Chapter 9: Q. 27 (page 775)
The arc length of polar functions: Find the arc lengths of the following polar functions.
Short Answer
The length of an arc is
Chapter 9: Q. 27 (page 775)
The arc length of polar functions: Find the arc lengths of the following polar functions.
The length of an arc is
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Get started for freeUse polar coordinates to graph the conics in Exercises 44–51.
In exercise 26-30 Find a definite integral that represents the length of the specified polar curve and then find the exact value of integral
the spiral
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.
Each 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
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