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Ejercicios producto mixto

  Bloque 1 EJERCICIO 11 : Dados los vectores u⃗ (1, 3, 0) y v⃗ (2, 1, 1): a) Halla un vector, w⃗, de módulo 1, que sea perpendicular a u⃗ y a v⃗. b) ¿Cuál es el área del paralelogramo determinado por...

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Functions I: domain

Hi We are starting with functions today, but first, we should talk about the “Olimpiadas Matemáticas”. 1. Read this page and send me an email with the most important things you see there. 2. Read...

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Exámenes varios

Subo aquí alguno de los exámenes que hicimos: Recuperación 1ª Ev. Examen integrales Examen 2ª Ev a Examen2ª Ev. b (recuperación 2ª) Examen 1 de la 3ª Ev.

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Graphing quadratic functions

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Perpendicular común a rectas que se cruzan

  Muy buenas Adjunto aquí un ejercicio de este tipo resuelto de tres maneras distintas. Y un par de videos sobre el tema (usan el método que prefiero):

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Functions II: properties

  1. First of all, a little practice with geogebra. We are going to create a file for linear functions and another for parabolas. Pay attention and send them to me. 2. To know the properties of...

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Geogebra 3d

Muy buenas 1. Hoy vamos a trabajar básicamente con geogebra. Os mostraré cómo utilizar adecuadamente los comandos en 3d para que funcionen correctamente las construcciones, de forma que os pueda...

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Problemas…

1. En primer lugar, una curiosidad. Para los que queréis ir a medicina, WolframAlpha también computa (con perdón) todo lo que se os pueda ocurrir. Vean. Lo mismo para cualquier cosa que se os ocurra...

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Piecewise, Exponential and Logarithmic functions

Hi 1. First of all, I’m going to show you how to draw piecewise functions. Pay attention. 2. Now you can repeat the exercises from class with geogebra. Send me one file for the piecewise functions and...

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Examen de geometría (con solución)

  Bienvenidos al asombroso mundo de la comic sans: un examen con solución para disfrutar aún más de la geometría: Examen

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Repaso final

Muy buenas Adjunto examen de repaso con soluciones.

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Hyperinflation, exponential functions and logarythms

Howdy 1. Just for fun. The 100000000000000 note (bill in american english) that you see here was real, and came to existence in the worst of the hyperinflation crisis in Zimbabue. You can read about...

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Statistics 1

Hi Two things to do today: 1. Statistics with excel. Pay attention Appendix: some useful links: 1. estadistica-excel.pdf (This is a tutorial) 2. Theory and exercises: open this document (it’s a...

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Exam review

Ok, not tomorrow, next week. This is a link to a review worksheet.  Use it wisely.

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How to do a survey

  1. First of all, read this post on the subject. 2. Now read the first 6 pages of this unit about statistics. Pay attention to concepts like population, sample, etc, and to the examples of bad...

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Article 0

  1. First of all, we are going to learn a bit more about geogebra and excel with statistics. Pay attention and send me the files, as usual. 2. Now read  pages 11-13 of this unit about statistics.Solve...

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Powerpoint-ing

Hi Today you should be powerpointing, because we don’t have much time to finish the statistical study. Call me if you need help with the design or the maths involved. And remember: everybody hates...

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Probability

Hi Today we are going to learn the basic vocabulary of probability. 1. Go to this page and try to find all the words we learnt yesterday in spanish. Write them in a glossary, with their spanish...

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First (no) day

  Hi These are the answers to the lateral thinking problems.

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Sets of numbers

  Hi A little video about sets of numbers. We are going to listen to a part of it, and take notes. And a little history: pi? Some exercises. and a complete unit about real numbers. Now some exercises...

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