Chapter 9: Q. 58 (page 731)
convert the equations given in polar coordinates to equations in rectangular coordinates
Short Answer
The equations in rectangular form are:
Chapter 9: Q. 58 (page 731)
convert the equations given in polar coordinates to equations in rectangular coordinates
The equations in rectangular form are:
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Get started for freeIn Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
Complete the definitions in Exercises .
Given a fixed line in the plane, called the ________, and a given fixed point called the _______, a parabola is the set of all points in the plane ________.
In Exercises 60 and 61 we ask you to prove Theorem 9.23 for ellipses and hyperbolas
Consider the ellipse with equation where . Let be the focus with coordinates . Let and l be the vertical line with equation . Show that for any point P on the ellipse, , where is the point on closest to .
In Exercises 48–55 convert the equations given in rectangular coordinates to equations in polar coordinates.
Sketch the graphs of the equations
and localid="1649860998050"
What is the relationship between these graphs? What is the eccentricity of each graph?
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