Answer:
Rectangular path
Solution:
As per the question:
Length, a = 4 km
Height, h = 2 km
In order to minimize the cost let us denote the side of the square bottom be 'a'
Thus the area of the bottom of the square, A = 
Let the height of the bin be 'h'
Therefore the total area, 
The cost is:
C = 2sh
Volume of the box, V = 
(1)
Total cost, 
(2)
From eqn (1):
Using the above value in eqn (1):
Differentiating the above eqn w.r.t 'a':
For the required solution equating the above eqn to zero:
a = 4
Also
The path in order to minimize the cost must be a rectangle.
a. I've attached a plot of the surface. Each face is parameterized by
• 
with 
and 
;
• 
with 
and 
;
• 
with 
and 
;
• 
with and ; and
• 
with 
and 
.
b. Assuming you want outward flux, first compute the outward-facing normal vectors for each face.
Then integrate the dot product of <em>f</em> with each normal vector over the corresponding face.
c. You can get the total flux by summing all the fluxes found in part b; you end up with 42π - 56/3.
Alternatively, since <em>S</em> is closed, we can find the total flux by applying the divergence theorem.
where <em>R</em> is the interior of <em>S</em>. We have
The integral is easily computed in cylindrical coordinates:
as expected.
Answer:
Homeostasis: When bacteria or viruses that can make you ill get into your body, your lymphatic system kicks in to help maintain homeostasis.
Metabolism: The processes of making and breaking down glucose molecules are example of metabolism.(respiration and photosynthesis)
Growth:The liver continues to form new cells to replace senescent and dying ones.
Hope these examples help you.
The frequency doesn't change. If the wavespeed increases, then the wavelength must also increase ... It's just the distance the wave travels during each complete wiggle.
