Q. 6 What is the relationship between... [FREE SOLUTION]

Chapter 9: Q. 6 (page 746)

What is the relationship between the graphs of r = f(胃) and r = f(胃鈭� k) in the 胃r-plane for k > 0? What is the relationship between the two graphs in polar coordinates?

Short Answer

Expert verified

In $胃 r$ -plane, the graph of $r = f (胃 - k)$ is shifted version of the graph of $r = f (胃)$ by k units towards right.

In polar coordinates the graph of $r = f (胃 - k)$ is rotated version of the graph of $r = f (胃)$ by angle $k$ degree in couterclockwise direction.

Step by step solution

Step 1. Given information

There are two planes.

The functions are : $r = f (胃) r = f (胃 - k)$

Step 2. Relation between graphs in both plane.

In $胃 r$ -plane, the graph of $r = f (胃 - k)$ is obtained by shifting the graph of $r = f (胃)$ by k units in horizontal direction towards right.

In polar coordinates the graph of $r = f (胃 - k)$ is obtained by rotating the graph of $r = f (胃)$ by angle $k$ degree in anticlockwise direction.

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91影视

What is the relationship between the graphs of r = f(胃) and r = f(胃鈭� k) in the 胃r-plane for k > 0? What is the relationship between the two graphs in polar coordinates?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Relation between graphs in both plane.

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91影视

What is the relationship between the graphs of r = f(胃) and r = f(胃 鈭� k) in the 胃r-plane for k > 0? What is the relationship between the two graphs in polar coordinates?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Relation between graphs in both plane.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Discrete Mathematics

Logic and Functions

Theoretical and Mathematical Physics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

What is the relationship between the graphs of r = f(胃) and r = f(胃鈭� k) in the 胃r-plane for k > 0? What is the relationship between the two graphs in polar coordinates?