Graph {eq}r = 1 + 2\sin\theta {/eq}. Step 1:Check for symmetry of the equation. Test for Symmetry with respect to the polar axis by replacing {eq}\theta {/eq} with{eq}-\theta {/eq}. $$\begin{align*} r &= 1 + 2\sin(-\theta) \\\ r &= 1 + 2(-\sin\theta) \\\...
How to Graph Lemniscate Polar Equations Vocabulary Lemniscate:A lemniscate is a curve that looks like a figure-eight shape. The equation for a lemniscate is given by: $$r^2 = a^2 \sin(2\theta) \text{ or } r^2 = a^2 \cos(2\theta) $$ ...
If (3), that you want a 4D plot, then that leads to difficulty. There is no direct way to represent 4D in MATLAB (a common industry deficit!). You can use isoline plots, or you can represent one of the dimensions by color, or you can represent ...
x=quadratic(1,-2*L2*cos(THETA2),s^2+L2^2-L3^2-2*s*L2*sin(THETA2)) how can i manage to solve this? its giving me an error message that matrix must be square 3 Comments Show 1 older comment Image Analyst on 27 Dec 2013 I agree with Roger. Try this: http://www.mathworks...
Exploring sustainable urban distribution based on electric vehicles is crucial given the rise in global greenhouse gas emissions, especially for fast fashi
Find the conjugate harmonic function of u = \frac{\cos( \theta)}{r}. Determine a harmonic conjugate to the function f (x, y) = 3 (y^3) - 9 (x^2) y + 4 (x^2) - 2 x y - 4 (y^2) + 5 x + 6 y - 2. How to express a function as the composition of spherical har...
Suppose that random variable X is uniformly distributed between 8 and 24. Draw a graph of the density function, and then use it to help find the following probabilities: Consider the Gaussian (normal) random variable x with probability density function f(x) = \frac{1}{\sqrt{8\pi \mathrm...
γsv = γsl + γlvcosΘY The interfacial tensions, γsv,γsl and γlv, form the equilibrium contact angle of wetting, referred to Young’s contact angle ΘY. Young’s equation assumes that the surface is chemically homogenous and topographically smooth. This is, however, usually not...
you just have to change + sign for y axis.. coz on paper cartesian plane for x and y and computer base pixel plane are not the same. For computer, y axis is changing. That why you have to subtract your r*sin theta from your ymid. Sign in to comment. Sign ...
Tabulate and plot enough points to sketch a graph of the following equations. r(\sin \theta -2\cos \theta )=0 Sketch the level curves of the function f(x,y) = 4 - x^2 - 2y^2 , at levels k = 4,3,0,-5 Sketch each function f(x, y). a) f(x, y) = 1 -x - y b)...