Question

Ex4-5: Mesh and plot a surface Write a function named ex4p5. It received two vector variables and returns three matrices. Write a subfunction that implements the "three-hump camel" function: f(x, y) = 2x\textsuperscript{2} - 1.05x\textsuperscript{4} + \frac{x\textsuperscript{6}}{6} + xy + y\textsuperscript{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\textsubscript{min}, X\textsubscript{max}] and [Y\textsubscript{min}, Y\textsubscript{max}]. Your main function returns as output values three 10x10 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 2D line? Or if both coordinate ranges were scalars, function would return just the function value with the given pair of coordinates?)

          Ex4-5: Mesh and plot a surface
Write a function named ex4p5. It received two vector variables and returns three matrices.
Write a subfunction that implements the "three-hump camel" function:
f(x, y) = 2x\textsuperscript{2} - 1.05x\textsuperscript{4} + \frac{x\textsuperscript{6}}{6} + xy + y\textsuperscript{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\textsubscript{min}, X\textsubscript{max}] and [Y\textsubscript{min}, Y\textsubscript{max}].
Your main function returns as output values three 10x10 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 2D line? Or if both coordinate ranges were scalars, function would return just the
function value with the given pair of coordinates?)

Ex4-5: Mesh and plot a surface
Write a function named ex4p5. It received two vector variables and returns three matrices.
Write a subfunction that implements the "three-hump camel" function:
f(x, y) = 2x2 - 1.05x4 + (x6)/(6) + xy + y2
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. [Xmin, Xmax] and [Ymin, Ymax].
Your main function returns as output values three 10x10 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 2D line? Or if both coordinate ranges were scalars, function would return just the
function value with the given pair of coordinates?)

Added by Luis B.

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