The curve, cayleys sextic can be described by the cartesian equation: 4(x^2 + y^2 ax)^3 = 27a^2(x^2 + y^2)^2 it is the involute of a nephroiod curve because of its slight kidney shape and because they are parallel curves this curve was first discovered by a mathematician by the name of colin maclaurin.

Tour start here for a quick overview of the site help center detailed answers to any questions you might have meta discuss the workings and policies of this site. Question: find a cartesian equation for the curve described by the given polar equation r = 9 sin theta se show transcribed image text find a cartesian equation for the curve described by the given polar equation r = 9 sin theta select the correct answer.

An introduction to the curve cayleys sextic can be described by the cartesian equation about love anton chekhov about the writer and the an analysis of the short story love by anton chekhov text anton chekhov is a russian dramatist and a short story writer analysis of major an essay on the effects of hiv mutations on the immune system characters. Find a cartesian equation for the curve and identify it $$ r^2 \cos 2\theta = 1$$ i'm confused by the $2\theta$ i isolated $r^2$ to get $r^2 = \frac{1}{\cos2\theta. In geometry, cayley's sextic (sextic of cayley, cayley's sextet) is a plane curve, a member of the sinusoidal spiral family, first discussed by colin maclaurin in 1718 arthur cayley was the first to study the curve in detail and it was named after him in 1900 by archibald. (a) sketch the curve by using the parametric equations to plot points indicate with an arrow the direction in which the curve is traced as t increases (b) eliminate the parameter to find a cartesian equation of the curve.

You can only upload videos smaller than 600mb you can only upload a photo (png, jpg, jpeg) or a video (3gp, 3gpp, mp4, mov, avi, mpg, mpeg, rm) you can only upload a photo or a video. Find the cartesian equation for the curve find the cartesian equation for the curve described by the polar equation r=1/(1-sin(theta)) math equations thus, the initial equation can be rewritten in the following way: 1 = sqrt(x 2 +y 2) - y or 1+ y.

An introduction to the curve: cayley's sextic can be described by the cartesian equation pages 1 words 524 view full essay more essays like this: cayley's sextic, cartesian equation, colin maclaurin not sure what i'd do without @kibin - alfredo alvarez, student @ miami university.

A curve with polar equation r=6/(5sinθ+41cosθ) represents a line this line has a cartesian equation of form y=mx+b, asked feb 7, 2015 in calculus by anonymous.

An introduction to the curve cayleys sextic can be described by the cartesian equation

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