Polar and Parametric Equations : Eliminate the parameter to find a cartesian euqation of the curve; sketch the curve with the given polar equation. Show the equation for the sketch.
Not what you're looking for?
1,2,3) a) Sketch the curve by using the paramtric 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 euqation of the curve.
1)x = 3t-5, y=2t + 1. Part a is just making a table using t and solving for x and y, but when done with parts a and b the equation should represent the plot, but my final equation does not look like anything common to me.
2) Same thing a problem 1.
x = t^2-2, y=5-2t, (-3 <= t<= 4)
3) Same thing a problem 1.
x = SQRT t, y=1-t
-------------------------------------------------------
For 31 - 39, sketch the curve with the given polar equation. Show the equation solved for that represents the sketch. Tell me how you made the sketch and show every part to coming up with what you need to make the sketch without using a computer program. Have to do by hand.
31) r = sintheta, book says (1, pi/2), pic should be a circle
33) r = 2(1 - sintheta) - picture should be a cardioid
35) r = theta, theta >= 0, picture should be a dot from origin (0,0), then spirials counter clockwise and r gets bigger.
37) r = 2sintheta, book gives theta = pi/4 and picture should be a 4 petal rose, petals not on x or y axis, in between going from origin diagonally.
39) r = 2 cos 4theta, book says theta = pi/8, shows 8 petal rose.
------------------------------------------------------------------------
Purchase this Solution
Solution Summary
Polar and parametric equations are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Probability Quiz
Some questions on probability
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts