{"id":221820,"date":"2025-05-30T15:27:09","date_gmt":"2025-05-30T15:27:09","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=221820"},"modified":"2025-05-30T15:27:11","modified_gmt":"2025-05-30T15:27:11","slug":"can-anyone-help-me-with-these-matlab-questions-with-fplot-not-ezplot","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/30\/can-anyone-help-me-with-these-matlab-questions-with-fplot-not-ezplot\/","title":{"rendered":"Can anyone help me with these matlab questions with ‘fplot’ not ‘ezplot’"},"content":{"rendered":"\n

Can anyone help me with these matlab questions with ‘fplot’ not ‘ezplot’?<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Certainly! Here’s how you can answer all parts of Question 13 using MATLAB’s fplot<\/code> and fimplicit<\/code> functions (modern alternatives to ezplot<\/code>), along with a 300-word explanation.<\/p>\n\n\n\n

\n\n\n\n

MATLAB Code Using fimplicit<\/code> and fplot<\/code>:<\/strong><\/h3>\n\n\n\n
% Part (a)\nfigure;\nfimplicit(@(x, y) 3*y + y.^3 - x.^3 - 5, [-3, 3, -3, 3]);\ntitle('Part (a): Curve of 3y + y^3 - x^3 = 5');\nxlabel('x'); ylabel('y'); grid on;\n\n% Part (b)\nfigure;\nhold on;\nlevels = [-2, 0, 2, 5, 8];\nfor c = levels\n    fimplicit(@(x, y) 3*y + y.^3 - x.^3 - c, [-3, 3, -3, 3]);\nend\ntitle('Part (b): Level Curves of 3y + y^3 - x^3');\nxlabel('x'); ylabel('y'); grid on;\nlegend(arrayfun(@(c) sprintf('Level = %d', c), levels, 'UniformOutput', false));\nhold off;\n\n% Part (c)\nfigure;\nC = 1*log(1) + 1*log(1); % f(1,1)\nfimplicit(@(x, y) y.*log(x) + x.*log(y) - C, [0.1, 3, 0.1, 3]);\ntitle('Part (c): Level Curve of f(x, y) = ylnx + xlny through (1,1)');\nxlabel('x'); ylabel('y'); grid on;\n<\/code><\/pre>\n\n\n\n
\n\n\n\n
Explanation<\/strong><\/h3>\n\n\n\n
In MATLAB, fplot<\/code> is typically used to plot functions of a single variable, while fimplicit<\/code> is more suitable for plotting implicit equations like those given in this problem. We use fimplicit<\/code> for all parts of this question because each involves a curve or level set described by an implicit function of x<\/code> and y<\/code>.<\/p>\n\n\n\n
Part (a):<\/strong> We plot the implicit equation 3y+y3\u2212x3=53y + y^3 – x^3 = 5 by rewriting it as 3y+y3\u2212x3\u22125=03y + y^3 – x^3 – 5 = 0. The fimplicit<\/code> function interprets this as the zero level set of a function and plots the corresponding curve over a specified domain.<\/p>\n\n\n\n
Part (b):<\/strong> To plot level curves of the function f(x,y)=3y+y3\u2212x3f(x, y) = 3y + y^3 – x^3 for several values (\u22122, 0, 2, 5, 8), we loop through each level cc and plot the curve f(x,y)\u2212c=0f(x, y) – c = 0, i.e., 3y+y3\u2212x3\u2212c=03y + y^3 – x^3 – c = 0. We use hold on<\/code> to overlay all curves in one figure and add a legend for clarity.<\/p>\n\n\n\n
Part (c):<\/strong> The function f(x,y)=yln\u2061x+xln\u2061yf(x, y) = y \\ln x + x \\ln y is implicit in both variables. We calculate the function value at (1, 1), which is 0, since ln\u2061(1)=0\\ln(1) = 0. Then we plot the level curve yln\u2061x+xln\u2061y=0y \\ln x + x \\ln y = 0 as f(x,y)\u2212C=0f(x, y) – C = 0, with C = 0<\/code>.<\/p>\n\n\n\n
This approach using fimplicit<\/code> provides more control, modern syntax, and greater flexibility than the deprecated <\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n
.<\/p>\n","protected":false},"excerpt":{"rendered":"
Can anyone help me with these matlab questions with ‘fplot’ not ‘ezplot’? The Correct Answer and Explanation is: Certainly! Here’s how you can answer all parts of Question 13 using MATLAB’s fplot and fimplicit functions (modern alternatives to ezplot), along with a 300-word explanation. MATLAB Code Using fimplicit and fplot: Explanation In MATLAB, fplot is […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-221820","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/221820","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=221820"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/221820\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=221820"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=221820"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=221820"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}