Chapter 9: Q. 53 (page 722)
In Exercises 49-53 sketch the parametric curve and find its length.
Short Answer
The graphical representation of the points is as follows,
The length of the curve is equal to localid="1654248352139"
Chapter 9: Q. 53 (page 722)
In Exercises 49-53 sketch the parametric curve and find its length.
The graphical representation of the points is as follows,
The length of the curve is equal to localid="1654248352139"
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Get started for freeMeasurements indicate that the orbital eccentricity of Mars is and its semimajor axis is astronomical units.
(a) Write a Cartesian equation for the orbit of Mars.
(b) Do and have the same meaning as in Exercise 53?
(c) Give a polar coordinate equation for the orbit of Mars, assuming that the sun is the focus of the elliptical orbit.
Use polar coordinates to graph the conics in Exercises 44–51.
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.
Consider the hyperbola with equation Let F be the focus with coordinates Let and l be the vertical line with equation Show that for any point P on the hyperbola, where D is the point on l closest to P.
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