Ex$4-5$: Mesh and plot a surface

My Solutions $>$

Write a function named ex$4$p$5.$ It received two vector variables and returns three matrices.

Write a subfunction that implements the "three$-$hump camel" function:

$f(x,y)=2x^2-1\mathrm{.}05x^4+\frac{x^6}{6}+xy+y^2$

Write your subfunction in such a way that it accepts "vectorized" input $($i$.$e$.$ it computes function values elementwise when $x$ and $y$ values$).$

Your main function receives to variables which contain the ranges of $x$ and $y,$ i$.$e$.x_{\text{m}\text{i}\text{n}},x_{\text{m}\text{a}\text{x}}$ and $y_{\text{m}\text{i}\text{n}},y_{\text{m}\text{a}\text{x}}.$

Your main function returns as output values three $1010$ matrices, which contain the $x,y$ coordinate combinations $($use the "meshgrid" function, two first values$)$ and the corresponding $z=f(x,y)$ values $($as the third function value$).$

Draw the function surface using the function "surf". Give your figure a title and label the axes. Note that the Moodle interface does not display figures $-$ use Matlab to see what you've drawn. $($To see the "humps" you need more points than ten points in each direction and probably also a logarithmic z$-$axis.$)$

$($Food for thought $-$ do not return: How you could change your function so that if one of the coordinate ranges would be just a scalar, it would draw a $2$D line? Or if both coordinate ranges were scalars, function would return just the function value with the given pair of coordinates?$)$