Answer:
Explanation:
Consider that F (any function) <0 .
u(x,y) is a coontinuous function in the closed interval or region R.
Let us consider a point (p,q) that is inside the region and it is a maximum point.
Then it should be must
uxx (p,q) <0 where uxx means double differentiation
and uy(p,q) >0
Since ux(p,q) = 0 = uy(p,q) where ux and uy means single differentiation with respect to x and y respectively.
Say, Maximum limits of the region is T
therefore q<T
then uy (p,q) = 0 if q<T
if q = T then
point (p,q) = (p,T) will be on the boundary of R then we claim that
uy(p,q) >0
Similarly for the minimum also it will work
B. Neutrons or Protons Adding or removing protons from the nucleus changes the charge of the nucleus and changes that atom's atomic number. For example, adding a proton to the nucleus of an atom of hydrogen creates an atom of helium. (Actually, a few neutrons have to be added as well to make the new nucleus stable, but the end result is still helium.)
The 1st example is NOT a longitudinal wave
Explanation:
Waves are periodic disturbance of the space that travel carrying energy but not matter.
Depending on their vibration, waves are classified into two types:
- Transverse waves: in transverse waves, the vibration of the wave occurs in a direction perpendicular to the direction of propagation of the wave. Examples of transverse waves are electromagnetic waves.
- Longitudinal waves: in longitudinal waves, the vibration of the wave occurs in a direction parallel to the direction of propagation of the wave (back and forth), creating regions of higher particle density (compressions) and lower particle density (rarefactions). Examples of longitudinal waves are sound waves.
In this problem we have four options given:
- The first picture represents a transverse wave, because the vibration of the robe is up and down, while the wave propagates on the left-right direction
- The second picture represents a sound wave, which is a longitudinal wave
- The 3rd picture represents a longitudinal wave, since the vibration of the slinky is back and forth along the direction of propagation
- The 4th picture also represents a sound wave, which is longitudinal
Therefore, the only wave which is not longitudinal is the one in the 1st picture.
Learn more about waves:
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(hydrogen) is not a compound because it's not made of more than one element. Yes we have more than one component, but both components are of the same element H.
Something like 
is a compound because it's made of carbon and oxygen (specifically 1 carbon and 2 oxygen), so we have at least two different elements here.
a 10 kg block reaches a point with a velocity of 15 m per second and slides down a rough track my the coefficient of the kinetic energy between the two surface ab and the block iis0.52
