if y=cos x/x
prove d²y/dx² +2/x dy/dx +y = 0​

Answers

Answer 1

Answer:

If

x

y

=

sin

x

, using the product rule:

y

+

x

y

'

=

cos

x

y

'

+

y

'

+

x

y

'

'

=

sin

x

x

+

2

y

'

x

+

y

'

'

+

y

+

x

y

'

=

sin

x

x

+

cos

x

As

y

=

sin

x

x

and

y

+

x

y

'

=

cos

x

:

2

y

'

x

+

y

'

'

+

cos

x

=

y

+

cos

x

⇒y''+2y,

x+y=0


Related Questions

PLEASE HELP CORRECT ANSWERS ONLY 20 POINTS
I have a prism with the dimension of 6cm by 12cm by 15 cm. Calculate the volume of the prism, and then give the dimensions of three different prisms that each have 1/3 of thr volume.
Prism 1
Prism 2
Prism 3

Answers

Answer:

Volume = 1080 cubic cmPrism 1 = 2 cm by 5 cm by 36 cmPrism 2 = 3 cm by 10 cm by 12 cmPrism 3 = 4 cm by 6 cm by 15 cm

====================================================

Explanation:

To find the volume of the current prism, we multiply length width and height to get 6*12*15 = 1080

Take 1/3 of this to get (1/3)*1080 = 360

To find three different prisms where they have a volume of 360, we just need to think of ways to multiply to 360 using 3 numbers.

Here are some possibilities:

2 * 5 * 36 = 3603 * 10 * 12 = 3604 * 6 * 15 = 3604 * 9 * 10 = 3608 * 9 * 5 = 360

There are other possibilities as well, but you only need to pick three from that list. Or you can come up with other combos as well as long as the three numbers multiply to 360.

If we go with the first three rows for prisms 1, 2, and 3 in that exact order, then

prism 1 has dimensions: 2 cm by 5 cm by 36 cmprism 2 has dimensions: 3 cm by 10 cm by 12 cmprism 3 has dimensions: 4 cm by 6 cm by 15 cm

In isosceles triangle NTS, NT ≌ TS. If m∠N = 42° and NS = 30 cm, find the length of the altitude of △NTS. (Round answer to the nearest tenth.)

Answers

Answer:

13.5 cm

Step-by-step explanation:

The altitude of the base of the isosceles triangle bisects the vertex angle, <T, and also bisects the base, NS.

Therefore, NS is divide into two, 15 cm each.

This means we now have two right triangles from the isosceles triangle with the following:

Reference angle = 42°

Opposite = altitude = h

Adjacent = 15 cm

To find h, apply trigonometric function, TOA:

Tan 42 = Opp/Adj

Tan 42 = h/15

15 * Tan 42 = h

h = 13.5060607 ≈ 13.5 cm (nearest tenth)

help ASAP due in 10 min

Answers

Answer:

B

Step-by-step explanation:

the answer is B. Branliest ???

A store pays $110 for a bike. The mark up is 80%. Find the selling price.

Answers

Answer:

22 or 88 srry if im not helpful......

Step-by-step explanation:

110 x 80% = 88

110 - 88 = 22

i think if not then...

110 x 80% = 88

110 + 88 = 198

2/3 x 2/3 *Simply your answer if you can

Answers

Answer:

1 and 1/3

Step-by-step explanation:

2 * 2 = 4, 4/3 is 1 and 1 /3

Answer:

4/9

Step-by-step explanation:

What is the area of the kite below.
15 m
D
3 m
3 m
12 m
С

Answers

51 meters kit below that’s you answer

Help plzz will mark brainlist

Answers

Answer:

the top one!

Step-by-step explanation:

The number of people who have heard a rumor is modeled by the logistic function f(x)=2601+23e−0.06x
, where x is the number of days since the rumor began.

Approximately how many days have passed when the rate at which the rumor spreads begins to decrease?

Answers

Answer:

C

Step-by-step explanation:

The number of people who have heard a rumor is modeled by the logistic function:

[tex]\displaystyle f(x)=\frac{260}{1+23e^{-0.06x}}[/tex]

And we want how many days has passed since the rate at which the rumor spread began to decrease.

First, the numerator tells us that the total number of people who will have heard the rumor by the end is 260.

Recall that the point of maximum growth is always half of the maximum capacity.

In this case, that point will be 260/2 = 130.

For a logistic function, the rate of all values to the left of the halfway point is increasing, (i.e. concave up), while the rate of all values to the right is decreasing (i.e. concave down). Therefore, we can solve for x when f(x) = 130:

[tex]\displaystyle 130=\frac{260}{1+23e^{-0.06x}}[/tex]

Cross-multiply:

[tex]130(1+23e^{-0.06x}})=260[/tex]

Distribute:

[tex]130+2990e^{-0.06x}=260[/tex]

Solving for x:

[tex]2990e^{-0.06x}=130[/tex]

Therefore:

[tex]\displaystyle e^{-0.06x}=\frac{130}{2990}=\frac{1}{23}[/tex]

Taking the natural log of both sides:

[tex]\displaystyle -0.06x=\ln\Big(\frac{1}{23}\Big)[/tex]

Therefore:

[tex]\displaystyle x=\frac{\ln(1/23)}{-0.06}\approx52.3[/tex]

After about 52.3 days, the rate at which the rumor started spreading will begin to decrease.

What is the volume of this cube?

(Answer in decimal form)

Answers

Answer:

74.088

Explanation:

to find the volume of a cube, you do length x height x width. since a cube has equal sides, you would do 4.2 x 4.2 x 4.2.

Find the perimeter of the square shown below.

A=100 cm2

Answers

I can’t see an image.

Egad Smogg is saving for a $250 video game system. He has saved 25% of the money so far. How much more does he need to save?

Answers

He needs $187.50. If he has 25% saved, he needs 75% more money to buy the video game system. Multiply 250 by decimal form of 75%(0.75). This answer will give you the correct answer, $187.50.

Gloria, Scott, and Becky are all moving water into a large barrel. Gloria has moved 12 less than 4 times the number of gallons of water as Scott. Becky has moved 16 less than 6 times the number of gallons of water as Scott. If Gloria and Becky have both moved the same number of gallons of water, how many gallons, g, of water has Scott moved?

Which equation below correctly represents the situation above?
A. 4g - 16 = 6g - 12
B. 4g - 6g - 12 = 16
C. 4 × 6 - 12 × 16 = g
D. 4g - 12 = 6g - 16

Answers

Answer:

B. 4f - 6g - 12=16

Step-by-step explanation:

hope it'll help you mark me as brainliest

PLEASE ANSWER THE PIC BELOW

Answers

The range is the difference between the highest and the lowest numbers in the set. The highest is 68 and the lowest is 39. 68-39=29

can someone pls help me

Answers

Answer:

D) [tex]750(1.02)^t[/tex]

Step-by-step explanation:

All number of years equal the amount when plugged in

ANSWER
The answer is D

I need help with this real quick

Answers

Answer:

19m

Step-by-step explanation:

Multiply 3 and 6m

18m+m

Now you can add to get your answer

19m

Hope this helps!!!

Have a great day!!!!!

Find the distance between the points (-10,-7) and (2,9).

Answers

20 (units)

Distance formula is:

Sqrt of (x-x1)^2+(y-y1)^2

So define which coordinate is (x,y) and what (x1,y1)

I’m going to define (-10,-7) as (x,y) and (2,9) as (x1,y1)

So plug in your variables!

Sqrt(-10-2)^2+(-7-9)^2

Sqrt-12^2+-16^2

Sqrt144+256

Sqrt400

So sqrt of 400 is 20! :))

Find the table using the equation, worth 10 points.

Answers

Answer:

[-1] [0] [1] [2]

Step-by-step explanation:

Filler.

Y=0-1 -> -1
Y=1-1 -> 0
Y=2-1 -> 1
Y=3-1 -> 2

What Is The Highest Common Factor in 160 and 4800​

Answers

Answer: the greast common factor between the two is 160

Step-by-step explanation: Find the prime factorization of 160

160 = 2 × 2 × 2 × 2 × 2 × 5

Find the prime factorization of 4800

4800 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 2 × 2 × 2 × 5

Hope this helps and thanks again for helping me :)

What is the solution of -3x < -21

Answers

9x8

Step-by-step explanation: the 8 is the to the power btw

The temperature in December in Buffalo, New York, is often below 40 degrees Fahrenheit (4 degrees Celsius). Not surprisingly, when the National Football League Buffalo Bills play at home in December, hot coffee is a popular item at the concession stand. The concession manager would like to acquire more information so that he can manage inventories more efficiently. The number of cups of coffee sold during 50 games played in December in Buffalo were recorded.

Required:
a. Determine the mean and median.
b. Determine the variance and standard deviation.
c. Draw a box plot.
d. Briefly describe what you have learned from your statistical analysis.

Answers

Answer:

D. Briefly describe what you have learned from your statistical analysis

Hope this helps!

You estimate that your kitchen remodeling project will require an electrician for 30 hours, a plumber for 33 hours and a carpenter for 18 hours . If the electrician charges $34.75 per hour , the plumber charges $30.00 per hour and the carpenter charges $28.65 per hour, what is the expected cost of labor for the project ?

Answers

The answer to this question is

$2,584.20

A stack of Nichols has a mass of 45 g there are nine Nichols in the stack what is the mass of one nickel

Answers

Answer:

5 grams for each nickle

Step-by-step explanation:

Brainleiest plz.

I divided 45 and 9 and got 5

how do i find the measure of these? i’m lost in math

Answers

Answer: Answers and work are all in the picture that I attached. Hope this helps

The sale price of a diving board is $213. What was the original price if it was 25% off?

Answers

If the original price was 25% off then it would be $284

Which representation models a proportional relationship between x and y? (Look at picture)
х
3
a
х
y
2 20
4 30
6 40
8 50
b
on w
y
18
30
36
60
6
10
101
8
8 6
6
18
16
14
12
104
8
6
4
2
4
2
х
х
0 1 2 3 4 5 6 7 8 9
0 1 2 3 4 5 6 7 8

Answers

Answer:

b)

Step-by-step explanation:

In every single other option, the y is not corresponding in amount to x. However in b), y is 6 times x, making b the correct answer as it is the only solution where y is directly corresponding to x

SOMEBODY HELP ME PLEASE-
If you multiply
5.24 and 6.5
and the answer is
34060
WHERE DOES THE DECIMAL POINT GO?

Answers

Answer:

34.06

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a very good question to know the answer to. It teaches you the art of estimating.  You do that without a calculator.

In this case, just multiply 5 * 6. The answer must be somewhere near 30.

So the decimal goes after the 4.

But your teacher is likely going to want a more formal method. So the formal answer is this: Count the number of decimal places. 5.24 provides 2 decimal places -- the 2 and the 4 are to the right of the decimal.

6.5 adds another one 0.5

Altogether you have 3 decimal places.

Add a decimal after the second 0.

Count 3 places to the left.

You wind up with 34.060 just as you did before.


Graph
X = 2;
Find its intercept(s) and slope.

Answers

Answer:

sorry to tell you this but there is no slope or intercept.

Step-by-step explanation:

Answer:

Only ONE intercept: x = 2 on the x axis

UNDEFINED slope

Step-by-step explanation:

Notice that this equation corresponds to a VERTICAL line, since the value of x is 2 no matter what the value of y is.

Then, we are in the case of a vertical line, where the slope is undefined because it implies a division by zero given that any two points we pick from the line to calculate the slope, will have the SAME x value.

Being a vertical line going through the point x = 2, there is no y-intercept, and the ONLY intercept is with the x-axis at x = 2.

Hellppp plzzz!
Given right triangle DEF, what is the value of cos(F)?​

Answers

The answer to this is A

Dude it is A!!!!!!!!!!!!!!!!!!

Solve the equation using the Zero-Product Property. (x - 8)(5x - 6) = 0

Answers

Answer: 1.2 or 5 (there’s two solutions)

Step-by-step explanation:)

Help me plzzzzzzzzzzzzzzzzzz.

Answers

Answer:

C i think

Step-by-step explanation:

pls mark brainlyest

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