Exercises of Basic Analytical Geometry

By Simone Malacrida

In this book, exercises are carried out regarding the following mathematical topics:
Cartesian plane and translations
line in the Cartesian plane
conics in the Cartesian plane (parabola, circumference, ellipse, hyperbola)
Initial theoretical hints are also presented to make the performance of the exercises understandable

• Language: English
• Publisher: Simone Malacrida
• Release date: Dec 22, 2022
• ISBN: 9798215946350

Simone Malacrida

Simone Malacrida (1977) Ha lavorato nel settore della ricerca (ottica e nanotecnologie) e, in seguito, in quello industriale-impiantistico, in particolare nel Power, nell'Oil&Gas e nelle infrastrutture. E' interessato a problematiche finanziarie ed energetiche. Ha pubblicato un primo ciclo di 21 libri principali (10 divulgativi e didattici e 11 romanzi) + 91 manuali didattici derivati. Un secondo ciclo, sempre di 21 libri, è in corso di elaborazione e sviluppo.

Book preview

Exercises of Basic Analytical Geometry

SIMONE MALACRIDA

In this book, exercises are carried out regarding the following mathematical topics:

Cartesian plane and translations

line in the Cartesian plane

conics in the Cartesian plane (parabola, circumference, ellipse, hyperbola)

Initial theoretical hints are also presented to make the performance of the exercises understandable

Simone Malacrida (1977)

Engineer and writer, has worked on research, finance, energy policy and industrial plants.

ANALYTICAL INDEX

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INTRODUCTION

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I – CARTESIAN PLANE AND LINE

Cartesian plane

Straight

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

Exercise 13

Exercises or 14

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II – THE CONICS

Parable

Circumference

Ellipse

Hyperbole

General considerations on conics

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

Exercise 13

Exercise 14

Exercise 15

Exercise 16

Exercise 17

Exercise 18

Exercise 19

Exercise 20

Exercise 21

Exercise 22

Exercises or 23

Exercise 24

Exercise 25

Exercise 26

Exercise 27

INTRODUCTION

In this workbook some examples of calculations related to elementary analytic geometry are carried out.

The conceptual evolution of analytic geometry, with respect to normal geometry, is such as to be able to begin a path which, starting from the study of polynomial functions, leads to the graphical resolution of transcendental functions (such as logarithmic, exponential, hyperbolic and trigonometric functions) up to fundamental result of mathematical analysis, i.e. the generalized study of functions of real variable.

In order to understand in more detail what is explained in the resolution of the exercises, the theoretical context of reference is recalled at the beginning of each chapter.

What is exposed in this workbook is