Chapter 9: Q. 33 (page 775)
Areas of regions bounded by polar functions: Find the areas of the following regions. The area bounded by one petal of
Short Answer
The area bounded by one petal is
Chapter 9: Q. 33 (page 775)
Areas of regions bounded by polar functions: Find the areas of the following regions. The area bounded by one petal of
The area bounded by one petal is
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Get started for freeIn 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 .
Use Cartesian coordinates to express the equations for the parabolas determined by the conditions specified in Exercises 22–31.
Sketch the graphs of the equations
and localid="1649854142659"
What is the relationship between these graphs? What is the eccentricity of each graph?
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
Use Cartesian coordinates to express the equations for the parabolas determined by the conditions specified in Exercises 22–31.
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