5.1. (a) How many zeros does the function f(x) = sin(10x)-x have? (Hint: Sketching the graph of the function will be very helpful.) (b) Use a library routine or one of your own de- sign to find all of the zeros of this function. (Hint: You will need a different starting point or initial bracketing interval for each root.) 5.1. (a) How many zeros does the function f(x) = sin(10x)-x have? (Hint: Sketching the graph of the function will be very helpful.) (b) Use a library routine or one of your own de- sign to find all of the zeros of this function. (Hint: You will need a different starting point or initial bracketing interval for each root.)