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Feliz [49]
3 years ago
14

Show by derivation that P=K÷(V_P)​

Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0

Answer:

ω is the angular velocity given by ω=2πf

k is the angular wave number given by – k=2πλ

t is time

x be the position

Vp phase velocity

Vg be the group velocity

The phase velocity of a wave is given by the following equation:

vp=ωk…..(eqn 1)

Rewritting the above equation, we get:

ω=kvp…..(eqn 2)

Differentiating (eqn 2) w.r.t k we obtain,

dwdk=vp+kdvpdk…..(eqn 3)

As vg=dwdk, (eqn 3) reduces to:

vg=vp+kdvpdk

The above equation signifies the relationship between the phase velocity and the group velocity.

Hope you understood the relation between group velocity and phase velocity of a progressive wave.

Follow me please

Mark brainliest

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What is the answer?
Bad White [126]

Answer:

k=3

Step-by-step explanation:

+ we note f(p)= p^{4}+p^{2}  +p -k

+ Because of "p-1 is a factor of f(p)", that means f(p)= (p-1)* g(p)

Then we have f(1)= (1-1)*g(1)= 0* g(1)= 0

+ We replace p=1 in f(p) and we have:

f(1)=0

that means: 1^{4}+1^{2} + 1 - k=0

then 1+1+1-k = 0, 3-k=0 or k=3

Hope that useful for you.

8 0
3 years ago
Which of the following expresses the ratio of 3 inches to 2 yards?
Over [174]
1\ yard=36\ inches\\
ratio:3\ inches:2\ yards\\
2\ yards=72\ inches\\
\\
ratio:
3:72[inches]\\
The\ correct\ answer\ is\ B.
4 0
3 years ago
Read 2 more answers
Negative 20 equals negative 4x minus 6x
trasher [3.6K]
Form an equation using the information given
-4x - 6x = -20
simplify
-10x = -20
then solve by dividing by -10
x = -20/-10
x = 2
3 0
3 years ago
Read 2 more answers
A road sign says:
trasher [3.6K]

Based on the fact that the road sign's distance to Beaston is rounded to the nearest unit, the actual range of possible miles to Beaston is 9.50 ≤ x ≤ 10.49.

<h3>How far is it to Beaston?</h3>

Based on the fact that the miles to Beaston are rounded to the nearest mile, the first thing to do is to find the lowest and highest numbers that can be rounded to 10 miles.

The lowest number that you can round to 10 miles is:

= 9.5 miles

Because of the 0.5 attached to the 9 miles, you will round up to 10 instead of down to 9.

The highest number that you can round to 10 miles at two decimal places is 10.49 miles.

The reason this is the highest is that the 0.4 is the tenths number just before 0.5. This means that you round the whole number down to 10.

Assuming the distance to Beaston is x, the interval would then be:

9.50 ≤ x ≤ 10.49.

In conclusion, the range of miles of Beaston is  9.50 ≤ x ≤ 10.49.

Find out more on interval notation at brainly.com/question/27910869

#SPJ1

5 0
1 year ago
Simplify 8(x+3)^2/2(x+3)
lina2011 [118]

Answer:

4x^3 + 36x^2 + 72x + 36x + 108

4x^3 + 36x^2 + 108x + 108

I really hope this helps you! <3

8 0
3 years ago
Read 2 more answers
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