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When would you use a power function and when would you use a exponential function?
Both of these functions are found to represent physical events in nature. A common form of the power function would be the parabola (power of 2). One example would be calculating distance traveled of an object with constant acceleration. d = V0*t + (a/2)*t². The exponential function describes many things, such as exponential decay: like the voltage change in a capacitor & radioactive element decay. Also exponential growth (such as compound interest growth).
Is the muffin snail sea shill a golden ratio?
No. The golden ratio appears in plants but not animals. Snail shells may grow in a spiraling (exponential) growth pattern but the golden ratio implies one particular growth rate which nature does not demand of them.
What are some uses of logarithms?
Many things in nature tend to grow in an exponential fashion, meaning their growth is relative to their size at the moment. Bank investments, bacterial colonies, and numerous examples in physics follow such models. In order to remove the exponents and get linear equations which are far more manageable, logarithms can be used.
What is a chart used for in math?
To present information is a visual form to give a summary.In statistics, in particular, the nature of relationships between variables (linear, polynomial, exponential etc) is easier to see in a chart than in a table of numbers.To present information is a visual form to give a summary.In statistics, in particular, the nature of relationships between variables (linear, polynomial, exponential etc) is easier to see in a chart than in a table of numbers.To present information is a visual form to give a summary.In statistics, in particular, the nature of relationships between variables (linear, polynomial, exponential etc) is easier to see in a chart than in a table of numbers.To present information is a visual form to give a summary.In statistics, in particular, the nature of relationships between variables (linear, polynomial, exponential etc) is easier to see in a chart than in a table of numbers.
Why is Moore's law line a straight graph?
Moore's Law states essentially the exponential nature of the curve existing between transistor count in a single chip and passed time in years. Although in most websites and sources, the curve shown is straight with transistor # being in the Y axis, it must be observed, Moore stated that the curve is exponential. Thus the graphs, if linear are logarithmic curves, as a log graph for an exponential curve is linear in nature. So instead of transistor nos (x) , we use ln(x)
