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


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(x-1)(2x-3) OR x= 3/2, 1

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9514 1404 393

Answer:

  CEFA

Step-by-step explanation:

The perimeter is twice the sum of the side lengths.

  P = 2(L+W)

__

1) P = 2(2x +(3x+2)) = 2(5x +2) = 10x +4 . . . . . letter C

2) P = 2((4x+1) +x) = 2(5x +1) = 10x +2 . . . . . . . letter E

3) P = 2(7 +(x+5)) = 2(x +12) = 2x +24 . . . . . . . letter F

4) P = 2(5 +(4x-3)) = 2(4x +2) = 8x +4 . . . . . . . letter A

The code word is CEFA.

From 10:00 am to noon, the rise in temperature is 4 degrees C, and from 3:00 pm to 5:00 pm, the fall in temperature is 6 degrees C. What is the average rate of: a) The rise in temperature per hour? b) The fall in temperature per hour?

Answers

Answer:

(a) 2 degree celsius per hour

(b) 3 degree celsius per hour.

Step-by-step explanation:

From the question,

(a) Avearge rate of rise in temperature per hour(T') = Rise in temperature(T)/Time required for the rise(t).

T' = T/t.................... Euqation 1

Rise in temperature (T) = 4 degree celsius, t = 10.00 am to noon = 2 hours.

Substitute into equation 1

T' = 4/2

T' = 2 degree celsius per hour.

(b) Also,

Average rate of fall in temperature per hour (T') = Fall in temperature (T)/Time(t)

T' = T/t

Given: T = 6 degree celsius, t = 3:00 pm to 5:00 pm = 2 hours

T' = 6/2

T' = 3 degree celsius per hour

I need help with this please help

Answers

Answer:

Step-by-step explanation:

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Examine the diagram, where points B, C, D, and Elie on circle A. Angle BCD measures 57°. В. C A 570 D 2019 Strong Mind. Created using GeoGebra. What is mZBED?​

Answers

Based on the inscribed angle theorem, the measure of angle BED in the diagram given is: 57°.

What is the Inscribed Angle Theorem?

The inscribed angle theorem states the measure of the inscribed angles subtended by the same arc are the same.

∠BCD and ∠BED are subtended by the same arc BD.

Therefore, based on the inscribed angle theorem, we have:

m∠BCD = m∠BED = 57°.

m∠BED = 57°

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Answers

Answer:

the answer is 10

Step-by-step explanation:

I just puted value and calculated it's simple

An investment banker received a bonus and invested that money in two investments. He put a certain sum
of money in the first investment that returned 7% interest after one year. In the second investment he
Invested four times that of the first investment and got a 12% interest return after one year. If the total
interest from his investments after one year was $8,525.00, find the amount invested at each interest rate.

Answers

Answer:

Step-by-step explanation:

An investment banker received a bonus and invested that money in two investments. He put a certain sum

of money in the first investment that returned 7% interest after one year. In the second investment he

Invested four times that of the first investment and got a 12% interest return after one year. If the total

interest from his investments after one year was $8,525.00, find the amount invested at each interest rate.

Lines Line D E and Line A B are parallel. Lines D E and A B are parallel. Angles B and D are alternate interior angles. Which angles represent alternate interior angles

Answers

Answer:

Angles B and D

Step-by-step explanation:

Since Lines D E and Line A B are parallel hence

The angles that will represent alternate interior angles will be

Angles B and D

This is because when two parallel lines are cut  through by a transversal, the corresponding angles are congruent .

Answer:

B

Step-by-step explanation:

i’m so confused lol need help

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-10 and -1

Step-by-step explanation:

Answer:

-10, and -1

Step-by-step explanation:

You start at (0, -2). You move left 3 units and down 2 units. Where do you end?​

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Answer:

(3, -4)

Step-by-step explanation:

Hope This Helps! : )

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Answers

Answer:

I think it's B I really don't know though

Answer is B
Y-0=1/2(X-3)
Y=1/2X- 3/2

The price per share of a professional sports team increased from $58 to $65 over the past year. What is the stock’s percent increase during this time? Round your answer to the nearest percent.

Answers

Answer:

95.7%

Step-by-step explanation:

i think im not too  sure im sorry if you get it wrong

help please I need to pass

Answers

Answer:

A. 7.3x + 9.6y +3.4z

hope this answer helps you.....

Answer:

B

Step-by-step explanation:

I hope what I've written helps yyou.

what is the area of the trapezoid below? 26 m 19 m. 46 m

Answers

Answer: 684!

Step-by-step explanation: A= (b1+b2)h divided by 2, base one is 26, base twow is 46, and height is 19, b1 is base one b2 is base 2 , and h is height.

Your answer:

Your answer is 684

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you have to attach a picture or type the question so we can solve it :)

you have to attach a pic or problem so we can help

Bartolo is making cookies to take to his class. He wants to make 1 1/2 times the recipe because he has 18 students in his class. How much sugar will he need

Answers

Whatever the recipe says, multiply it by 1.5

Roy hit 3 less than 4 times the number of balls during baseball practice than Joe did. Together the boys hit 52 balls. How many balls did Joe hit?

Answers

Make a equation
Joe = x
Roy = 4x - 3
They add up to 52 balls
x + 4x - 3 = 52
5x - 3 = 52
5x = 55, x = 11
Since Joe is x, he hit 11 balls

Answer:

Joe hit 11 balls       Roy hit 41

Step-by-step explanation

Joe = J

Roy = 4J-3 (4times Joe  less 3)

J+ 4J-3 = 52

5J -3 = 52

Add 3 on both sides  

5J = 55

Divide both sides by 5

J= 11

Joe = 11

11X4 = 44

44-3 = 41

Roy 41

11+41 = 52

Which of the following best describes these pair of angles?

Answers

The answer is Supplementary

Awad claims that when m is a negative integer and n is a positive integer, n - m is always negative. Is Awad’s claim true or false? Explain your reasoning. If it is true, give an example to support his claim. If it is false, give a counterexample. Explain your reasoning..

Answers

Answer:

False

Step-by-step explanation:

False, because whenever you subtract a negative number, you always end up adding because two negatives make a positive. Lets say n is 4 and m is -3, 4-(-3) is going to turn into 4+3=7.

The Awad'claims that "when m is a negative integer and n is a positive integer, n - m is always negative". which is false.

What is the number system?

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.

Awad claims that when m is a negative integer and n is a positive integer, n - m is always negative.

The above claim is false because subtracting a negative integer always results in an addition because two negatives equal a positive.

For example, n is 6 and m is -2; 6 -(-2) will equal 6 + 2 = 8.

Hence, the Awad'claims that "when m is a negative integer and n is a positive integer, n - m is always negative". which is false.

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On a road trip, you stop to get gas when there is 1 4of a tank of gas left. You get the tank filled and this takes 12 gallons of gas. How much gas does the car's tank hold?

Answers

Answer: 16 gallons

Step-by-step explanation:

Since we are given the information that 1/4 of the gas is left, it simply means that (1 - 1/4) = 3/4 has been used.

The tank was filled and this was 12 gallons of gas.

Let the gas that the tank hold be represented by x. Therefore,

3/4 of x = 12

3/4 × x = 12

0.75x = 12

x = 12/0.75

x = 16

The tank holds 16 gallons of gas.

Guys I really need help on this. Would yall help me find x?

Answers

It is easy X Is at the tope.

Which of the following could be the graph of y = –xn where n is odd?

Answers

Answer:

Step-by-step explanation:

I think you meant y = -x^n, where ^ denotes exponentiation.

If n is odd, the graph begins in Quadrant II and decreases through the origin into Quadrant IV.  This is true of -x, -x^3, -x^5, and so on.

its the last one on edge

Name the x-axis of symmetry for the parabola down below

Answers

Answer:

x = - 3

Step-by-step explanation:

The axis of symmetry is a vertical line passing through the vertex of the parabola with equation

x = c

where c is the value of the x- coordinates the line passes through

The line passes through (- 3, - 6), (- 3, 4 ) with x- coordinates - 3

Then equation of axis of symmetry is x = - 3

PLZ HELPLPLPLPLP!!!!

Answers

Answer:

c) 50

Step-by-step explanation:

√36 + 2 * 5^2  - 6

√36 = 6, 5^2 = 25

6 + 2 * 25 - 6 = 25 2 * 25 = 50, 6 + 50 - 6, 50

find the missing side lengths for x and y

Answers

Answer:

[tex]x=4;\ y=4\sqrt{2}[/tex]

Step-by-step explanation:

[tex]x=4[/tex] since it is an isosceles triangle.

[tex]y=\sqrt{4^2+4^2}=\sqrt{32}=4\sqrt{2}[/tex] due to Pythagoras' theorem.

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Answers

Uhhh ur screen is blurry..post it again and I’ll answer it

Enoch is two times as old as MARTIN.three years ago,the difference between their ages was fifteen years.find their present ages

Answers

9514 1404 393

Answer:

Enoch is 30Martin is 15

Step-by-step explanation:

The difference in ages remains the same over time. Enoch, at twice Martin's age, is still 15 years older. That means Martin is 15 and Enoch is 30.

Find the surface area of each pyramid round to the nearest tenth if necessary

Answers

Answer:

145.9

Step-by-step explanation:

Answer: 145.9 is your answer!

Step-by-step explanation:

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Answers

Answer:

C) y = 2x

Step-by-step explanation:

That's the only equation that if x = 0, y will = 0

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

A

y = x + 1 ← has a y- intercept of 1

B

y = x - 1 ← has a y-intercept of - 1

C

y = 2x ← has a y- intercept of 0

D

y = 2x + 2 ← has a y- intercept of 2

Thus y = 2x passes through the origin → C

a shop keeper M sells some goods to N and makes a profitbof 15%.N resells to P at a loss of 5%.If P pays birr 13.11 how much did M pays for the goods?​

Answers

Answer:

15.83

Step-by-step explanation:

13.11 / 100 = 0.1311

0.1311*5=5%=0.6555

13.11+0.6555=13.7655

13.7655/100=0.137655 * 15 -->15%=2.064528

13.7655+2.064528=15.830325

Answer:

ya the 15 sth like that I think

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