Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)
(a) y = 3sinx
(b) y = 3xsinx - 5xcosx
(c) y = -3 / 2xcosx
(d) y = 3cosx
(e) y = 3 / 2xsinx

Answers

Answer 1

Answer:

C

Step-by-step explanation:

We must compute the derivatives and check if the equation is satisfied.

A. . Differentiate again to get , then  so this choice of y doesn't solve the equation.

B.  and , then  so y is not a solution

C.  hence . Then  so y is a solution.

D. and , then  thus y isn't a solution

E.  hence . Then  then y is not a solution.


Related Questions

X2 - X - 12
what's the answer for this question i am stuck

Answers

Answer:

not enough info

Step-by-step explanation:

not enough info

Find the slope of the line passing through each of the following pairs of points.
(5.7), (-6, -3)
What is this

Answers

Answer: [tex]\frac{10}{11}[/tex]

Step-by-step explanation:

To find the slope, you want to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{-3-7}{-6-5}=\frac{-10}{-11} =\frac{10}{11}[/tex]

Now we know the slope is [tex]\frac{10}{11}[/tex].

Jordan’s credit card has an APR of 10.59%, compounded monthly. He is required to make a minimum payment of 3.96% of his current balance every month. At the beginning of March, Jordan had a balance of $628.16 on his credit card. The following table shows his credit card purchases over the next few months. Month Cost ($) March 50.81 March 48.04 April 77.36 April 32.40 April 49.20 May 25.79 May 79.39 May 79.08 If Jordan makes only the minimum monthly payments in March, April, and May, what will his balance be after he makes the minimum payment for May? (Assume that interest is compounded before the monthly payment is made, and that the monthly payment is applied at the end of the month. Round all dollar values to the nearest cent.) a. $1,094.10 b. $988.97 c. $967.60 d. $1,070.23

Answers

Answer:

b. 988.97

Step-by-step explanation:

got a 100 on the test

The balance at the end of May after the minimum payment is made is

$571.64.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $628.16

r = 10.59%

n = 12

t = 1/12

The amount after March.

A = 628.16 [tex](1 + 0.1059)^{12\times0.08[/tex]

A = $633.48

Monthly payment.

= 3.96/100 x 633.48

= $25.09

Remaining amount.

= 633.48 - 25.09

= $609.39

The amount after April.

A = 609.39 [tex](1 + 0.1059)^{12\times0.08[/tex]

A = $614.55

Monthly payment.

= 3.96/100 x 614.55

= $24.34

Remaining amount.

= 614.55 - 24.34

= $590.21

The amount after May.

A = 590.21 [tex](1 + 0.1059)^{12\times0.08[/tex]

A = $595.21

Monthly payment.

= 3.96/100 x 595.21

= $23.57

Remaining amount.

= 595.21 - 23.57

= $571.64

Thus,

The balance at the end of May is $571.64.

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ3

3. Fill in the blanks so that the answer to this number sentence is correct: 2ab​

Answers

Answer:

where's the question or the picture of the question

I need help with this please

Answers

Answer:

Step-by-step explanation:

For (a), you will use that 2 points that are closest to lying on the line which are the points located at (1, 14) and (7, 7).

For (b), you will use those 2 points to find the slope of the line using the slope formula:

[tex]m=\frac{7-14}{7-1}=\frac{-7}{6}=-1.167[/tex]

For (c), you will use point-slope form to write the equation. Point-slope form is

[tex]y-y_1=m(x-x_1)[/tex] where x and y stay x and y in the equation and x1 and y1 are replaced with one of the coordinates. Let's use (7, 7). Keep in mind that IT DOESN'T MATTER WHICH POINT YOU PICK...YOU WILL GET THE SAME EQUATION WITH EITHER ONE! And this is because both those points lie on the same line...the line for which we will write the equation.

We have m = -1.167, y = 7 and x = 7:

y - 7 = -1.167(x - 7)

That's the point-slope form of the line, but rarely is it ever left in that form. I've only seen it left in point-slope form in calculus. Most of the time, from point-slope form, you are asked to put it into slope-intercept form, and here is no exception. Putting the equation into slope-intercept form is the same thing as solving it for y. So let's get y all by itself on one side of the equals sign and everything else over on the other side. We also of course need to distribute into the parenthesis:

y - 7 = -1.167x + 8.169 and

y = -1.167 + 8.169 + 7 so

y = -1.167 + 15.169

That's your equation in slope-intercept form, so you're done!

Hotel manager salary and 61,410 which is a 15 increase over the previous year salary what was the previous year salary

Answers

do you mean 15% increase?

which operation must you use to calculate the submarine's change in elevation? which word or words in the problem signify this operation?

Answers

The order of operations

Answer:

The problem states that the submarine dives down 115 feet deeper. The words dives and down convey that the submarine dove farther below its initial level. So, I should subtract 115 feet from -502.5 feet.

Step-by-step explanation:

Correct answer

what is 0.004 ⃝ 4.00 *

Answers

0.004 < 4.00

Hope this helps! :)

Marsha was shopping for a new dishwasher and researched the different models she could afford. Using Marsha’s frequency distribution table, determine the median price for dishwashers. Price,p($) Frequency,f 250 2 275 4 280 1 290 2 310 6 315 2 320 1 325 7 330 1 335 1 340 1 350 2 ​

Answers

Answer

310

Step-by-step explanation:

add them all up and divide by 12

How many pounds are equal to 3 tons?​

Answers

Answer:

6000 pounds Hope this helps :)

Step-by-step explanation:

Multiply by mass value 2000

Answer:

6000

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints.
(-1,9) and (-7,1)

Answers

Answer:

1 1/3

Step-by-step explanation:

m=y2-y1/x2-x1

or rise over run

m=1-9/(-7)-(-1)= (-8)/(-6)= 1 1/3

Answer:

11/3

Step-by-step explanation:

Whats the answer for −2 1/2,−5 3/4 The distance between the two numbers is

Answers

Answer:

3 1/4

Step-by-step explanation:

-5 3/4 + 3 1/4 = -2 1/2

The digit 5 in which number represents a value of 0.5? The answers are 5.4, 0.059, and 8.513.

Answers

Answer:

8.513 is the answer

Step-by-step explanation:

The value of 5 in 0.5 is the tenths place, hence if we look at all other options, the values of 5 are 5(ones place), and 0.05(Hundredth), so the option of 8.513 suits the question's answer. Hope this helped, Thank you.

Two similar triangles are shown below: Two triangles are shown. The sides of the triangle on the left are marked 6, 4, 3. The sides of the triangle on the right are marked as 3, 2 and 1.5. For the triangle on the left, the angle between sides marked 4 and 6 is labeled as w, marked by a double arc, and the angle between the sides marked 6 and 3 is labeled as x, marked by a single arc. The third angle is marked by a triple arc. For the triangle on the right, the angle between sides marked 3 and 1.5 is labeled as y and the angle between the sides marked 2 and 3 is labeled as v, marked by a double arc. The angle between the sides 2 and 1.5 is labeled as z, marked by a triple arc, and it is also the angle on the top vertex of this triangle. Which two sets of angles are corresponding angles? (4 points) a ∠w and ∠v; ∠x and ∠y b ∠w and ∠y; ∠x and ∠v c ∠w and ∠z; ∠x and ∠v d ∠w and ∠z; ∠x and ∠y

Answers

Answer:

a.  ∠w and ∠v; ∠x and ∠y

Step-by-step explanation:

We can see that the scale factor is 2

Corresponding sides have length of:

6 and 3;  4 and 2;  3 and 1.5

Therefore corresponding angles, opposite to corresponding sides are:

∠x and ∠y; ∠w and ∠v

Correct answer option:

a.  ∠w and ∠v; ∠x and ∠y

Answer:

His answer is correct!

Step-by-step explanation:

Got it right

33 feet is how many meters? Hint: 1 ft ≈ 0.305 m Round your answer to the nearest tenth. (HELP!)

Answers

Answer:

10.1m

Step-by-step explanation:

1ft = 0.305m

33ft = 33 x 0.305m = 10.065m ≈ 10.1m

33 ft because it’s 33 ft

Jamila paid $6 for a movie ticket, $1.59 for a small box of popcorn, and $2.50 for a drink at a movie theater. Which operation(s) would help Jamila find the total amount she spent at the theater?

Answers

Answer:

addition

Step-by-step explanation:

Answer:

It would be addition since you can see thats litterly the problem

Step-by-step explanation:

The graph of f(x)=2^x is shown in black (k). Match each transformation of this function with a graph below.

Answers

Answer:

Step-by-step explanation:

From the graph attached,

Black curve represents a function f(x) = 2ˣ

When this curve is reflected over the x-axis image of the function will be,

g(x) = -[tex]2^{x}[/tex] [Red curve]

Similarly, curve represented by h(x) = [tex]2^{-x}[/tex] is the blue curve [image of f(x) reflected over y-axis]

When this curve is reflected over the x-axis, image of the function will be,

h'(x) = [tex]-2^{-x}[/tex] [green curve]

[tex]-2^{x}[/tex] → Red

[tex]-2^{-x}[/tex] → Green

[tex]2^{-x}[/tex] → Blue

What are the coordinates of the image of (- 4, 5) under the translation (x,y) (x-3,y+5)

Answers

(-4-3) (5+5) = -7,10

. An airplane took off and reached an altitude of 10,000 feet in 25 minutes. How many feet per minute, on average, did the airplane climb

Answers

Answer:

400 feet per minute

Step-by-step explanation:

Because it's feet per minute, you'll divide 10,000 by 25

400 feet per minute

hope this is good enough

Markel said he has 4 times
as many yellow cars as
blue cars. What is the ratio
for blue cars to yellow
cars?

Answers

Answer:

4:1

Step-by-step explanation:

please help!!! urgent

Answers

Answer:

E

Step-by-step explanation:

is the answer

Translate the following word phrase into an algebraic expression: nine times the difference of 5 and y.

Answers

Hey there! I'm happy to help!

Difference means that you subtract.

5-y

And we multiply this entire thing by 9, giving us 9(5-y).

Have a wonderful day! :D

The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 34i. Which statement must be true about the complex numbers?

Answers

Answer:

The complex numbers have opposite real numbers.

Answer:

The Complex Numbers Have Opposite Real Parts

Step-by-step explanation:

______is 15% of $84,652?

Answers

Answer: $12,697.80

Step-by-step explanation:

To find 15% of $84,652, you want to multiply them together.

0.15×84,652=12,697.80

Now, we know that $12,697.80 is 15% of $84,652.

Evaluate the expression 43+ [(96 = 8) ~ 5] - 42.

Answers

Answer:

233

Step-by-step explanation:

Step-by-step explanation:

43+[(96/8=12)×5]-42

=43+60-42

=103-42

=61

Which statement is true about this function for all values of x < 4

The function is positive.
The function is decreasing.
The function is increasing.
The function is negative.

Answers

Answer:

The Function is Decreasing.

Step-by-step explanation:

I hope this helps you :)

Answer:

I would also say that the function is decreasing.

Step-by-step explanation:

Simplify the expression to a polynomial in standard form:
(x - 2)(x^2 - 2x- 9)

Answers

Answer:

x^3-4x^2-5x+18

Step-by-step explanation:

When you distribute (x-2)  (x^2-2x-9) you get x^3-2x^2-2x^2+4x-9x+18  combine like terms and you get your answer

If the length of a box of Milk Duds box is tripled, how much longer will the box be?​

Answers

Answer:

3x

Step-by-step explanation:

x = original length of the box.

~theLocoCoco

study of class attendance and grades among first-year students at a state university showed that, in general, students who missed a higher percent of their classes earned lower grades. Class attendance explained 36% of the variation in grade index among the students. What is the numerical value of the correlation between percent of classes attended and grade index?

Answers

Yess yes yes yes ffnjtssnm

What is the value of -42 +(5-2)(-6)?

Answers

Answer:

-60

Step-by-step explanation:

-42+3×(-6)

-42-(3×6)

-42-18

-60

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