A polynomial is a combination of terms separated using + or − signs. Polynomials cannot contain any of the following:
1. Variables raised to a negative or fractional exponent.
2. Variables in the denominator.
3. Variables under a radical
4. Special features. (trig functions, absolute values, logarithms, etc)
Then determine if the expression breaks any of the rules.
You can use the definite integral to find the volume of a solid with specific cross sections on an interval, provided you know a formula for the region determined by each cross section. If the cross sections generated are perpendicular to the x‐axis, then their areas will be functions of x, denoted by A(x). The volume ( V) of the solid on the interval [ a, b] is
In 1706 a little-known mathematics teacher William Jones first used a symbol to represent the platonic concept of pi, an ideal that in numerical terms can be approached, but never reached. Patricia Rothman discusses Jones’s significance among his contemporaries and the unique archive that forms his legacy.
Since a clock is a circle, to go all the way around would be 360 degrees. To figure out how many degrees it moves each minute, we need to divide the number of degrees in a full circle, 360, by the number of minutes to go that same distance. There are 60 minutes in an hour, so we divide 360 degrees (degrees in a circle) by 60 minutes (to go once around the circle). That leaves us with 6 degrees/minute must be traveled to make it all the way around a clock in 60 minutes.
0/0 is an "indeterminate form".
This means that it's not only undefined, but that if two functions f(x) and g(x) both approach 0 as x approaches some number, then f(x)/g(x) could approach any finite number or ∞ or −∞; it depends on which functions f and g are.
I know this is a confusing answer, but 0/0 is a very unique case in mathematics and frustratingly provides no direct answer.