street light = 7.5 feet
It casts a 3-foot-long shadow.
A nearby flagpole casts a 16.5 foot long shadow. We need to find the height of the flag pole. Let the height be h. It can be calculated as :
\(\dfrac{\text{height of street light}}{\text{height of shadow of street light}}=\dfrac{\text{height of flagpole}}{\text{height of shadow of the flag pole}}\\\\\dfrac{7.5}{3}=\dfrac{h}{16.5}\\\\h=\dfrac{7.5\times 16.5}{3}\\\\h=41.25\ foot\)
So, the height of the flag pole is equal to 41.25 foot.
The height of the flag pole is 41.25 feet tall.
Word problems in mathematics are methods used to solve real-life cases. They usually follow a logical approach with the use of arithmetic operations when solving them.
From the parameters given:
If 7.5 feet tall casts = 3-foot long shadowLet the height of the flag pole be = x
∴
(x) feet tall casts = 16.5 foot long shadow.To determine the height of the flag pole, we have:
\(\mathbf{x = \dfrac{7.5 feet \ tall \times 16.5 \ foot \ long} {3 \ foot \ long} }\)
x = 41.25 feet tall
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3. Look at the averages for all individuals in your group. Was
the hypothesis you stated in the previous question supported by the
"average data"? Explain your answer!!!
Answers
The improper integral ∫ 1/x dx from 0 to ∞ is divergent. The improper integral ∫ 1/x dx from 0 to ∞ represents the integral of the function 1/x with respect to x over the interval from 0 to positive infinity.
To determine whether this integral is convergent or divergent, we need to evaluate it.
Let's split the integral into two parts: from 0 to 1 and from 1 to ∞.
∫(0 to 1) 1/x dx
This part of the integral is a finite integral, and it can be evaluated as:
∫(0 to 1) 1/x dx = [ln|x|] (0 to 1) = ln(1) - ln(0)
However, ln(0) is undefined, so this part of the integral does not converge.
Now let's evaluate the second part of the integral:
∫(1 to ∞) 1/x dx
This integral represents the area under the curve of the function 1/x from 1 to ∞. This is a well-known integral and is known to diverge. As x approaches infinity, the value of 1/x approaches 0, but it never reaches 0. Therefore, the area under the curve keeps increasing indefinitely, and the integral diverges.
Since either part of the integral diverges, the overall integral ∫ 1/x dx from 0 to ∞ is divergent.
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35% of what number is 35?
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I’ll mark brainly if you answer this
Answers
Answer:
I'm pretty sure it is (c)
Step-by-step explanation:
bc the angle is not read in the right order
Seven subtracted from twice a number gives 41, find this number.
Answers
2x = 48
x = 24
Answer:
2x -7 = 41
2x = 41 +7
2x = 48
x = 24
Solve the inequality.
4(x +3) -72x+3(x + 1)
O A. X<5
O B. X> 3
C.
no solution
D.
all real numbers
Answers
Morgan McGregor
Ratios of Directed Line Segments
May 01, 7:19:52 PM
Watch help video
What are the coordinates of the point on the directed line segment from
(-8, -3) to (7,9) that partitions the segment into a ratio of 2 to 1?
Answer:
?
Submit Answer
attempt 1 out o
Answers
Answer: (7,-6)
Step-by-step explanation:
9-x = 2 --> x=7
-8-y = -2 --> y = -6
B = (7,-6)
The equation of a line is given below.2x+6y=-18Find the x-intercept and the y-intercept.Then use them to graph the line.X-intercept:0Х5?ca loxy-intercept:0?
Answers
Given equation of the line is
\(2x+6y=-18\)Dividing both sides of the above equation by -18, we get
\(\frac{x}{-9}+\frac{y}{-3}=1\)The line cuts the x axis at (-9,0) and the y axis at (0,-3).
Therefore, the x intercept is -9 and the y intercept is -3.
The graph of the line is shown below.
A grinding process has an upper specification of 1.649 inches and a lower specification of 1.507 inches. A sample of parts had a mean of 1.57 inches with a standard deviaiton of 0.026 inches.
Round your answer to four decimal places.
What is the process capability index for this system?
Answers
Answer:
The process capability index for this system is 0.9103
Step-by-step explanation:
Upper specification = 1.649 inches
Lowe Specification = 1.507 inches
Mean = 1.57 inches
Standard Deviation = 0.026 inches
Process Capability Index = PCI
PCI = (Upper specification - lower specification)/6(standard deviation)
So, we get,
PCI = (1.649 - 1.507)/((6)(0.026))
PCI = 0.142/0.156
PCI = 0.9102564
To four decimal places, we get,
PCI = 0.9103
The tables show linear functions representing the cost for purchasing different amounts of broccoli and cauliflower. which function has the greater slope and what does it indicate? the broccoli function has the greater slope, which shows that the cost per pound of broccoli is less than the cost per pound of cauliflower. the broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower. the cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is less than the cost per pound of broccoli. the cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is greater than the cost per pound of broccoli.
Answers
The function that has a greater slope will be B. The broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.
What is a linear function?It should be noted that a linear function simply means a function whose graph is a straight line.
From the information given, the slope will be:
= (y2 - y1(/(x2 - x1)
= (3.6 - 3)/(3 - 2.5)
= 1.2
The slope for broccoli is 1.2
The slope of the cauli flower will be:
= (3.20 - 2.75)/(3.20 - 2.75)
= 1
Therefore, the broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.
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Answer:
B
Step-by-step explanation:
right on 2022 edg
A six-sided die is rolled in a trial. What are the chances that the outcome is 2 or more?
1) impossible
2) Unlikely
3) Even chance
4) Likely
5) Certain
Answers
To have the outcome of 2 or more, we can roll out a 2,3,4,5 or 6.
So, the chance of getting the outcome is 2 or more is 5/6
And, 5/6 is pretty much likely to happen. (around 80% or so)
The table shows conversions of common units of length.
Unit of Length
Customary System Units
Metric System Units
1 inch
2.54 centimeters
1 foot
0.3048 meters
1 mile
1.61 kilometers
Approximately how many inches are in 2500 millimeters?
64 inches
98 inches
635 inches
984 inches
Answers
Answer:
98 inches
Step-by-step explanation:
30 millimeters is 1.18 inches, multiply it by 83 to get 2500 millimeters, Then you get 98
Answer:
The person above me is correct. Therefore you should make him/her brainlyest.
Step-by-step explanation:
i taking the quiz rn
Which term refers to coordination, balance, and orientation in three-dimensional space?
Answers
Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.
The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.
There are three types of equilibrium: stable, unstable, and neutral.
Examples of equilibrium in everyday life:
A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.
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Scenario 1A Calculate the following amounts for a participating provider who bills Medicare and has no deductible left. Submitted charge (based on provider’s regular fee) $650 Medicare participating physician fee schedule (PFS) $450 Coinsurance amount (20% paid by) $ Medicare payment (80 percent of the PFS) $ Provider write-off $ Scenario 1B Calculate the following amounts for a participating provider who bills Medicare and remaining annual deductible for the patient. Submitted charge (based on provider’s regular fee) $650 Medicare participating physician fee schedule (PFS) $450 Patient pays $100 remaining on their deductible $ Remaining amount for Insurance and patient to pay $ (PFS - $100) Coinsurance amount (20% of remaining amount) $ Total paid by patient (deductible & 20% of remaining) $ Medicare payment (80 percent of the remaining amount) $ Provider write-off $
Answers
Scenario 1A:
Coinsurance amount is $90
Medicare payment is $360
Provider write-off is $290
Scenario 1B:
Remaining amount for Insurance and patient to pay is $350
Coinsurance amount is $70
Total paid by patient is $170
Medicare payment is $280
Provider write-off is $370
Scenario 1A:
Submitted charge: $650
Medicare participating physician fee schedule (PFS): $450
Coinsurance amount (20% paid by patient): $
Medicare payment (80% of the PFS): $
Provider write-off: $
To calculate the missing amounts, we can use the provided information:
Coinsurance amount (20% paid by patient):
Coinsurance amount = 20% of the Medicare participating physician fee schedule (PFS)
Coinsurance amount = 0.2 * $450 = $90
Medicare payment (80% of the PFS):
Medicare payment = 80% of the Medicare participating physician fee schedule (PFS)
Medicare payment = 0.8 * $450 = $360
Provider write-off:
Provider write-off = Submitted charge - Medicare payment
Provider write-off = $650 - $360 = $290
Scenario 1B:
Submitted charge: $650
Medicare participating physician fee schedule (PFS): $450
Patient pays $100 remaining on their deductible
Remaining amount for Insurance and patient to pay: $
Coinsurance amount (20% of remaining amount): $
Total paid by patient (deductible & 20% of remaining): $
Medicare payment (80% of the remaining amount): $
Provider write-off: $
To calculate the missing amounts, we can use the provided information:
Remaining amount for Insurance and patient to pay:
Remaining amount for Insurance and patient to pay = PFS - remaining deductible
Remaining amount for Insurance and patient to pay = $450 - $100 = $350
Coinsurance amount (20% of remaining amount):
Coinsurance amount = 20% of the remaining amount
Coinsurance amount = 0.2 * $350 = $70
Total paid by patient (deductible & 20% of remaining):
Total paid by patient = remaining deductible + coinsurance amount
Total paid by patient = $100 + $70 = $170
Medicare payment (80% of the remaining amount):
Medicare payment = 80% of the remaining amount
Medicare payment = 0.8 * $350 = $280
Provider write-off:
Provider write-off = Submitted charge - Medicare payment
Provider write-off = $650 - $280 = $370
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What is the range of the following set?
28, 45, 12, 34, 36, 45, 19, 20
A. 33
B. 57
C. 45
D. 8
Answers
Answer: A. 33
Step-by-step explanation:
45-12= 33
Range = 33
identify the zeros of each function
Answers
(-5,0)
Step-by-step explanation:
Numbers that lie on the x and y axis
Help please
Will give brainest
Answers
Answer:
first option
Step-by-step explanation:
Using the rule of exponents
\((a^m)^{n}\) = \(a^{mn}\) then
\(5^4)^{3}\) = \(5^{4(3)}\) = \(5^{12}\)
Find the determinant of the elementary matrix. (Assume k # 0.) 1 0 0 4k 1 0 0 0 1 I Find 141. Begin by finding 4, and then evaluate its determinant. Verify your result by finding (A) and then applying the formula 14-11- A [21] 14-¹1- Need Help? Readi
Answers
The given matrix is an elementary matrix that represents an elementary row operation of multiplying the second row by 4k. The determinant of this matrix is determinant of the original matrix, which is 4k.
Therefore, the determinant of the given elementary matrix is 4k.
To verify this result, we can also compute the determinant using the formula for a 3x3 matrix. The matrix obtained by applying the elementary row operation to the identity matrix is:
\(\left[\begin{array}{ccc}1&0&0\\0&4k&0\\0&0&1\end{array}\right]\)
The determinant of this matrix is calculated as: det(A) = 1 * (4k) * 1 - 0 * 0 * 0 - 0 * (4k) * 0 = 4k. So, the determinant of the given elementary matrix is indeed 4k, which matches our previous result.
In summary, the determinant of the elementary matrix is 4k, and this can be verified by calculating the determinant using the formula for a 3x3 matrix.
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please answer this question now in two minutes
Answers
Answer:
lines KL and GH are skew
Step-by-step explanation:
they have no intersections nor are they parallel
-9 + 8.3 i just need this and i’m so so confused yes i suck at math lol
Answers
Answer:
-0.7 is the answer
Step-by-step explanation:
=>-9+8.3
=>-0.7
Which of the following is not a differential equation?
I'm having trouble because they all have derivatives?
A) d^2y/dt^2= t^2+(y/4)
B) 4 +y= 2x+dx/dy
C) t^2= s+(ds/dt)^2
D) (x-x^3)dx= 4-y^2
E) y'=0
Answers
Among the given options, y′ = 0 is not a differential equation.
Definition of Differential Equation
A differential equation is defined as a mathematical equation that relates a function to its derivatives or differentials. In other words, a differential equation involves derivatives and differentials of a function.
Differential equations have various applications in several scientific fields. These include mathematics, physics, engineering, biology, economics, and more.
What is y′ = 0?
The derivative of a function with respect to the variable x is given by y′.
The derivative of a function that is constant will always be zero (0). Hence, the differential equation y′ = 0 means that the derivative of the function y with respect to the variable x is zero, which implies that the function is a constant that does not depend on x.
Therefore, y′ = 0 is not a differential equation. It is a first-order ordinary differential equation with constant coefficients.
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The equation 4 + y = 2x + dx/dy (option B) is not a differential equation. It does not follow the general format of differential equations, where a derivative or derivatives are equated to a function.
Explanation:A differential equation is an equation that relates a function with its derivatives. In the options given in the question, we are asked to identify which are not differential equations.
The equation 4 + y = 2x + dx/dy (option B) is not a differential equation. In general, a differential equation should have the derivative or derivatives as part of the equation. However, in the case of option B, the derivative dx/dy is not being equated to a function of x and y, rather it is part of the algebraic equation. Hence B is not a differential equation in the traditional sense.
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Challenge The price of Stock A at 9 am was $14.11. Since then the price has been increasing at
the rate of $0.08 each hour. At noon the price of Stock B was $14.86. It begins to decrease at the
rate of $0.14 each hour. If the two rates continue, in how many hours will the prices of the bao
stocks be the same?
In about
Answers
it would be 6 be cause 14 -8 is 6
Otis had a salad for $4.50, a sandwich for $6.25, and a drink at his favorite restaurant. The tax for the entire meal was $0.54. What was the price of the drink. Meal tax 4.5%
Answers
Answer:
1.25
Step-by-step explanation:
Answer:
wrong
Step-by-step explanation:
1.250 is the correct answer
Alison had 310 rocks in her rock collection. After three months, her collection increases by 40%. How many rocks does Alison have now?
Answers
Answer:
434
Step-by-step explanation:
310 times .4 (percentage) = 124 which is how much she gained, then you add that onto the original amount to find how many she has now, which is 434
Brianna is going to invest in an account paying an interest rate of 5. 2% compounded daily. How much would Brianna need to invest, to the nearest ten dollars, for the value of the account to reach $6,600 in 11 years?
Answers
Brianna would need to invest approximately $3,925 to the nearest ten dollars in order for the value of the account to reach $6,600 in 11 years.
To calculate the amount Brianna needs to invest, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A is the future value of the investment ($6,600),
P is the principal amount (the initial investment we want to find),
r is the annual interest rate (5.2% or 0.052),
n is the number of times the interest is compounded per year (365, since it's compounded daily),
and t is the number of years (11).
Plugging in the given values, we have:
6,600 = P(1 + 0.052/365)^(365 * 11)
Simplifying the equation, we can solve for P:
P = 6,600 / (1 + 0.052/365)^(365 * 11)
Using a calculator or spreadsheet, we find that P ≈ 3,924.70. Rounding to the nearest ten dollars, Brianna would need to invest approximately $3,925 for the value of the account to reach $6,600 in 11 years.
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Simplify: 15.4 + 3.02
Answers
Answer:
18.42
Explanation:
15+3=18
0.4+0.02=0.42
18+0.42=18.42
Please Help 50 POINTS!!
Answers
Answer:
D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)
Step-by-step explanation:
hope this helps
Answer: D has the largest perimeter
Step-by-step explanation:
The top numbers of fractions describe the vertex and the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.
A.
P = 2(11) + 2(3)
P = 22+6
P=28
B.
P = 2(4) + 2(9)
p = 8 +18
P = 26
C.
P = 2(5) + 2(9)
P = 10 +18
P = 28
D.
P = 2(8) + 2(7)
P = 16 +14
P = 30
Explain your reasoning why the negative fraction get smaller the further you go left of zero
Answers
On a number number line, the numbers to the left of zero keeps decreasing in value as we move further left of zero. These numbers on the left of zero are negative numbers. They could also be fractions but since they are on the left of zero, it would always get smaller.