Minimize the function f on the interval [a, b] with precision at least tol using the parabolic approximation method. You should assume that variables f, a, b are already defined. You need to output the point of the minimum of the function using the standard print statement. How many iterations do you need with parabolic approximation in comparison to golden ratio search to find the minimum of the function provided in the Example 2? Sample Input 1: from math import sin a = 2. b = 7. tol = 0.000001 f = sin Sample Output 1: 4.712388985743289 - 15*x + 4 Sample Input 2: f = lambda x: x**1.8 a = 2. b = 30. tol = 0.000001 Sample Output 2: 14.158702029267767 Minimize the function f on the interval [a, b] with precision at least tol using the parabolic approximation method. You should assume that variables f, a, b are already defined. You need to output the point of the minimum of the function using the standard print statement. How many iterations do you need with parabolic approximation in comparison to golden ratio search to find the minimum of the function provided in the Example 2? Sample Input 1: from math import sin a = 2. b = 7. tol = 0.000001 f = sin Sample Output 1: 4.712388985743289 - 15*x + 4 Sample Input 2: f = lambda x: x**1.8 a = 2. b = 30. tol = 0.000001 Sample Output 2: 14.158702029267767