Find A, B so that y = A sin(2) + B cos(2) is a solution to the differential equation
4y'' +y' + 5y = 2 cos(x).
A=
BE
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Answers
If y = A sin(x) + B cos(x), then
y' = A cos(x) - B sin(x)
y'' = -A sin(x) - B cos(x)
Substitute these into the ODE:
4y'' + y' + 5y = 2 cos(x)
4 (-A sin(x) - B cos(x)) + (A cos(x) - B sin(x)) + 5(A sin(x) + B cos(x)) = 2 cos(x)
(-4A - B + 5A) sin(x) + (-4B + A + 5B) cos(x) = 2 cos(x)
(A - B) sin(x) + (A + B) cos(x) = 2 cos(x)
Then
A - B = 0
A + B = 2
Adding these equation gives
(A - B) + (A + B) = 0 + 2
2A = 2
A = 1 → B = 1
Related Questions
100 POINTS! SHOW WORK!
Given : MO bisects
Answers
Answer:
[tex]\huge\boxed{\boxed{\mathcal{C)x=13.25}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:disectsequationPEMDAStips and formulas:disects divide an angel to two equal angleslet's solve:[tex] step - 1 : define[/tex]
[tex]\text{according to the question}[/tex]
[tex] \sf5x - 22 = x + 31[/tex]
[tex] step - 2 : solve[/tex]
[tex] \sf \: add \: 22 \: to \: both \: sides : \\ \sf5x - 22 + 22 = x+31+22\\ \sf 5x=x+53[/tex][tex]\sf\text{ cancel x from both sides}\\ \sf 5x-x=x-x+53\\ \sf 4x=53[/tex][tex] \sf divide \: both \: sides \: by \: 4 \\ \sf \frac{4x}{4} = \frac{53}{4} \\ \sf x = 13.25[/tex]If MO bisects <LMN then m<LMN=2m<LMO
[tex]\\ \sf\longmapsto 5x-22=2(x+31)[/tex]
[tex]\\ \sf\longmapsto 5x-22=2x+62[/tex]
[tex]\\ \sf\longmapsto 5x-2x=62+22[/tex]
[tex]\\ \sf\longmapsto 3x=84[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{84}{3}[/tex]
[tex]\\ \sf\longmapsto x=28[/tex]
toby has already cycled 6 kilometers this year, plus he plans to cycle 14 kilometers during each trip to work. after 3 trips to work, how many kilometers will toby have cycled?
Answers
Answer:
48 kilometers
Step-by-step explanation:
If Toby has traveled to work 3 times, and each time he traveled 14 kilometers, to find out how many kilometers he's traveled total, all you have to do is multiply 14 x 3, which equals 42. To find out how many kilometers he's traveled in all this year, just add the amount of kilometers he has already traveled. (42+6)
Find the surface area of the pyramid. The side lengths of the base are equal.
Thank you in advance
Answers
Answer:
195.6
Step-by-step explanation:
area of base= 1/2 * 8 * 6.9 = 27.6
area of lateral face= 1/2 * 8 * 14 = 56
total surface area = 27.6 + 56 + 56 + 56 = 195.6
The sum of 88 elephants and x
elephants is 145 elephants.
Answers
Hope this helps
Answer:
x=57
Step-by-step explanation:
To solve this problem we need to make an equation to use to solve x.
The sum of 88 and x will equal 145 so the equation will look like this, 88 + x = 145.
Whatever x is, it has to add with 88 to make 145 so we have to use reverse operations.
The opposite of addition is subtraction so we subtract 88 from 145 like so. 145 - 88 = 57, which means x = 57.
If you need me to explain further don’t hesitate to ask me and I hope I helped! :)
Explain answer !
( Will give brainlst)
Answers
Answer:
I think that the answer is m= -5/4
12-17 is -5
-x=-5
x=5
substitute x in to one of them ill ise the top
10+2y=12
-10 from both sides
2y=2
y=1
substitute it in the bottom to check its correct
Sam made fruit punch for a party. He mixed 3 gallons of orange juice, 2 quarts of pineapple juice, 4 pints of cranberry juice, and 6 cups of apple juice. How many quarts did he make in all?
Answers
Answer:
19 quarts
Step-by-step explanation:
you change the measurements to quarts.
Compared to last year, the population of Boom Town has increased 25%. The
population is now 6,600. What was the population last year?
Answers
Answer:
Step-by-step explanation:
1.25p=6600
p=6600/1.25
p=5280
I would like to know the answer
Answers
Answer:
5x^2-2x+4
Step-by-step explanation:
Subtract the x square, x, and numbers
2y = x - 4
4x + 3y = 5
Answers
Answer:
the answer is, {x,y} ={2,1}
Step-by-step explanation:
1) 4x - 3y = 5 2) x + 2y = 4 3) 4•(-2y+4) - 3y = 5 4) - 11y = -11 5) 11y = 11 y = 1 6) x = -2y+4 y = 1 7) x = -2(1)+4 = 2 = {x,y} = {2,1} !!!
I need help 6x-2y=10 x-2y=-5 solve by elimination
Answers
[tex] \begin{cases} 6x - 2y = 10 \\ x - 2y = - 5 \end{cases}[/tex]
Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.
[tex] \begin{cases} 6x - 2y = 10 \\ - x + 2y = 5 \end{cases}[/tex]
There as we can get rid of the y-term by adding both equations.
[tex](6x - x) + ( - 2y + 2y) = 10 + 5 \\ 5x + 0 = 15 \\ 5x = 15 \\ x = \frac{15}{5} \longrightarrow \frac{ \cancel{15}}{ \cancel{5}} = \frac{3}{1} \\ x = 3[/tex]
Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.
[tex]x - 2y = - 5 \\ 3 - 2y = - 5 \\ 3 + 5 = 2y \\ 8 = 2y \\ \frac{8}{2} = y \\ y = \frac{8}{2} \longrightarrow \frac{ \cancel{8}}{ \cancel{2}} = \frac{4}{1} \\ y = 4[/tex]
Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.
Answer Check by substituting both x and y values in both equations.First Equation
[tex]6x - 2y = 10 \\ 6(3) - 2(4) = 10 \\ 18 - 8 = 10 \\ 10 = 10 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]
Second Equation
[tex]x - 2y = - 5 \\ 3 - 2(4) = - 5 \\ 3 - 8 = - 5 \\ - 5 = - 5 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]
Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)
Answer[tex] \begin{cases} x = 3 \\ y = 4 \end{cases} \\ \sf \underline{Coordinate \: \: Form} \\ (3,4)[/tex]
Can y’all help me on question 20?!
Answers
Answer:
372 miles
Step-by-step explanation:
brainliest please
What is the data correlation in the scatter plot below?
Negative
No correlation
Positive
Answers
cual es mayor 3/12 o 3/8
Answers
Answer:
3/8
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
3/12 = 0.25
3/8 = 0.375 este es mayor
30
Which of the following equations represents the line with a slope of 1/7 and a y-intercept of negative 4?
y = -1/7x - 4
y = 1/7x + 4
y = -1/7x + 4
y = 1/7x - 4
Answers
Mr. Twain asked the students in his class to draw the figure below using a scale factor
2 in.
3.1 in.
3.9 in.
4.5 in.
Student
Response
5 in.
Mark
Samantha
6 in.
Divia
1.3 in.
Cheng
0.9 in.
Candice
11.7 in.
Select all students that answered Mr. Twain's question correctly.
Answers
Answer:Mark
Step-by-step explanation:Diva
Answer:
Samantha and Candice
Step-by-step explanation:
In the question it says a scale factor of 3 which means you have to multiply all sides by 3 and when I multiply all sides by 3 ; Samantha and Candice were the correct match.
EASY WORK!!!plz look at the photo.
Answers
Answer:
first one is -6 and +6
Step-by-step explanation:
pls help!
I need help.
If you don't know please don't answer a guess or a silly answer.
If you know for sure please put the answer below and you will get 20 points.
Thank you!
Answers
Answer:
3.
Step-by-step explanation:
Divide the day price by the week and round down.
You get like 3.45, so 3.
hope this helps :)
Step-by-step explanation:
Answer is 3 or 3.45 i think also are you on a quiz on savvas realize or this just work
what is |-2|+|4| help ill do anything!
Answers
Answer:
6
Step-by-step explanation:
The absolute value of -2 is 2 because that is it's distance from 0 on a number line.
Then do the math. 2 + 4 = 6
Answer: 6X HOPE THIS HELPS!
| − 2 | + | 4 |
|-2|+|4|
∣−2∣+∣4∣
Solve
1
Find the absolute value
| − 2 + | 4 |
2 +| 4 | 2
Find the absolute value
Add the numbers
Solution
6
Step-by-step explanation:
Kiemanh is solving the equation 15 r minus 6 r = 36. What is the value of r?
Answers
Answer:
4
Step-by-step explanation:
combine like terms 15r-6r=9
9=36
divide both sides by 9
=4
20 + 60 ÷ 5 + (9 - 4)2
Answers
Answer:
42
Step-by-step explanation:
20 + 60 ÷ 5 + (9-4)2
Use PEMDAS to solve this equation, so first solve what is in the parentheses
20 + 60 ÷ 5 + (5)2
Since there are no exponents, next solve the multiplication
20 + 60 ÷ 5 + 10
Next is division
20 + 12 + 10
Finally, addition
42
1. If AABD - AHGE and AC and HF are angle
bisectors, find x.
B
G
F
24
. م
X
35
E
14
H
Answers
Answer:
9.6
Step-by-step explanation:
Find the diagram attached. Using the similarity theorem of triangles
AC/AD = FH/EH
Given
AC = 24
AD = 35
FH = x
EH = 14
Substitute into the formula
24/35 = x/14
Cross multiply
35×x = 24×14
35x = 336
x = 336/35
x = 9.6
Hence the value of x is 9.6
7. Marie can make 12 small mango pies for every 10 mangoes. How many pie
A. Marie can make 30 pies.
C. Marie can make 50 pies
B. Marie can make 40 pies.
D. Marie can make 60 pies
sorry putol po kasi eto
Answers
Answer:
D. Marie can make 60 pies.
Step-by-step explanation:
In this problem, we know that amount of small mango pies is directly proportional to the amount of mangoes. The amount needed for preparing an amount of pies is calculated by simple rule of three:
A. Marie can make 30 pies.
[tex]x = \frac{10\,mangoes}{12\,pies}\times 30\,pies[/tex]
[tex]x = 25\,mangoes[/tex]
25 mangoes are required for producing 30 pies.
B. Marie can make 40 pies.
[tex]x = \frac{10\,mangoes}{12\,pies}\times 40\,pies[/tex]
[tex]x = 33.333\,mangoes[/tex]
34 mangoes are required for producing 40 pies.
C. Marie can make 50 pies.
[tex]x = \frac{10\,mangoes}{12\,pies}\times 50\,pies[/tex]
[tex]x = 41.667\,mangoes[/tex]
42 mangoes are required for producing 50 pies.
D. Marie can make 60 pies.
[tex]x= \frac{10\,mangoes}{12\,pies}\times 60\,pies[/tex]
[tex]x = 50\,mangoes[/tex]
50 mangoes are required for producing 60 pies.
The complete statement is: Marie can make 12 small mango pies for every 10 mangoes.How many pies can she make with 50 mangoes.
Hence, correct answer is D.
Solve the following variation
If y varies directly as x and y = 9 when x = 3, find y when x = 8.
Answers
Answer: y-9x+3
Step-by-step explanation:
Pls answer this ASAP thank you!
Answers
if lana bought cigarettes for $3.00/pack X 7 packs/week X 52 weeks/year X 10 years, how much would it be?
EASY QUESTION OF THE DAY (whoever answers first gets brainly!)
Answers
Answer:
she would be spening over a thousand dollars
Step-by-step explanation:
Asnwer:
10,920$
Step-by-step explanation:
So if 3.00$ is for one pack and she wants 7 packs then it would be 21$.
But if we also multiply it by 52 weeks then that would be 1,092$.
Then if she's buying that for 10 years then we multiply 10 x 1,092$ which would equal 10,920$
(I'm not completely sure if I did the math right but I'm 90% sure I did because that's what the question is asking.)
What is 3(2x +7x - 5 )
Answers
Answer:
x = 15/27
Step-by-step explanation:
3(2x + 7x - 5)
Distribute the 3
6x + 21x - 15
Combine like terms
27x - 15 = 0
27x = 15
x = 15/27
Answer:
27x - 15 is your expression
Step-by-step explanation:
3 x 2x = 6x and 3 x 7x = 21x so 21x + 6x = 27x and 3 x 5 = 15 so 27x - 15 is your expression
Ay anyone willing to help me with my work kinda lost
Answers
Okaayyy
Set B has the greater mode
helo wat is 9 plus tin plez help also you mom old like prehistoric dinosaur
Answers
Answer:
9 plus ten is 19
Step-by-step explanation:
Answer: 21
Step-by-step explanation:
Actually its 19 but with extreme measures its 21
Does this expression represent the sum 13.76 + 2.8?
fifteen and fifty-six hundredths
Answers
Answer:
False
Step-by-step explanation:
False becuase numbers dont add up
1. If a height of each of the bars in a bar graph get taller as you go from the far left to the far right, the data are:
A. skewed left
B .symmetrical
c skewed right
D. No answer text provided.
2. If the height of each of the bars in a bar graph get shorter as you go from the far left to the far right, the data are:
A. skewed left
B. symmetrical
C. skewed right
D. No answer text provide
3. If the height of the each of the bars in a bar graph as you go from the far left to the right gets taller until you reach the middle and then gets shorter as you continue to the far right, the data are:
Group of answer choices
A.skewed left
B. symmetrical
C. skewed right
D. No answer text provided.
Answers
Answer:
1. Skewed to left (negative)
2. Right skewed (positive)
3. Symmetric
Step-by-step explanation:
