I Complete the Python function MySpline that reads in a set of x and y values (each as arrays or lists), and outputs a piecewise-cubic function with natural boundary conditions. The function prototype is cs = MySpline (x, y) The returned function can be called using cs (2.4) or cs ([2.4, 3.7]), for example. You will have to find the parameter values for the as, bs, and cs so that the cubic spline can be evaluated using Pi(x)= a₁_1 (₁+1-x)³ 6h + bx (x₁+1-x)+ci (x-x₁), 6h where hi=i+1-2, and i=1,2,...,n-1. Note that all Python indexing starts at 0, so all the indices can be decremented by 1. However, some care is needed to handle ao,...,an-1. See the documentation for MySpline for some guidance on this issue. + ai The function MySpline is already set up to return a cubic spline function. But it's not a very interesting one, and it does not pass through the points (x, y). The notebook has a small sample set of points to interpolate. Feel free to choose your own set of points. Create a figure that plots the interpolation points overtop of the smooth cubic spline.

Below is a Python function definition for a linear search of a list Ist for element. It returns the first index at which element can be found in the list (or None) if element is not in the list. def linearSearch(1st, element): i = 0 for item in 1st: if element == item: return i else: i += 1 return None Write a similar MATLAB function linearSearch.m. Your MATLAB function should take as parameters an unsorted list of non-negative integers, and an integer value, and returns the index where that value is first located in the list. (No argument testing is required.) Unlike the Python code which returns None if the value is not in the array, your MATLAB function should return the value -1 if the value is not found.

We would like to write a collection of functions that do operations on a list of numbers. For example, suppose we write a function max_val. The function takes a list of numbers and returns the maximum value. So, if we passed the list [1,30, 70,-90,80,2] the return value would be 80, since 80 is the maximum number in the list. Here is the list of functions we would like to write: (use basic coding, loops, functions, don't use things like the sum function) 1) max_val, return maximum value. 2) min_val, returns minimum value.  3) mean, returns average. 4) std, returns standard deviation.  5) list_append, adds a new element to the end of the list. 6) list_insert, inserts a new element to the list at a desired location (do not use the insert list function).  7) list_add, adds an inputed number to every value in the list.  8) list_subtract, subtracts an inputed number to every value in the list. 9) list_multiply, multiples an inputed number to every value in the list. 10) list_divide, divides…

Complete the given CPP function definition and run it for a test case. void swapString(string &str, int i, int j) { //check whether i and j are in the range //0 to str.length ()-1 and i is less than j. //if the conditions are true then swap the //characters at index i and j in the string. }