(Roots. scala) Consider the following Scala code to implement fixpoint concept from Scala2.html: import scala. math. abs val tolerance = 0.0001 def isCloseEnough(x: Double, y: Double) = abs((x-y)/x) < tolerance def fixpoint(f: Double => Double)(firstGuess: Double) = { def iterate(guess: Double): Double = { val next = f(guess) println(next) if (isCloseEnough(guess, next)) next else iterate(next) } iterate(firstGuess) } def sqrt(x: Double) = fixpoint(y => (y + x/y)/2)(1.0) sqrt(2) Write functions to find the roots of the following functions by calling fixpoint with appropriate function parameters and initial values. x4 - x - 10 = 0 cos(x) - x ex = 0 The function signatures are as follows: def roota = pdef rootb = p Include the complete solution in the file Roots. scala so that we can run it from command line. The solutions can be extracted from Fixed Point Iteration Method