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Chapter 9: Q 14. (page 775)

Use polar coordinates to graph each of the following functions.

r=3cosθ

Short Answer

Expert verified

The required graph is:

Step by step solution

01

Step 1. Given information.

The given polar function isr=3cosθ.

02

Step 2. The graphical representation of the value is as follows.

The required graph is:

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Most popular questions from this chapter

Use polar coordinates to graph the conics in Exercises 44–51.

r=24+cosθ

Use Cartesian coordinates to express the equations for the hyperbolas determined by the conditions specified in Exercises 38–43.

foci(±2,0), directricesx=±1

Use Cartesian coordinates to express the equations for the parabolas determined by the conditions specified in Exercises 22–31.

directrixx=-1,focus(2,5)

Sketch the graphs of the equations

r=21+2cosθand r=21+2sinθ

What is the relationship between these graphs? What is the eccentricity of each graph?

Measurements indicate that the orbital eccentricity of Mars is0.0935 and its semimajor axis is 1.517323951astronomical units.

(a) Write a Cartesian equation for the orbit of Mars.

(b) Do xand yhave 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.
See all solutions

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