The diameter of the ripple changes by the following equation =
<u></u>
<u>Explanation:</u>
When a pebble or a rock is dropped in the water then the ripples or waves are formed which starts moving radially outward. As the time passes, the radius of the circle increases.
Let D be the diameter of the circle.
will be the rate of change of diameter of the circle with respect to time.
Let A be the area of the circle.
will be the rate of change of area of the circle with respect to time.
Area of the circle = 
So,
![\frac{dA}{dt} = \frac{d [\frac{\pi }{4} D^{2}] }{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%20%3D%20%5Cfrac%7Bd%20%5B%5Cfrac%7B%5Cpi%20%7D%7B4%7D%20%20D%5E%7B2%7D%5D%20%7D%7Bdt%7D)
![\frac{dA}{dt} = \frac{\pi }{4} \frac{d[ D(t)^{2}] }{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%20%3D%20%5Cfrac%7B%5Cpi%20%7D%7B4%7D%20%5Cfrac%7Bd%5B%20D%28t%29%5E%7B2%7D%5D%20%7D%7Bdt%7D)
<u>Using chain rule,</u>
![\frac{dA}{dt} = \frac{\pi }{4} X \frac{d[D(t)^{2} ]}{d[D(t)]} X \frac{d[D(t)]}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%20%3D%20%5Cfrac%7B%5Cpi%20%7D%7B4%7D%20%20X%20%20%5Cfrac%7Bd%5BD%28t%29%5E%7B2%7D%20%5D%7D%7Bd%5BD%28t%29%5D%7D%20%20%20X%20%20%5Cfrac%7Bd%5BD%28t%29%5D%7D%7Bdt%7D)



Thus, the following equation determines the change in area in terms of diameter with respect to time : 
<span>There are other avenues to find the cure to diseases that do not involve exploiting fetuses.
</span>
Answer:
1) The origin of life. 2) The mechanisms of evolution. 3) The control of the size, both of the organs and of the living beings.
Explanation:
Some examples,
Are gender traits completely a result of societal expectations?
Are there any parts of the human body that get oxygen directly from the air and not from the blood?
Are there nuclear reactions going on in our bodies?
Can humans ever directly see a photon?
Answer:
a.Natural selection
b.Evolution
c.Artificial selection
d.Co-evolution
The correct option is A.
Natural selection.
Explanation:
The correct answer is natural selection because Natural selection is an evolutionary process which was discussed by Charles Darwin in 1859, In one of his theory that it is the ability of organisms to develop traits or characteristics that will help them to adapt and ensure their survival in their environment and then passing or transferring these new traits to new species or offsprings over generations through reproduction.
Enzymes bind with chemical reactants called substrates. There may be one or more substrates for each type of enzyme, depending on the particular chemical reaction. In some reactions, a single-reactant substrate is broken down into multiple products.