## How do you graph a circle in MATLAB?

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- function h = circle(x,y,r)
- hold on.
- th = 0:pi/50:2*pi;
- xunit = r * cos(th) + x;
- yunit = r * sin(th) + y;
- h = plot(xunit, yunit);
- hold off.

### How do you plot analytical functions in MATLAB?

MathWorks Matrix Menu

- Analytical Plotting with Symbolic Math Toolbox.
- Plot Explicit Functions y=f(x) Using fplot.
- Plot a Function Defined by y=f(x,a) for Various Values of a.
- Plot the Derivative and Integral of a Function.
- Plot a Function y=g(x0,a) with a as the Horizontal Axis.

#### How do you do a line integral in MATLAB?

Line Integrals syms x y z F(x,y,z) = [x^2*y*z, x*y, 2*y*z]; Next, define a curve: syms t ux(t) = sin(t); uy(t) = t^2-t; uz(t) = t; The line integral of F along the curve u is defined as ∫ f ⋅ d u = ∫ f ( u x ( t ) , u y ( t ) , u z ( t ) ) ⋅ d u d t d t , where the ⋅ on the right-hand-side denotes a scalar product.

**Which command is used to find integral value using trapezoidal?**

Description. Q = trapz( Y ) computes the approximate integral of Y via the trapezoidal method with unit spacing.

**Which command is used for double integration?**

Integral2 function can be used in MATLAB to get the double integral of a function. Double integral is used to integrate the function of 2 variables over a 2-D region specified by the limits.

## What is trapezoidal rule in MATLAB?

Trapz function in MATLAB is used to find the numerical integration using the trapezoidal rule. The basic idea in the Trapezoidal rule is to assume the region under the graph of the given function to be a trapezoid instead of the rectangle and calculate its area.

### What is the difference between Cumtrapz and Trapz?

While TRAPZ replies the scalar value of the integral, CUMTRAPZ accumlates it for each X-value and has the same size as Y. Therefore the reply of CUMTRAPZ starts with 0 ever and ends with the value, which would be replied by TRAPZ.

#### How do you plot a graph in Matlab?

MATLAB – Plotting

- Define x, by specifying the range of values for the variable x, for which the function is to be plotted.
- Define the function, y = f(x)
- Call the plot command, as plot(x, y)