The function f(x)=Acosh(Cx)+Bsinh(Cx). I need help determining the value of constant C>0 when the second derivative f''(x)=25(f(x)).

Answers

Answer 1

Answer:

C = 5.

Step-by-step explanation:

First, you need to remember that:

For the function:

h(x) = Sinh(k*x)

We have:

h'(x) = k*Cosh(k*x)

and for the Cosh function:

g(x) = Cosh(k*x)

g'(x) = k*Cosh(k*x).

Now let's go to our problem:

We have f(x) = A*cosh(C*x) + B*Sinh(C*x)

We want to find the value of C such that:

f''(x) = 25*f(x)

So let's derive f(x):

f'(x) = A*C*Sinh(C*x) + B*C*Cosh(C*x)

and again:

f''(x) = A*C*C*Cosh(C*x) + B*C*C*Sinh(C*x)

f''(x) = C^2*(A*cosh(C*x) + B*Sinh(C*x)) = C^2*f(x)

And we wanted to get:

f''(x) = 25*f(x) = C^2*f(x)

then:

25 = C^2

√25 = C

And because we know that C > 0, we take the positive solution of the square root, then:

C = 5


Related Questions

What is the discriminant of the quadratic equation 0 = 2x2 3x – 5? –37 –31 43 49

Answers

Answer:

49

Step-by-step explanation:

Please I need help ASAP ;-;

Image is above

What is the area of the shaded region?

_____ Square units

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Answer:

164

Step-by-step explanation:

Because 12 times 16 minus 18

96 ft is the answer ....

HELP ASAP


Thor travels 78 miles per hour. How long does it take him to travel 13 miles? Your answer should be in hours, accurate to at least the nearest tenth. ​

Answers

Answer:

0.2h

Step-by-step explanation:

13/78 = 0.16666666666667

Rounded to the nearest tenth is the 0.2

Speed=78mphDistance=13mi

Time

Distance/Speed13/781/60.160.2h

Which expression is equivalent to the expression -3(4x - 2) - 2x? A - 8x B -16. C с - 14x-2 -14r + 6​

Answers

Answer:

-16

Step-by-step explanation:

What are the coordinates of point C?
A (0,0)
B (4,0)
C (0,3)
D ( 0,4)

Answers

Answer:

.

Step-by-step explanation:

Answer:

The correct answer is D. (0,4)

Name two lines that are perpendicular

Answers

Answer:

AE and CE or AB and CD

Step-by-step explanation:

for explanation perpandicalar is to form a right angle =90 and its symbol is □

Answer:

A and C.

Step-by-step explanation:

Hi! Whenever you want to find lines that are perpendicular you have to search between them an 90 angle. Hope it helped!

948954847/15441454746
550084487

Answers

Answer:

whats the question-

Step-by-step explanation:

5. Simpliify.
5.3(-a-2.4b) - 0.4(2a - 0.5b)

Answers

Answer:

-5.3a - 12.72b - 8a² + 2ab

The scale factor from rectangle you UVWX two rectangle STQR is

Answers

Answer:

The scale factor is 1/3

Step-by-step explanation:

Compare side length XW with RQ, the side length decreases from 15 to 5, which is a shrinking by a factor of 1/3, since 5 is 1/3 of 15. You can check this by comparing the sides WV with RS, and since 8 is 1/3 of 24, the scale factor is 1/3 going from UVWX to STQR.

If I helped, a brainliest would be greatly appreciated!

HELPPP ASAP 10 POINTS

Answers

Answer:

4 Acute

Step-by-step explanation:

uwg2vrus7wgwceuwvw.

ramona works in a clothing store where she earns $140 per day plus 14% of her daily sales. she sold $600 in clothing on saturday and $1200 in clothing on sunday

Answers

Answer:

$532

Step-by-step explanation:

($140*2)+(14%*600)+(14%*1200) = $532

Answer:

1424

Step-by-step explanation:

140 + 14%of 600 + 1200 = 1424

I need this down thanks

Answers

Answer:

c

a

Step-by-step explanation:

Answer:

5. is C which is 9.

6. is B which is 37.

Step-by-step explanation:

The first on is C. 9 because to find the interquartile range you need to subtract the upper quartile range by the lower quartile range. The upper is 16 and the lower is 7 so you do 16-7 which is 9.

The last question is B. 37 because the lower quartile range is first line in the box plot which is 37.

Michelle and Natasha each had to repair their new iPhones. The initial cost of each repair is \$100$100. Michelle and Natasha each have two discount coupons. Each of them uses both coupons toward the cost of the repair. One coupon is for \$25$25 off the repair cost and the other coupon is for 20\%20% off the repair cost. Michelle and Natasha use their coupons in a different order, as shown below. Michelle uses the 20\%20% off the repair cost coupon first. She then uses the \$25$25 off the repair cost coupon on the remaining balance. Natasha uses the \$25$25 off the repair cost coupon first. She then uses the 20\%20% off the repair cost coupon on the remaining balance.

Answers

send a picture of the question instead okay I don't understand

Answer:

send a pic of it

Step-by-step explanation:

Will's teacher expressed his social studies quiz grade as 17/20. What is his quiz grade expressed as a percent?

Answers

Answer:

Step-by-step explanation:

0.85%

PLEASE HELP AND EXPLAIN! :)
WORTH 48 POINTS!

Is (2, 6) a solution to this system of equations?

y = x + 4
y = 9x + 10

Answers

Answer:

x=-1/5

y=41/5

I am not able to explain to you how I achieved these results, but at least you can try and see if you can solve the equation.

Answer:

No, (2,6) is not a solution to this system of equations.

Explanation:

Okay so lets restate the question:

Is (2, 6) a solution to this system of equations?

y = x + 4

y = 9x + 10

First, you find the x and y intercepts from the equations stated above.

y=x+4

x intercept(s): (-4,0)

y intercept(s): (0,4)

So for the first equation, (2,6) is not a solution.

Now, we find the x and y intercepts for the second equation.

y=9x+10

x intercept(s): (-10/9,0)

y intercept(s): (0,10)

So for the second equation, (2,6) is not a solution.

Both equations do not have (2,6) involved.

And its 24 points not 48 :((((

Please help me ASAP!

Answers

Answer:

C

Step-by-step explanation:

6 is the smallest so the first one would be c because it is the smallest

WXYZ is a rhombus. What is m of angle XYZ?​

Answers

Answer:

112

Step-by-step explanation:

8x+10=90

8x=80

x=10

180-90-(3x+4)=90-34=56

56×2=112

There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest meter, how many meters are in 396 inches? Enter the answer in the box.

Answers

Hello, I Am BrotherEye

Answer:

Multiply total meters by 100 to get total centimeters:

6 meters x 100 = 600 centimeters.

Now divide total centimeters by 2.554 to get total inches:

600 centimeters / 2.54 = 236.22 inches.

Rounded to the nearest inch = 236 inches.

Step-by-step explanation:

*Important!

You multiply the length of the value by 39.37

Meaning that if you have 6 meters you would

      Multiply it by 39.37 and get 236.22 inches. Please remember these rules for they will assists you in the future.

~

BrotherEye

The Ridgeport school district collected data about class
size in the district. The table shows the class sizes for five
randomly selected kindergarten and seventh-grade
classes.
Number of students in randomly
selected class
Mean Mean absolute
deviation
19
1.6
Kindergarten 17, 17, 21, 20, 20
Seventh 28, 30, 30, 29, 28
grade
29
0.8
Based on these data, which statement is true?

Answers

the answer is....the average size of seventh-grade class is larger but varies less than that of a kidergarten class.

your welcome.

please help me I really need help.... the equation I wrote for part A is p=2b​

Answers

Answer:

independent: b

dependent: p

Step-by-step explanation:

p = 2b

To find p, choose values for b, then do the calculation.

b is independent. You can choose any value for it.

p is dependent since its value depends on the value you chose for b.

)) Layla buys a cookie sheet costing $3.22. She gives the cashier $5.00. The cashier gives
her her change using the least number of coins and bills possible. How many of each coin or
bill does she receive?
))
one-dollar bills
quarters
dimes
nickels
pennies
Submit

Answers

Answer:

1 one-dollar bill

3 quarters

3 pennies

Step-by-step explanation:

5.00 - 3.22 = 1.78

1 one-dollar bill

3 quarters (25 x 3 = 75 cents)

3 pennies (3 x 1 = 3 cents)

Find the mean, median, and mode of the following set.

27, 20, 34, 37, 21, 42, 39

mean: 31.4; median: 35.5; mode: 37
mean: 31.4; median: 34; no mode
mean: 36.7; median: 34; no mode
mean: 36.7; median: 37; no mode

Answers

Answer:

Hi! The answer to your question is B. mean: 31.4; median: 34; no mode

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

based on the mean median and mode calculator, it's:

mean: 31.4; median: 34; no mode

B:)

Can you help me step by step

Answers

Answer:

n = -7

Step-by-step explanation:

n - 7/4 = 35/12 + 5/3n

subtract n from both sides of the equation:

-7/4 = 35/12 + 2/3n

convert -7/4 to -21/12:

-21/12 = 35/12 + 2/3n

add 21/12 to both sides:

0 = 56/12 + 2/3n

convert 2/3n to 8/12n:

0 = 56/12 + 8/12n

subtract 56/12 from each side:

8/12n = -56/12

multiply both side by 12:

8n = -56

divide both sides by 8:

n = -7

Which triangles are similar? A.triangles A and C
B.triangles A,B, and C
C.triangles B and C
D.triangles A and B

Answers

Answer:

C

Step-by-step explanation:

There is no provided context for the question so I gave a logical answer therefore.

You start at (0, 2). You move down 4 units. Where do you end?​

Answers

Answer:

(0, -2)

Step-by-step explanation:

Answer:

(0,0)

Step-by-step explanation:

suppose a circle has a diameter of 20 inches what os its radius? ​

Answers

Answer: 10

Explanation: the radius is always half of the diameter.

Answer:

10 in.

Step-by-step explanation:

Using the formula, d = 2r

r= [tex]\frac{d}{2}[/tex] = [tex]\frac{20}{2}[/tex] = 10 in.

One pair of consecutive sides are congruent
A. Rectangle
B.Square
C.Rhombus

Answers

I think the answer to the questions is letter

C i could be wrong so sorry

B is the correct answer

Use the trigonometric functions to find the value of x.
Write your answer as a decimal rounded to the nearest tenth.

Answers

Answer:

57.8

Step-by-step explanation:

Use Sine

Sin x°=11 ÷13

x°=sin inverse of 11÷13

x°= 57.8°

List the 2 other things ASAP (DONT BE GIVING ME LINKS JUST ANSWER PLZ)

Answers

Answer:

Step-by-step explanation:

it can e the median of AC

and the angle bisector of B

anyone know this?????

Answers

Answer:

WZX=57

Step-by-step explanation:

90-33 = 57

You don't have to use the equation unless you want to check yourself.

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