What is the difference between a Taylor series and a Maclaurin series?
While both series are methods of representing functions as a power series, a Taylor series is simply a Maclaurin series evaluated at x=0.
How can the roots of a function be identified when the function is graphed?
The roots of a function can be found by observing where a function crosses the x-axis (where the value of a function is zero).
Why is it impossible for friction to perform work?
Work can only be done if some component of the force acting on an object is in the direction of the distance it has moved (work = force X distance, "X" is cross product. As friction always opposes the direction of motion, the work done by friction is never greater than zero.