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ThomasJR
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Homework Statement
Expand (1+e^(2x)), and (1+e^x)^2. Are they any different. I am confused please help
ThomasJR said:I want to see how you guys expand it because i am stuck with a calculus integration problems which asks me to use u-substitution.
Integrate , 1/(1+e^x) Without using partial functions
An exponential function is a mathematical function of the form f(x) = ab^x, where a is a constant and b is the base. It is characterized by a rapid increase or decrease in value as the input, x, increases.
Expanding an exponential function means that the base, b, is greater than 1, causing the function to rapidly increase in value as x increases. This results in a steep curve on a graph.
To graph an expanding exponential function, plot a few points by substituting different values of x into the function. Then, connect the points with a smooth curve. Remember to label the axes and include a key for the base, b, and the initial value, a.
Some real-life examples of expanding exponential functions include population growth, compound interest, and the spread of contagious diseases. These phenomena often exhibit rapid growth over time, resulting in a steep increase in value.
Expanding exponential functions can be useful in predicting and modeling natural phenomena that exhibit rapid growth, such as population growth or the spread of diseases. They can also be used to analyze data and make predictions in fields such as economics, biology, and physics.