The Fibonacci series is defined by the equations:

F_k+1=F_k +F_k−1, for k=2,3,4,…,n

where F₂=F₁=1.

Write a MATLAB recursive function to evaluate the elements of this series to any number of steps n. Use this function to produce a table of the values of the Fibonacci series, F_k for k = 1,2,…,10. Use the MATLAB function fimplicit to provide a plot of the two-dimensional implicit function:

Cos (x² +y² )+ xy = 0

for values of x and y in the range x=−4 to 4;y=−4 to 4.For the three-dimensional implicit function

sin (x² + y² +z²) − x² y² z² = 0

use the MATLAB function fimplicit 3 to plot this function for x and y in the range x=−4to4; y=−4 to 4.