Chapter 9: Q 17. (page 775)
Use polar coordinates to graph each of the following functions.
Short Answer
The required graph is:
Chapter 9: Q 17. (page 775)
Use polar coordinates to graph each of the following functions.
The required graph is:
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Get started for freeEach 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
Let . Show that the distance from any point on the graph of the curve with equation to the point
in exercise 31-36 find a definite integral that represents the length of the specified polar curve, and then use graphing calculator or computer algebra system to approximate the value of integral
One petal of the polar rose
In Exercises 48–55 convert the equations given in rectangular coordinates to equations in polar 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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