Chapter 9: Q 43 (page 756)
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.
The required graph is :-
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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
Complete the square to describe the conics in Exercises .
Three noncollinear points determine a unique circle. Do three noncollinear points determine a unique ellipse? If so, explain why. If not, provide three noncollinear points that are on two distinct ellipses.
Prove that for an ellipse or a hyperbola the eccentricity is given by
In Exercises 24โ31 find all polar coordinate representations for the point given in rectangular coordinates.
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