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Zarrin [17]
2 years ago
13

X^4-x^3.Please help me solve this.​

Mathematics
1 answer:
Keith_Richards [23]2 years ago
7 0

Answer:

you cant subtract they arent the same

Step-by-step explanation:

you cant

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A mass of 3.25 kg is attached to the end of a spring that is stretched 22 cm by a force of 15 N. It is set in motion with an ini
mylen [45]

Answer:

Step-by-step explanation:

Given that,

Mass of object=3.25kg

The extension e=22cm=0.22m

Force applied to cause extension F=15N

Initial position Xo=0

Initial velocity Vo=-12m/s

We can get the spring constant from Hooke's law

F=ke

Then, k=F/e

k=15/0.22

k=68.182N/m

Also our natural frequency w is given as

w=√(k/m)

Therefore,

w=√(68.182/3.24)

w=√20.98

w=√21

w=4.58rad/s

w=4.6rad/s

There is no damping in this situation, no outside force acting on the system and the equation that governs the system is

mx''+kx=0

3.25x''+68.182x=0

Divide through by 3.25

x''+20.98x=0

We can approximate 20.98 to 21

x"+21x=0

The solution to this differential equation using D operator

D²+21=0

D²=-21

D= ±√-21

D=±√21 •i

Then the solution is

x(t)=A•Sinwt +B•Coswt

x(t)=A•Sin√21 t +B•Cos√21 t

Note that x'(t)=v(t)

and at t=0 Vo=-12m/s

x(t)=A•Sin√21 t +B•Cos√21 t

x'(t)=v(t)=A√21•Cos√21 t - B√21•Sin√21 t

v(t)=A√21•Cos√21 t - B√21•Sin√21 t

Then, using the two initial conditions

v(0)=-12

And X(0)=0

x(t)=A•Sin√21 t +B•Cos√21 t

X(0)=A•Sin√21•0 +B•Cos√21•0

X(0)=A•Sin0+B•Cos0

0=B

B=0

Also,, V(0)=-12m/s

v(t)=A√21•Cos√21 t - B√21•Sin√21 t

V(0)=A√21•Cos√21•0- B√21•Sin√21•0

V(0)=A√21•Cos0- B√21•Sin0

-12=A√21

Therefore,

A=-12/√21

A=-2.62

Therefore the general equation becomes

x(t)=A•Sin√21 t +B•Cos√21 t

x(t)=-2.62Sin√21 t +0•Cos√21 t

x(t)=-2.62Sin√21 t

a. The amplitude

Comparing x(t) to wave equations

x(t)=-Asin(wt+2λ/t)

Then,

A=2.62m

b. We know the natural frequency already to be

w=√21

w=4.58rad/s

c. Period

Comparing the equation again

wt=√21t

Given that w=2πf

Therefore, 2πft=√21t

Then, f=√21t / 2πt

f=√21/2π

f=0.73Hz

Then, period is the reciprocal of frequency

T=1/f

T=1/0.73

T=1.37seconds

The period is 1.37sec,

5 0
3 years ago
Choose the equivalent system of linear equations that will produce the same solution as the one given below.
dmitriy555 [2]
<span>C: 3x + 2y = 6
7x =12


Tell me if this helps, Have a great day!</span>
6 0
3 years ago
Which statement compares the two numbers correctly?
Pie

Hey there! We are given two decimal numbers to compare.

52.311 and 52.31

These two numbers are similar except that 52.311 has another 1 in while 51.31 doesn't.

Keep in mind that 52.31 can also refer to 52.310

So we are comparing 52.311 and 52.310

Since 1 is greater than 0.

52.311 is greater than 52.31 (52.311 > 52.31)

Let me know if you have any questions!

Topic: Decimal Numbers

6 0
2 years ago
Please help plssssssss
sergey [27]

Answer:

.38

Step-by-step explanation:

Given that they have green eyes, we only look at the green row

Total is 3+5+5 = 13

Red hair is 5

P( red hair ) red / total = 5/13 =.384615385

8 0
3 years ago
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What is the slope of line <br> x -3,-2,-1,0<br><br> y 6,4,20? <br> PLEASE HELP ASAP
alekssr [168]
Answer: y=-2x
Solution:

7 0
2 years ago
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