Answers
The correct option is E. the roots of the auxiliary equation are √6 and -√6.
What are Differential Equations?Differential equations are defined as the equations in which consist of one or more terms which consist of the a dependent variable and it's derivatives with respect to the independent variable.
Given differential equation,
[tex]\frac{d^{2} y}{dx^{2} }[/tex] - 6y = 0
This can be also written as,
y'' - 6y = 0, where y'' indicates the second derivative of y.
Auxiliary equation is the polynomial equation which is found by replacing the right member of a standard differential equation by zero.
To find the roots of auxiliary equation can be found by,
Let m = y', then m² = y''
m² - 6 = 0
m² = 6
m = ± √6
So the roots are √6 and -√6.
Hence the roots of the auxiliary equation of the given differential equation are √6 and -√6.
Learn more about Differential Equations here :
https://brainly.com/question/14620493
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Related Questions
A grocery store manager ordered 243 cases of Cheez its. Each case contains 15 boxes and each box is made up 8 packs of Cheezb its. How many packs of Cheez its did the grocery store manager order?
Answers
Answer:
29160
Step-by-step explanation:
243*15*8
5. A length of rope is 20m long. If I cut it into 10 equal length pieces, how long is
each piece? *
what is given
Answers
20m / 10 = 2m
Each piece is 2m long.
Answer:
each piece is = 3 m long
Step-by-step explanation:
20 /10= 2
The rectangle is rotated 180º counterclockwise about the origin. Which of the following ordered pairs is a vertex of the rectangle’s image?
A.
(-5, 1)
B.
(-4, -1)
C.
(4, -5)
D.
(4, 4)
Answers
The ordered pair is a vertex of the rectangle’s image will be (-4, -1). Then the correct option is B.
What is a transformation of a shape?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.
From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
The rectangle is in the first quadrant then the coordinate of the vertices of a rectangle will be positive (x, y).
The rectangle is rotated 180º counterclockwise about the origin.
The rectangle will be in the third quadrant then the coordinate of the vertices of the rectangle will be negative (-x, -y).
Thus, the ordered pair is a vertex of the rectangle’s image will be (-4, -1). Then the correct option is B.
More about the transformation of the shape link is given below.
https://brainly.com/question/27224339
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solve and receive brain list
Answers
Answer:
it is called COLD DRANK
Step-by-step explanation:
REAPEAT AFTER ME COLD DRANK OK C-O-L-D D-R-A-N-K
Answer:
Step-by-step explanation:
6x + 26 = 8x - 12 ( 1 - 3x )
6x + 26 = 8x - 12 + 36x
Doing like terms on one side,
6x -8x -36x = -12 -26
-38x = -38
x = -38 / -38
x = 1
Hope this helps you. Do vote my answer.
Thanks
AAAHHHHH!!!!!!! SOMEONE HELP!!!!
Answers
Answer:
43.10
Step-by-step explanation:
Je parle une ciart mwoa
THURSDAY Draw this model on a piece of 1 peper. Hank cut his pizza into 10 pieces and ate 6 of the pieces. Rose cut her pizza into 5 pieces and ate the same amount as Hank Show this on the drawing
Answers
Answer:
Rose: 6/5 or 1.2
Hank: 6/10 ÷ 6 = 0.1
Step-by-step explanation:
89% out of 100 that this is correct
equations with variables on both sides that makes the answer x=9
Answers
Answer:
x = 12
Step-by-step explanation:
Answer:
2x=18
Step-by-step explanation:
What is the value of the expression below?
13 - (-9)
Answers
13 - 9 = 4
f(x) = 3sinxº
Find f(22)
Give your answer correct to 3 significant figures.
Answers
Answer:
f(22) = 1.12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 3sinx°
f(22) is x = 22
Step 2: Evaluate
Substitute in x: f(22) = 3sin22°Trig: f(22) = 3(0.374607)Multiply: f(22) = 1.12382Round: f(22) = 1.12en un día de trabajo una pastelería ha producido 100 pasteles, de los cuales (2/5 en fracciones) tienen crema y (1/4 en fracciones) de la producción de pasteles no tiene crema y el resto son díbeticos ¿cuantos pasteles hay para diabéticos?
Answers
tfyhgbuhbj tctf ybubbimihbighv no
Step-by-step explanation:
tdcvyvj j ct ruv yo bb. v
4
Jared has a collection of 90 movies on DVD. If
46 of the movies are comedies, 26 are drama,
and the rest are science fiction, what percent of
the movies are science fiction?
A) 18
B) 20
C) 28
D) 32
Answers
18/90 movies are science fiction
18/90 x 100 = 20%
So it’s B :)
Answer:
It's B but read the other person's explanation it's better than mine would be
Step-by-step explanation:
When finding the volume of a rectangle shaped 3D box, what formula do you use?
Answers
Answer:
length x width x height
l x w x h
Is borrowing money a
Delegated power
Reserved power
Concurrent power
Answers
24 divided by 4 times d
Answers
Answer:
i think 6 not sure tho sorry if its worng
Given m∥n, find the value of x.
Answers
Answer:
53°
Step-by-step explanation:
Of the two lines are parallel then x = 53°
is the ordered pair (1, -3) a solution to
3x + 5y = -8?
Answers
Answer:
Yes give Brainliest
Step-by-step explanation:
To find y place the other terms in the equation to the right
hand side of the equation.
Thus : 5y = 7 - 3x
( now divide both sides by 5 )
⇒ 5y5=7−3x5=15(7−3x)
now will you give brainliest?
Enter
31/100 as a money amount and as a decimal in terms of dollars.
Answers
Answer:
It would be .31 cents, I believe
Step-by-step explanation:
Just divide 31 by 100 and you'll get your answer.
:)
x to the third power =8/27
Answers
Answer:
2/3
Step-by-step explanation:
2/3
combine like terms to create an equivalent expression
3.26d + 9.75d - 2.65
Answers
Answer:
13.01d - 2.65
Step-by-step explanation:
DON'T IGNORE THIS PART!!!
Hmmm... in order to be able to solve these type of expressions and more complex ones, we need to know what like terms are in the first place.
Well, the best definition of like terms is: Terms that have the same exact variables.
Let's see the terms that have the same exact variables! They are 3.26d and 9.75d.
By the way, before we continue--I would like to mention something extremely important: 3.26d and 9.75d are positive, whereas -2.65 is negative (you know, the negative sign appears right before it).
Now, let's add 3.26d and 9.75d. It equals 13.01d.
TIME TO COMBINE!!!
13.01d - 2.65
if
sin150°=1/2 fiind sin75°
Answers
Answer:
thank u for free points
Step-by-step explanation:
......
HELPPPP
the last part says select 3 options
Answers
Answer:
Last three options are correct answers.
Step-by-step explanation:
Hope it helps you in your learning process.
Answer:
Last 3 ones are correct.
Step-by-step explanation:
The first one isn't it, because there needs to be 3 y's.
The second one isn't it, because the numbers equal 112, which isn't equal to 1120.
So it says to select 3, which means that the last 3 ones are correct.
(sorry if I'm incorrect, I'm bad at these questions)
Divide 110 between two friends so that one gets 16 more than the other. solve the equation
Answers
Answer:
47 and 63
Step-by-step explanation:
Let x be the number one friend gets.
This means the second friend will get x + 16
x + x + 16 = 110
2x + 16 = 110
2x = 94
x = 47
One friend gets 47, and the other gets 63
..
There is a 15% off sale on a
PlayStation 5. If the original
cost is $700, what is the
sale price of the
PlayStation?
Answers
Answer:
$595
Step-by-step explanation:
Use distributive property for 3.2= 4/5(b - 5)
Answers
Please help I am giving brainliest!
Answers
Answer:
6.3 in.^2
Step-by-step explanation:
The diameter of the circle is 4 in., so the radius of the circle is 2 in.
[tex] A_{sector} = \dfrac{n}{360^\circ} \pi r^2 [/tex]
The two central angles have a total measure of 60 deg + 110 deg = 170 deg.
The central angle of the shaded sector is 360 deg - 170 deg = 190 deg.
We will use n = 190 deg in the area formula.
[tex] A_{sector} = \dfrac{190^\circ}{360^\circ} \pi (2~in.)^2 [/tex]
[tex] A_{sector} = 6.3~in.^2 [/tex]
(5,1) (3,2) Write the equation in point-slope form
Answers
Answer: y-1=-1/2(x-5)
Step-by-step explanation:
[tex]\frac{2-1}{3-5}[/tex]
-1/2 slope
y-[tex]y_{1}[/tex]=m([tex]x-x_{1}[/tex])
y-1=-1/2(x-5)
y-1=-1/2x +5/2
y=-1/2x+7/2
I need to solve -15 (1/5w -1/3) problem for math class
Answers
-3w-5
hope that helps^^
Which of the following equations are equivalent? Select three options.
2 + x = 5
x + 1 = 4
9 + x = 6
x + (negative 4) = 7
Negative 5 + x = negative 2
Answers
69
Step-by-step explanation:
2+ x = 5
x + 1 = 4
9 + x = 6
x + (negative 4) = 7
Negative 5 + x = negative 2
x + 1 = 4
-5 + x = -2
In all of these, x is positive 3.
Which equation represents the line through the points (3,2) and (-9,6) ?
x + 3y = 9
3x - y = -9
O x - 3y =9
3x + y =9
Answers
Answer:
Step-by-step explanation:
(3,2),(-9,6)
slope = (6 - 2) / (-9 - 3) = -4/12 = -1/3
y = mx + b
slope(m) = -1/3
use either of ur points...(3,2)....x = 3 and y = 2
now we sub into the formula and find b, the y int
2 = -1/3(3) + b
2 = -1 + b
2 + 1 = b
3 = b
so ur equation is : y = -1/3x + 3 <==
James was putting the table cloth back on the table after dinner. The table is 25 inches long and 10 inches wide. If the table cloth hangs 5 inches off each side, what is the area of the table cloth?
Answers
Answer:
3000
Step-by-step explanation:
Answer: 700 square inches
===============================================================
Explanation:
The dimension 25 bumps up to 25+5+5 = 35 since we add two copies of 5 onto it. This is done to account for the portions that hang off the edge.
Similarly, the 10 inch dimension bumps up to 10+5+5 = 20 inches.
The table cloth is 35 inches by 20 inches to give an area of 35*20 = 700 square inches.
Side note: 700 square inches is approximately equal to 4.861 square feet (divide by 144 to convert from square inches to square feet).