Chapter 9: Q 38. (page 731)
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
Short Answer
The required equation is.
Chapter 9: Q 38. (page 731)
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
The required equation is.
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Get started for freeFind a definite integral expression that represents the area of the given region in the polar plane and then find the exact value of expression
The region bounded enclosed by the spiraland the x-axis on the interval
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.
In Exercises 24–31 find all polar coordinate representations for the point given in rectangular coordinates.
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
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.
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