{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Vikublað 2\n",
    "(merkið sérstaklega ef þið viljið ekki að lausnin ykkar verði notuð sem sýnislausn)\n",
    "## Nafn: ....\n",
    "\n",
    "Náum í nokkra pakka til að geta plottað gröf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Upphitun (þessu þarf ekki að skila)\n",
    "\n",
    "Skilgreinum fallið, við notum `np.sin` í stað `math.sin` því útgáfurnar í np geta tekið inn tölur og vigra af tölum. Þessir vigrar fást t.d. með `np.arange` fallinu."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def f(x):\n",
    "    return x*np.sin(x)/(1-np.cos(x))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Prufum að reikna út eitt gildi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.9999833333049786"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f(0.01)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Teiknum grafið á bilinu $[1e-5,1.0]$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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sPBOAd4DbCeMuxiZRn0jaNW4Mp54K77wDs2dDXh4cd1wYf3HjjRpnISK5L6VbHlHSLQ/J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\nREREUvb/kBas2z4sd28AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110fbdf28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(1e-5,1,1e-2) #  punktar frá 0.1 til 1.0 með 0.01 millibili\n",
    "\n",
    "plt.plot(x, f(x))\n",
    "plt.title('$f(x)$'); # matplotlib skilur tex"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Lausn\n",
    "\n",
    "Merkið lausnir við hverjum lið, t.d. með\n",
    "\n",
    "## 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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