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 freein 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
one petal of the polar rose
In Exercises 48–55 convert the equations given in rectangular coordinates to equations in polar coordinates.
In Exercises 24–31 find all polar coordinate representations for the point given in rectangular coordinates.
Use Cartesian coordinates to express the equations for the ellipses determined by the conditions specified in Exercises 32–37.
Each of the integral in exercise 38-44 represents the area of a region in a plane use polar coordinates to sketch the region and evaluate the expression
The integral is
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