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 :
The main properties of water are its polarity, cohesion, adhesion, surface tension, high specific heat, and evaporative cooling. A water molecule is slightly charged on both ends. This is because oxygen is more electronegative than hydrogen.
A. It makes the ecosystem more diverse
Answer:
D. a process of division of the genetic material (chromosomes) of a eukaryotic cell in which each of the two resulting nuclei receives a complete set of chromosomes that is the same as in the parent cell
Explanation:
Mitosis is the process of technically cloning the cells to replace the cells that are dying. Mitosis is also the process that helps you grow.
Hope this helps!
