Chapter 9: Q 7. Curve plot (page 774)
Sketch the curves defined by the given sets of parametric equations. Indicate the direction of motion on each curve.
Short Answer
The Curve plot
Chapter 9: Q 7. Curve plot (page 774)
Sketch the curves defined by the given sets of parametric equations. Indicate the direction of motion on each curve.
The Curve plot
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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.
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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 .
Use Cartesian coordinates to express the equations for the parabolas determined by the conditions specified in Exercises 22–31.
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
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
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