Chapter 9: Q. 31 (page 721)
sketch the parametric curve by eliminating the parameter
Short Answer
The equation after elimination of the parameter is
Chapter 9: Q. 31 (page 721)
sketch the parametric curve by eliminating the parameter
The equation after elimination of the parameter is
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Get started for freeEach 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
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 .
Each of the integrals or integral expressions in Exercises represents the area of a region in the plane. Use polar coordinates to sketch the region and evaluate the expressions.
Use Cartesian coordinates to express the equations for the parabolas determined by the conditions specified in Exercises 22–31.
In Exercises 48–55 convert the equations given in rectangular coordinates to equations in polar coordinates.
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