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 Cartesian coordinates to express the equations for the parabolas determined by the conditions specified in Exercises 22–31.
Use polar coordinates to graph the conics in Exercises 44–51.
Three noncollinear points determine a unique circle. Do three noncollinear points determine a unique ellipse? If so, explain why. If not, provide three noncollinear points that are on two distinct ellipses.
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
Use polar coordinates to graph the conics in Exercises 44–51.
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