Chapter 9: Q 12. (page 775)
Find the arc lengths of the curves defined by the parametric equations on the specified intervals.
, ,
Short Answer
The arc length is.
Chapter 9: Q 12. (page 775)
Find the arc lengths of the curves defined by the parametric equations on the specified intervals.
, ,
The arc length is.
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Get started for freeUse polar coordinates to graph the conics in Exercises 44–51.
Use Cartesian coordinates to express the equations for the hyperbolas determined by the conditions specified in Exercises 38–43.
Measurements 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.
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
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