Chapter 9: Q. 29 (page 775)
The arc length of polar functions: Find the arc lengths of the following polar functions.
Short Answer
The arc length is
Chapter 9: Q. 29 (page 775)
The arc length of polar functions: Find the arc lengths of the following polar functions.
The arc length is
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Get started for freeComplete the definitions in Exercises.
Given two points in a plane, called _______, an ellipse is the set of points in the plane for which _______.
Find a definite integral expression that represents the area of the given region in polar plane and then find the exact value of the expression
The region inside the circle
In Exercises 24–31 find all polar coordinate representations for the point given in rectangular coordinates.
In Exercises 60 and 61 we ask you to prove Theorem 9.23 for ellipses and hyperbolas
Consider the ellipse with equation where . Let be the focus with coordinates . Let and l be the vertical line with equation . Show that for any point P on the ellipse, , where is the point on closest to .
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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