Complete Question
The complete question is shown on the first uploaded image
Answer:
The temperature change is 
Explanation:
From the question we are told that
The velocity field with which the bird is flying is 
The temperature of the room is 
The time considered is t = 10 \ seconds
The distance that the bird flew is x = 1 m
Given that the bird is inside the room then the temperature of the room is equal to the temperature of the bird
Generally the change in the bird temperature with time is mathematically represented as
![\frac{dT}{dt} = -0.4 \frac{dy}{dt} -0.6\frac{dz}{dt} -0.2[2 * (5-x)] [-\frac{dx}{dt} ]](https://tex.z-dn.net/?f=%5Cfrac%7BdT%7D%7Bdt%7D%20%3D%20-0.4%20%5Cfrac%7Bdy%7D%7Bdt%7D%20-0.6%5Cfrac%7Bdz%7D%7Bdt%7D%20-0.2%5B2%20%2A%20%20%285-x%29%5D%20%5B-%5Cfrac%7Bdx%7D%7Bdt%7D%20%5D)
Here the negative sign in
is because of the negative sign that is attached to x in the equation
So
![\frac{dT}{dt} = -0.4v_y -0.6v_z -0.2[2 * (5-x)][ -v_x]](https://tex.z-dn.net/?f=%5Cfrac%7BdT%7D%7Bdt%7D%20%3D%20-0.4v_y%20%20-0.6v_z%20-0.2%5B2%20%2A%20%20%285-x%29%5D%5B%20-v_x%5D)
From the given equation of velocity field



So
substituting the given values of x and t
Good morning.
Lets make the movement function for the dog and cat.
The cat has a start position of
1.5 m(the middle of the room), with an initial speed of
0 and acceleration of
0.85 m/s².
The dog has a start position of
0, an initial speed of
1.5 m/s and acceleration of
-0.1 m/s².
<u>Cat:</u>

<u>Dog:</u>

Let's see if the dog reach the cat. Physically, it means


Now we solve for <em>t</em>:

We have a negative Delta.
Therefore, there is no instant t when the dog reaches the cat.
This involves shooting electrons (from an accelerator) at a target or protons. This technique provided evidence for the existence of quarks. <span>proton-antiproton scattering as well.
</span>hope this helps
Answer:
The frequency is 
Explanation:
From the question we are told that
The time taken for it to decay to half its original size is
Let the voltage of the capacitor when it is fully charged be
Then the voltage of the capacitor at time t is said to be 
Now this voltage can be mathematical represented as

Where RC is the time constant
substituting values





Generally the cross-over frequency for a low pass filter is mathematically represented as

substituting values


Potential energy at any point is (M G H). On the way down, only H changes. So halfway down, half of the potential energy remains, and the other half has turned to kinetic energy. Half of the (M G H) it had at the tpp is (0.5 x 9.8 x 10) = 49 joules.