Chapter 9: Q. 22 (page 747)
Graph the equation in the θr-plane. Label each arc of your curve with the quadrant in which the corresponding polar graph will occur.
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Complete the definitions in Exercises.
Given two points in a plane, called _______, an ellipse is the set of points in the plane for which _______.
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
In Exercises 24–31 find all polar coordinate representations for the point given in rectangular coordinates.
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
Sketch the graphs of the equations
and localid="1649860998050"
What is the relationship between these graphs? What is the eccentricity of each graph?
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