Chapter 9: Q. 31 (page 775)
Areas of regions bounded by polar functions: Find the areas of the following regions. The area bounded by the function , where is a positive constant.
Short Answer
The area bounded by the function is
Chapter 9: Q. 31 (page 775)
Areas of regions bounded by polar functions: Find the areas of the following regions. The area bounded by the function , where is a positive constant.
The area bounded by the function is
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Get started for freeUse polar coordinates to graph the conics in Exercises 44–51.
Consider the hyperbola with equation Let F be the focus with coordinates Let and l be the vertical line with equation Show that for any point P on the hyperbola, where D is the point on l closest to P.
Use Cartesian coordinates to express the equations for the hyperbolas determined by the conditions specified in Exercises 38–43.
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
Show that the eccentricity satisfies the equation.
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