Pls answer and give explanation will give brainiest

The homogeneous equation

y'' + y = 0

has characteristic equation

r² + 1 = 0

with roots at r = ± √(-1) = ± i, and so the characteristic solution is

y = C₁ cos(x) + C₂ sin(x)

Using the method of undetermined coefficients, suppose

y = a x cos(x) + b x sin(x)

(we would normally consider y = a cos(x) + b sin(x), but cos(x) and sin(x) are already part of the characteristic solution)

The derivatives are

y' = a cos(x) - a x sin(x) + b sin(x) + b x cos(x)

y' = (b - a x) sin(x) + (a + b x) cos(x)

and

y'' = -a sin(x) + (b - a x) cos(x) + b cos(x) - (a + b x) sin(x)

y'' = (-2a - b x) sin(x) + (2b - a x) cos(x)

Then

y'' + y = (-2a - b x) sin(x) + (2b - a x) cos(x) + a x cos(x) + b x sin(x)

7 sin(x) = -2a sin(x) + 2b cos(x)

and it follows that a = -7/2 and b = 0.

So, the general solution to the DE is

y = C₁ cos(x) + C₂ sin(x) - 7/2 x cos(x)

which means the only valid solutions from the given choices are

y = 7 sin(x)

y = 7 cos(x)

Answer: Well my friend, there is not enough info to sole the equation..

Step-by-step explanation:

Answer:

<6

<4

Step-by-step explanation:

Remote interior angle is an interior angle that is not adjacent to the exterior angle of interest.

<6

<4

Answer:

21 x n + 14

Step-by-step explanation:

The number of items in each bag times the number of bags plus the 14 items.

Answer:

1) 1:2          2) 3

3) 1:8         4) 2:7

5) 1:4         6) 3:7

7) 2:5         8) 3:11

9) 2:7         10) 4:7

11) 8:9        12) 7:11

13) 1:2        14) 3

15) 26:27   16) 1:40

17) 1:10       18) 1:100

19) 1000    20) 10

Step-by-step explanation:

Answer:

You have 7,167

Step-by-step explanation:

If this was to be converted into a whole number, it would be:

7,167

Answer:

1) 7/12, 2) 7/24

Step-by-step explanation:

Just plug in the values of c and d.

1) given: c = -1 1/4, d = -1

1/3 * (-1 1/4) - (-1)^3 = -5/12 + 12/12 = 7/12

(-1^3 is -1 (there's a positive in front as well so the negatives cancel out and it's just 1) and then convert everything to a common denominator (which is 12). 1/3 times -1 1/4 becomes -5/12 when you multiple straight across).

2) given: c = 4 1/4, d = 1 1/2

1/3 * (4 1/4 - (1 1/2)^3) = 1/3 * (17/4 - 27/8) = 1/3 * (34/8 - 27/8) = 1/3 * 7/8 = 7/24

(use pemdas/order of operations and solve the exponent first, then the parentheses. 1 1/2^3 is 27/8, and 4 1/4 is 34/8. when you subtract you get 7/8, then you can multiply straight across with 1/3 and you get 7/24.)

Answer:

answer is b

Step-by-step explanation:

Ratio:-

[tex]\\ \sf\longmapsto \dfrac{2}{20}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{10}[/tex]

[tex]\\ \sf\longmapsto 1:10[/tex]

Answer:

$2,365

Step-by-step explanation:

Divide $61,490 by 26...

Answer:

y=7x+18

Step-by-step explanation:

the y intercept is 18 and the slope is 7.

Answer:

1/3

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (0- -3)/(5- -4)

m = 3/9 = 1/3

Answer: $175

Step-by-step explanation:

$7.00 x 15 = $105.00

$105.00 / 3 hours = $35/hr.

$35 x 5 = $175

Answer:

B

Step-by-step explanation:

just look at where the line crosses the coordinate plane

To reach a raise of $ 700, you can sell 20 entire cheesecakes and 63 slices, or 10 entire cheesecakes and 132 slices, or 15 entire cheesecakes and 98 slices.

To determine, if they want to raise at least $ 700, how many of each could they sell, listing three possible combinations of entire cheesecakes and slices of cheesecake the players could sell to reach their goal, the following calculation must be performed:

Therefore, to reach a raise of $ 700, you can sell 20 entire cheesecakes and 63 slices, or 10 entire cheesecakes and 132 slices, or 15 entire cheesecakes and 98 slices.

Learn more about maths in https://brainly.com/question/25903420

Answer:

John can type 53 words per minute

Step-by-step explanation:

You would divide 265 by 5 to get the result of 53.

Answer: John types 53 words a minute

Step-by-step explanation:

1 We know he types 265 words in 5 minutes

2 DIvide 265 by 5 to get one minute

3 the answer is 53, so he types 53 WPM

Answer: $1.45

Step-by-step explanation:

18/12.42 = $1.45

Answer:

the 2 cup bowl

Step-by-step explanation:

it is literally the smallest bowl she can use at her disposal

Answer:

you are correct with the following question

Answer:

See below for answers

Step-by-step explanation:

1) The Fundamental Theorem of Algebra states that in an nth-degree polynomial, there are n zeroes at most, including those that are complex. Therefore, there are 6 zeroes in the function since it's a 6th-degree polynomial.

2) Reduce the polynomial and use the Zero Product Property:

[tex]0=6x^3+25x^2-24x+5[/tex]

[tex]0=(6x^2-5x+1)(x+5)[/tex]

[tex]0=(3x-1)(2x-1)(x+5)[/tex]

[tex]x_1=\frac{1}{3},x_2=\frac{1}{2},x_3=-5[/tex]

Step-by-step explanation:

Domain: x€ [ -7;7]

Range : y€ [-6;4]

For the domain, the graph's x-values are from -7 to 7

For the range, the graph's y-values are from -6 to 4

Answer:

Step-by-step explanation:

The area  of a triangle is equal to half the product of its length (L) because of its height (h).

The base of the triangles is  

The height of the triangles is  

Then the area of one of the triangles is:

The figure is formed by 12 equal triangles, then the area of the figure  is:

Answer:

okayyyyyyyyyyyyyyyy

Step-by-step explanation:

have a nice day

Answer:A 16-ounce can of mixed nuts includes 6 ounces of cashews and 10 ounces of almonds. What is the ratio of almonds to mixed nuts in this can of nuts?

Step-by-step explanation:

Answer:

705.8823529411765

Step-by-step explanation:

You find out what percent the Mini Cooper is a subtract that from the full 100%. You would then have 17%. Now you need to divide the 120 inches by 17 to find out what 1% equals. In this case 7.058823529411765, now you multiply by 100 to get the full 100%. The answer is 705.8823529411765

Answer: 4 gallons = 15 liters, 8 liters = 2 gallons, 12.5 liters = 3 gallons, and 6 gallons = 23 liters.

Answer:

yea no

Step-by-step explanation:

i really don't know sorry tho

Answer:

the answer is B

Step-by-step explanation:

on the Cartesian plane u have to think of the distance from both the positive and negative side

so 3 is 3 units from the origin and -6 is 6 units from the origin

Therefore the total length is 9 (3+6)

And B is the only answer which will give 9

#a

[tex]\\ \sf{:}\dashrightarrow 4^3=(2\times 2)^3=2^6[/tex]

#b

[tex]\\ \sf{:}\dashrightarrow 3^2.3^3=3^5[/tex]

#c

[tex]\\ \sf{:}\dashrightarrow (2^3)^4=2^{12}[/tex]

#d

[tex]\\ \sf{:}\dashrightarrow x^3y^4\checkmark[/tex]

#e

[tex]\\ \sf{:}\dashrightarrow 8x^2y^5=2^3x^2y^5[/tex]

#f

[tex]\\ \sf{:}\dashrightarrow( 9x^2)^2=(3^2x^2)^2=3^4x^4[/tex]

Answer:

228/5= 45.6 inches, rounded is 46 inches