Chapter 9: Q. 31 (page 721)
sketch the parametric curve by eliminating the parameter
Short Answer
The equation after elimination of the parameter is
Chapter 9: Q. 31 (page 721)
sketch the parametric curve by eliminating the parameter
The equation after elimination of the parameter is
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Get started for freeUse Cartesian coordinates to express the equations for the ellipses determined by the conditions specified in Exercises 32–37.
Measurements indicate that Earth’s orbital eccentricity is and its semimajor axis is astronomical units.
(a) Write a Cartesian equation for Earth’s orbit.
(b) Give a polar coordinate equation for Earth’s orbit, assuming that the sun is the focus of the elliptical orbit.
in exercise 31-36 find a definite integral that represents the length of the specified polar curve, and then use graphing calculator or computer algebra system to approximate the value of integral
The limacon
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
In Exercises 48–55 convert the equations given in rectangular coordinates to equations in polar coordinates.
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