Chapter 9: Q. 36 (page 721)
The curve is a circle centered at the origin. It is traced once, clockwise, starting at the point with .
Short Answer
The required parametric equations are .
Chapter 9: Q. 36 (page 721)
The curve is a circle centered at the origin. It is traced once, clockwise, starting at the point with .
The required parametric equations are .
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Get started for freeComplete the square to describe the conics in Exercises .
Use Cartesian coordinates to express the equations for the ellipses determined by the conditions specified in Exercises 32–37.
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.
role="math" localid="1649518287481" .
Measurements indicate that Earth’s orbital eccentricity is and its semimajor axis is astronomical units.
(a) Write a Cartesian equation for Earth’s orbit.
(b) Give a polar coordinate equation for Earth’s orbit, 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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