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24-05-2005, 10:05 PM
(This post was last modified: 24-05-2005, 10:15 PM by zero132132.)
We have a test tomorrow and I am having major troubles on the differences between rectangular, parametric, and polar graphing. If any of you can help, I will be grateful.
Edit: Please help if I don't get some help on this before tomorrow I'm absolutely screwed. Oh, and by the way it is calculas that is involved.
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If you asked 2 years ago i would have known but atm i have no idea ^^;; sorry
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I only take Geometry, so I don't really understand it. I Googled it quickly, and yeah..... not there yet in school..... Sorry :|
I could vaguely understand it though...... but I don't think I could be of any service......
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No problem. If anyone can help please post. I'll check back later tonight.
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Are you being tested on something you haven't learned (ie. no notes?)?
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What calculus is involved?
Rectangular is just your "usual" graph with two variables, usually X and Y.
E.g. a circle would have equation X^2+Y^2=C^2, where C is its radius (a constant). Its centre is the origin.
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On a parametric graph, X and Y are defined using another independent variable, usually T. Parametric graphs are often used to define families of curves.
E.g. a circle would be X=cos(T) Y=sin(T) and T from 0 to 2*pi. (I think).
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On a polar graph, the variables are R and theta.
E.g. a circle would be R=C, where C is a constant.
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To tell the difference is easy:
if it has two variables, x and y, then it's rectangular (cartesian).
if it has x, y, t, then parametric.
if it has r, theta, then it's polar. ^_^
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It's not a problem as to discerning what they are. It's more about changing between them. Like just yesterday, our teacher finally told us that to change from polar to rectangular the first step is to eliminate R. If you could help with changing parametric back to rectangular I think that this would be the most help to me.
And Double, no it's not about the notes. Unfortunately, my teacher is just absolutely terrible and I have had to teach myself just about everything in our book. Up until now I've done just fine but I don't think I can squeak by anymore. Thanks or the help in advance.
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Mirinee Wrote:E.g. a circle would have equation X^2+Y^2=C^2, where C is its radius (a constant). Its centre is the origin. If the center of the circle isn't the origin then it's: ((X-A)^2)+((Y-B)^2) = C^2; (A, B) is the center of the circle, and C is the radius, as before.
There's also the AX+BY=C (standard line formula), Y=MX+B (slope/y-intercept line formula; M=slope of line (change in Y over change in X) and B is the Y-intercept), and Y=AX^2+BX+C (parabala, or however it's spelled)
Lines with equal slopes are parallel to each other; lines with negative reciprocals are perpendicular.
Vectors have distance and magnitude; the distance is the line distance between two points, the magnitude is the (change in x, change in y) used to get there.
That's all Cartestian plane stuff though.
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Oh well... thanks for the help guys. I'm heading to bed so I guess I will have to check this before class in the morning.
The problem I am having as I earlier stated is not about anything but converting from parametric to rectangular and back and forth between polar and rectangular.
Ex. R=cos(theta)
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