Chapter 9: Q. 46 (page 772)
Use polar coordinates to graph the conics in Exercises 44–51.
Short Answer
The graph will be
Chapter 9: Q. 46 (page 772)
Use polar coordinates to graph the conics in Exercises 44–51.
The graph will be
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Get started for freeThree 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.
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.
Use Cartesian coordinates to express the equations for the hyperbolas determined by the conditions specified in Exercises 38–43.
Measurements indicate that Earth’s orbital eccentricity is and its semimajor axis is astronomical units.
(a) Write a Cartesian equation for Earth’s orbit.
(b) Give a polar coordinate equation for Earth’s orbit, assuming that the sun is the focus of the elliptical orbit.
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