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    "# Tutorial A2"
   ]
  },
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   "source": [
    "__1__ Consider the equation $y = \\frac{3a + 2b}{b^2}$, with $a = 1$ and $b = 2$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " - Calculate $y$ using Python."
   ]
  },
  {
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   "metadata": {},
   "source": [
    " - Of what type is the result?"
   ]
  },
  {
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   "metadata": {},
   "source": [
    " - How can you force the result to be a whole number?"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " - Of what type is the result if $b = 1$?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " - What happens if $b = 0$?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__2__ Calculate the gravitational force between the moon and the earth at a distance of $r = 3.84\\times 10^8$ m, with masses $m_\\mathrm{earth} = 5.97\\times 10^{24}$ kg, $m_\\mathrm{moon} = 7.35\\times 10^{22}$ kg. Use $G = 6.67 \\times 10^{-11}$ m$^3$ kg$^{-1}$ s$^{-2}$ for the gravitational constant."
   ]
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__Advanced 1__ How does Python handle infinity and absent numeric values? What is\n",
    "the result of a multiplication of these values with 0?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-info\">\n",
    "\n",
    "**Note:** Advanced exercises are not mandatory to get the points.\n",
    "\n",
    "</div>"
   ]
  }
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