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What does the variable N represent in the equation for exponential decay function in any radioactive element?
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Write an equation for an exponential growth function where the initial population is 76 and the population quadruples during each time period?
y(t) = 76*4t, where t = 0,1, 2, ...
An exponential growth function describes an amount that decreases exponentially over time?
an exponential growth function describes an amount that increases exponentially over time.
The half-life of a certain radioactive material is 75 days An initial amount of the material has a mass of 381 kg Write an exponential function that models the decay of this material Find how much?
The generalized exponential half-life equation is ... AT = A0 2(-T/H) ... where A0 is the initial activity, AT is the final activity at time T, and H is the half-life in units of time T. Example using the specific question, for an elapsed time of 50 days, is ... A50 = (381) 2(-50/75) = 240
How is the half-life of a radioactive isotope found?
The half life of actinium (for the natural isotope 227Ac) is 21,773 years.
Radioactive isotopes are used to determine?
Age - by decay. Function (esp biological) by uptake measurements.
How does radioactive decay relate to precalculus?
it is a natural example of the exponential function
What is the difference between power functions and exponential functions?
A power function has the equation f(x)=x^a while an exponential function has the equation f(x)=a^x. In a power function, x is brought to the power of the variable. In an exponential function, the variable is brought to the power x.
What the difference between an exponential equation and a power equation?
y = ax, where a is some constant, is an exponential function in x y = xa, where a is some constant, is a power function in x If a > 1 then the exponential will be greater than the power for x > a
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).
How do we differentiate between a quadratic equation and an exponential equation?
a quadratic equation must be in this form ax^2+bx+c=0 (can either be + or -) an exponential just means that the function grows at an exponential rate f(x)=x^2 or x^3
Does the rule y equals 4x4x represent a linear or exponential function explain?
yes
How do you know if an equation is exponential?
Basically, in an exponential expression (or equation) you have the independent variable in the exponent. For example: 5 times 10x The general form of an exponential function can be written as: abx or: aekx where a, b, and k are constants, and e is approximately 2.718. Note that just having a power doesn't mean you have an exponential equation. For example, in x3 the variable does NOT appear in the exponent, so it is not an exponential expression.
A function takes the exponential function's output and returns the exponential function's input?
A __________ function takes the exponential function's output and returns the exponential function's input.
What is the purpose of semi logarithm?
The y-axis on a semi logarithmic chart is exponential. This way, when an exponential function is depicted in the chart, it will evolve as a linear function. You often do this to proove that the function is exponential and/or as a tool to help you find the equation for the function. For more see: http://www.answers.com/topic/semi-logarithmic-plot
If you horizontally compress the exponential function f(x) 2x by a factor of 4 which of these is the equation of the new function?
It is f(x) = 8x.
What is the parent function for the exponential function?
The parent function of the exponential function is ax
Is the inverse of an exponential function the quadratic function?
No. The inverse of an exponential function is a logarithmic function.
