Today I
continued the section in my maths
book on 'The exponential function'
with the expression e^{x}.
It says:
The most common exponential
expression is e^{x} where e
is the exponential constant, 2.71828
. . . .
Wikipedia says this:
The number e, known as Euler's
number, is a mathematical constant
approximately equal to 2.71828
which can be characterized in many
ways. It is the base of the natural
logarithm.
Euler is an interesting chap; he
also has an asteroid named after
him.
Anyway,
here is that function on my
calculator:
For e^{2}
I do 2 [SHIFT] e^{2} =
7.389...
I then
worked through some examples in my
maths book. I got somewhat stumped
at trying to simplify these:
e^{3y}(1+e^{y})  e^{4y}
and (2e^{t})^{2}(3e^{t})
I then
watched this
video which I found to be good
for understanding e. I followed
along and used the X^{y}
button on my calculator.
[Click
here to continue]
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