What was most crucial to gregor mendel’s final analysis

How does the diameter of each ripple change as time passes

VLD [36.1K]

The diameter of the ripple changes by the following equation = $\frac{dA}{dt} = \frac{\pi }{2} D . \frac{d(D)}{dt}$

Explanation:

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.

$\frac{dD}{dt}$ will be the rate of change of diameter of the circle with respect to time.

Let A be the area of the circle.

$\frac{dA}{dt}$ will be the rate of change of area of the circle with respect to time.

Area of the circle = $\frac{\pi }{4} D^{2}$

So,

$\frac{dA}{dt} = \frac{d [\frac{\pi }{4} D^{2}] }{dt}$

$\frac{dA}{dt} = \frac{\pi }{4} \frac{d[ D(t)^{2}] }{dt}$

Using chain rule,

$\frac{dA}{dt} = \frac{\pi }{4} X \frac{d[D(t)^{2} ]}{d[D(t)]} X \frac{d[D(t)]}{dt}$

$\frac{dA}{dt} = \frac{\pi }{4} . 2D(t) . \frac{dD}{dt}$

$\frac{dA}{dt} = \frac{\pi }{2} X D(t) X \frac{d(D)}{dt}$

$\frac{dA}{dt} = \frac{\pi }{2} D . \frac{d(D)}{dt}$

Thus, the following equation determines the change in area in terms of diameter with respect to time : $\frac{dA}{dt} = \frac{\pi }{2} D . \frac{d(D)}{dt}$

7 0

3 years ago

The energy needed to get a reaction started is known as ________________________. chemical energy cell energy activation energy

nadya68 [22]

Activation energy. it can be more easily reached through the use of a catalyst.

8 0

3 years ago

What is the scientific name for elephant?

natka813 [3]

Answer:

There are different names for the place an elephant is from/born.

Here are the names per region:

African Elephant: Loxodonta

Asian Elephant: Elephas Maximus

Indian Elephant: Elephas Maximus Indicus

Hope this helps! :)

5 0

3 years ago

Read 2 more answers

Probability predictions are based on ____ numbers of events.

topjm [15]

Answer:

sorry hon dont know

Explanation:

8 0

3 years ago

1. releases bile to break down fat lungs 2. helps break down protein small intestine 3. remove carbon dioxide from the body live

Lunna [17]

Answer:

1. Liver

2. Pancreas

3. Lungs

4. Saliva

5. Small intestine

6. Large intestine

Explanation:

1. Liver is a large, infact the largest, organ found in the digestive system. It has variety of functions ranging from detoxification to digestion. The liver functions in digestion by secreting a substance called BILE which helps in the breakdown of fat in the small intestine.

2. Pancreas is another accessory digestive organ which serves as a endocrine organ which secretes enzymes that aid in the digestion of protein and carbohydrate molecules.

3. Lungs are respiratory organs whose function is key to the respiratory system. They are the organs that serve as a medium of the entry of oxygen and removal of carbon dioxide, a process called GAS EXCHANGE.

4. Saliva is a liquid substance secreted by the salivary gland in the mouth. Saliva contains certain enzymes; most notably is the AMYLASE that breaks down starch into sugar.

5. Small intestine is another organ in the digestive system composed of the ileum, jejenum and duodenum. The small intestine is the organ where the absorption of nutrients into the blood from the digested food takes place.

6. Large intestine is the extension of the small intestine whose function is to absorb extra water from undigested food and pass out the remaining as feaces.

7 0

3 years ago