Q. 3 Give precise mathematical defini... [FREE SOLUTION]

Chapter 12: Q. 3 (page 987)

Give precise mathematical definitions or descriptions of each of the following concepts that follow. Then illustrate the definition with a graph or an algebraic example.
* an open disk in ${鈩�}^{2}$ .

Short Answer

Expert verified

$L e t 鈭� > 0 . L e t (x_{0}, y_{0}) 鈭� {鈩�}^{2} . A s u b s e t o f {鈩�}^{2} o f t h e f o r m \{(x, y) | {(x 鈭� x_{0})}^{2} + {(y 鈭� y_{0})}^{2} < 鈭�\} i s s a i d t o b e a n o p e n d i s k i n {鈩�}^{2} .$

Step by step solution

Step 1. Given Information.

An open disk in ${鈩�}^{2}$ .

Step 2. Definition.

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91影视

Give precise mathematical definitions or descriptions of each of the following concepts that follow. Then illustrate the definition with a graph or an algebraic example.
* an open disk in ${鈩�}^{2}$ .

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Definition.

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91影视

Give precise mathematical definitions or descriptions of each of the following concepts that follow. Then illustrate the definition with a graph or an algebraic example.* an open disk in 鈩�2.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Definition.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Geometry

Decision Maths

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Give precise mathematical definitions or descriptions of each of the following concepts that follow. Then illustrate the definition with a graph or an algebraic example.
* an open disk in ${鈩�}^{2}$ .