Let Z denote the set of negative integers and let A (0,5) (5, ).

Generally letters from first half of the alphabet (a, b, c, ) will be used to denote constants, and from the second half (t, x, y, ) to denote variables.

Let me call this X.

let me, this is x.

let me call them x sub 1, x sub 2, and x sub 3.

And I'll denote that by capital I.

let me call u is equal to delta x over x.

Let me, let me define a function as this f(x) is equal to x squared plus 1 if x is even and equals x squared minus 1 if x is odd.

Let me do my x axis.

Let me call that vector x.

So we can denote that with a transformation.

Let me factor an x squared out.

Let me just not take an x.

Let x be the amount of money.

Let me graph y equals x. y equals x. y equals x is that line right there.

let me copy and paste cosine(x) so, cosine (x) right up here

Let me to define let me say f of x is equal to x squared when, if x does not equal 2, and let's say it equals 3 when x equals 2.

In addition, figures in the present report and its annexes I and VII X that denote quantities of controlled substances have been rounded to three decimal points.

So let set this equal to a variable, let me call this x.

Let me call this x . If we call the measure of that angle x

Let me draw my x axis, just like that, that is my x axis.

So let me write this, change in x, delta x is equal to 3.

Let me draw the x axis, y axis.

So let me draw my f of x.

So let's let x equal days after Monday.

Let me draw my x axis right here.

Let me just write it x, y, z.

So let me draw. x squared looks something like let me use a different color. x square looks something like this, right?

Let me write this. x squared plus 4x over x plus 3 times x squared minus 9, all of that over x squared plus x minus 12.

When our delta x is equal to let me write it this way, delta x.

Let me draw the graph of f(x). f(x) is equal to x squared, or Y is equal to x squared, either one.

Let me rewrite it in maybe terms of x.

So let's say that I have the function f(x) let me, just for the sake of variety, let me call it g(x).

Let me write it up here. x squared minus x minus 6 is equal to 0.

So let's let x, x is equal to the number that 150 is 25 of, right?

Times the vector, let me just call this vector x, that right there is vector x.

So this would be let me switch to green we get x plus two, and since I'm using green, I'm just going to stay with green. x plus two, let me switch to orange. x plus two times x plus x plus two times three.

And what do we get? x squared plus 3x plus 6 minus x squared let me be very careful this is minus x squared plus x.

Let me switch back to minus, green that's x plus delta x to the n, so minus x to the n power.

Let me do h of x in a different color.

Well then I could say, let x be the price

Initially the term was used to denote the chieftain of a tribe.

The symbol formula_4 is traditionally used to denote the corresponding derivative formula_5.

If x increases, y should increase. So if x increases. Let me do that in the same yellow.

Let me do it. x plus a, squared, is equal to x squared plus 2ax plus a squared.