CALCULUS: Determine which function is a solution to the differential equation y ' − y = 0.
A. e^2
B. x
C. None of these

Please explain & thank you!

Answers

Answer 1

C: none of these are solutions to the given equation.

• If y(x) = e², then y is constant and y' = 0. Then y' - y = -e² ≠ 0.

• If y(x) = x, then y' = 1, but y' - y = 1 - x ≠ 0.

The actual solution is easy to find, since this equation is separable.

y' - y = 0

dy/dx = y

dy/y = dx

∫ dy/y = ∫ dx

ln|y| = x + C

y = exp(x + C )

y = C exp(x) = C


Related Questions

PRE-CALCULUS HELP
Hi can I please get some help on these two questions, I have to records the answer vocally and am not sure how to complete these last ones.
The point (2,5) is on the terminal side of 0. Explain how to find tan 0

Explain how to convert 42' 35'19' to decimal degrees.

Answers

I’m not sure about this answer sorry.

A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.
How much of the sample will remain after 1 year?

Answers

Answer:

Step-by-step explanation:

1.5×0.5^(⅙) ≅ 1.3 mg

A square has a perimeter of 12x^4 + 36x^3 inches. What is the length of each side?

Answers

Answer:

3x^4+9x^3

Step-by-step explanation:

Perimeter of a square is expressed as;

P = 4L

L is the length of each side

Given

P = 12x^4 + 36x^3

12x^4 + 36x^3 = 4L

4(3x^4+9x^3) = 4L

Divide both sides by 4

4(3x^4+9x^3)/4 = 4L/4

(3x^4+9x^3) = L

L = 3x^4+9x^3

Hence the length of each side is 3x^4+9x^3

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells. Last month he earned a total of $644

Write an equation to determine the number of albums (a)left parenthesis, a, right parenthesis Floyd sold last month.

Find the number of albums Floyd sold last month.

Answers

644=200+12a
a=37

Thank you hope this helps

Someone help me please!

Answers

Answer:

ACD

Step-by-step explanation:

PLZZ mark brainliest!!

Answer:

D i think i havent done this in a while

Step-by-step explanation:

Extra Points and brainliest! Question below

Answers

Answer:

14 one fourths

Step-by-step explanation:

First, we convert 7/2 into a fraction with the denominator of a four. To do this, we multiply the top and bottom by 2. 7*2 is 14, and 2*2 is 4, which gives us 14/4. This means that there are 14 one fourths in 7/2. Hope this helps!

Answer:

14 fourths

Step-by-step explanation:

Hey There!

So to solve this problem we need to divide 7/2 by 1/4

[tex]\frac{7}{2}divided by\frac{1}{4} =14[/tex]

Therefore 14 fourths can go into 7/2

803m
l=803+1,000l how many l
are there​

Answers

Answer:

1,803

Step-by-step explanation:

Ages of Students
All students in an after school martial arts class were
asked their age. The dot plot shows the results of the
survey. How many students were surveyed?
А50 students
C 11 students
B16 students
D 7 students

Answers

Your answer would be C 11 students. Hope this helps <3

3.(06.01 LC) Which point on the scatter plot is an outlier? (5 points) у 70 B 60 50 A 40 30 20 10 0 2 4 6 8 10 12 14 Point A Point B Point C Point D​

Answers

Answer:

point b

Step-by-step explanation:

A checking account contains 6,274.54.how much is left after withdrawing $385.79

Answers

Answer:

$5888.21

Step-by-step explanation:

when you see the words withdrawing remember that u always are subtracting so the equation will be 6274.54 - 385.79.

Which shows the equation below written in the form ax^2+bx+c=0. x+9=4(x-1)^2

Answers

Answer:

[tex]4x^2 - 9x - 5 = 0[/tex]

Step-by-step explanation:

To place the equation in standard form, we expand the operations. So

[tex]4(x-1)^2 = x + 9[/tex]

[tex]4(x^2-2x+1) = x + 9[/tex]

[tex]4x^2 - 8x + 4 - x - 9 = 0[/tex]

Combining the like terms:

[tex]4x^2 - 9x - 5 = 0[/tex]

Can y’all help me on question 16?!

Answers

Answer:

[tex]e^{2} - 21[/tex]

Step-by-step explanation:

Hey there!

Let's get you your answer!

We have to multiply e by e. Then we need to subtract 21 from it. That would look like this: [tex]e^{2} - 21[/tex]

Hope that helps!

Type the correct answer in each box.
Consider the expressions shown below.
А.
B
C с
-872
-
3.5 + 4812
3r + 8 8r2 + 3r
4
Complete each of the following statements with the letter that represents the expression.
-
(3x2 7x + 14) + (5x2 + 41 6) is equivalent to expression
(2x2 – 5x – 3) + (-10x2 + 2x + 7) is equivalent to expression
(12t2 – 2x – 13) + (-4x2 + 5x + 9) is equivalent to expression

Answers

Answer/Step-by-step explanation:

✔️(3x² - 7x + 14) + (5x² + 4x - 6)

3x² - 7x + 14 + 5x² + 4x - 6 (distributive property)

Add like terms

3x² + 5x² - 7x + 4x + 14 - 6

8x² - 3x + 8

Therefore:

✅(3x² - 7x + 14) + (5x² + 4x - 6) is equivalent to expression 8x² - 3x + 8.

✔️(2x² - 5x - 3) + (-10x² + 2x + 7)

2x² - 5x - 3 - 10x² + 2x + 7 (distributive property)

Add like terms

2x² - 10x² - 5x + 2x - 3 + 7

-8x² - 3x + 4

Therefore:

✅(2x² - 5x - 3) + (-10x² + 2x + 7) is equivalent expression to -8x² - 3x + 4

✔️(12x² - 2x - 13) + (-4x² + 5x + 9)

12x² - 2x - 13 - 4x² + 5x + 9

12x² - 4x² - 2x + 5x - 13 + 9

8x² + 3x - 4

Therefore:

✅(12x² - 2x - 13) + (-4x² + 5x + 9) is equivalent expression to 8x² + 3x - 4

Answer:

B, A, C

Step-by-step explanation:

Patrick is reading a book about the history of baseball. The book is 210 pages long; 140 of the pages have illustrations on them. If Patrick opens the book to a random page, what is the probability that the page will have an illustration on it?

Answers

Answer:

Probability: 140/210= 14/21

Point X of triangle XYZ is located at (-5, -6). If triangle XYZ is translated 3 units
down and 1 units left, what are the new coordinates of X??

Answers

Answer:

(-6,-9)

Step-by-step explanation:


What is the area of a rectangle with a length of 5/8foot and a width of 4/9 foot?

Answers

the answer is 20/72 or 5/18

giving brainliest *easy*

Answers

Answer:

(4/3)π m³

Step-by-step explanation:

Volume of sphere = (4/3)πr³

= (4/3)π(1³)

= (4/3)π m³

Answer:

Step-by-step explanation: The formula for the volume of a sphere is 4/3 pi(r)^3, and when you plug in the radius (r=1) into the formula  Hope this helps!

Help me pls i don't got a lot of time

Answers

Answer:

true

Step-by-step explanation:

I swear I know

i know it

Connie had some marbles. She gave 6 to Juan l. Now she has 10 marbles left. How many marbles did Connie have to start with? What equation(s) might represent this story problem?

Answers

16 marbles 16-6 since she she gave 6 and still has 10 left

Which of The Following Equations are true for the number 9 Select all the Apply

A. 4 ÷ [] = 9/4

B. 1/9 = [] ÷ 9

C. 7 ÷ [] = 7/9

D. [] ÷ 1/9 = 81

Ps. the [] are boxes/blank spots​

Answers

Answer:

C and D

Step-by-step explanation:

C. 7 ÷ 9 = 7/9

D. 9 ÷ 1/9 = 9 x 9/1 = 81

HELP ASAP WHAT IS THIS ANSWER

Answers

Answer:

Step-by-step explanation:

x = 1/2 ( a + b)

x = 1/2 (129 + 71)

x = 1/2 (200)

x = 100 °

you just have to remember that formula

Nathan needs to order some new supplies for the restaurant where he works. The restaurant needs at least 571 forks. There are currently 361 forks. If each set on sale contains 10 forks, use the drop-down menu below to write an inequality representing

Answers

Answer:

Nathan must order 21 sets of forks for the restaurant.

Step-by-step explanation:

Since Nathan needs to order some new supplies for the restaurant where he works, and the restaurant needs at least 571 forks since there are currently 361 forks, if each set on sale contains 10 forks, to determine the number of sets to buy you must perform the following calculation:

(571 - 361) / 10 = X

210/10 = X

21 = X

So Nathan must order 21 sets of forks for the restaurant.

A circle is painted in the center of a basketball court. If the diameter of the circle is 12 feet, what is the approximate amount of space inside of the circle? (Use 3.14 as an approximation of pi.)


28.26 square feet

37.68 square feet

113.04 square feet

226.08 square feet

Answers

Answer:

113.04

Step-by-step explanation:

What is the value of p when the expression 2(4 + x) is equivalent to 2(x + p)?

Answers

Answer:

p = 4

Step-by-step explanation:

[tex]2(x+p)=2(4+x)\\x+p=4+x\\p=4[/tex]

P=4 I believe so most likely yes

Which expression is equivalent to 7u+4u?

Answers

Answer:

11u

Step-by-step explanation:

Add 7u and 4u

Hope this helps! :)

Find all real solutions to (x^2+4)(x^3-4x^2-3x+12)=0

Answers

Answer:

x=4 or x=1.732051 or x=−1.732051

Celebrating exactly 8,000 people helped

Find the length of the third side. If necessary, round to the nearest tenth

Answers

Answer:

x=14.28

Step-by-step explanation:

24^2+x^2=28^2, Pythagorean theorem

x^2=28^2-24^2

x^2=(28+24)(28-24)

x^2=52*4

x^2=204

x is around 14.28

Suppose John is a high school statistics teacher who believes that watching many hours of TV leads to lower test scores. Immediately after giving the most recent test, he surveyed each of the 24 students in his class and asked them how many hours of TV they watched that week. He then matched each student's test grade with his or her survey response. After compiling the data, he used hours of TV watched to predict each student's test score. He found the least-squares regression line to be

Answers

This question is incomplete, the complete question is;

Suppose John is a high school statistics teacher who believes that watching many hours of TV leads to lower test scores. Immediately after giving the most recent test, he surveyed each of the 24 students in his class and asked them how many hours of TV they watched that week. He then matched each student's test grade with his or her survey response. After compiling the data, he used hours of TV watched to predict each student's test score. He found the least-squares regression line to be y"  = -1.5x + 85.

He also calculated that the value of r, the correlation, was -0.61.

what is the correct value of the coefficient of determination R² and give a correct interpretation of its meaning

Answer:

Interpretation of coefficient of determination R² = 0.3721

R² = 0.3721, meaning 37.21% of the total variation in test scores can be explained by the least square regression line

Step-by-step explanation:  

Given the data in the question;

the least square regression line is;

y"  = -1.5x + 85

the correlation coefficient r = -0.61

Now, the coefficient of determination R² is square of correlation coefficient r

R² = -61²

R² = 0.3721

Helllllllpppppp please help me

Answers

Answer:

i think maybe j that is what I think

please help asap !!! Which of the following points is a solution to the system of equations shown in the graph above?
A.(-2, 1)
B.(0, 0)
C.(0, 3)
D.(1, -2)

Answers

Answer:

a

Step-by-step explanation:

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