{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "interactive-link",
   "metadata": {},
   "source": [
    "> **This is a saved, working copy.** Sliders here are frozen at their\n",
    "> starting value — there's no marimo runtime in plain Jupyter to drive them.\n",
    "> For the live, drag-the-sliders version of this lab (answers), see\n",
    "> [Week 4 lab (answers) — interactive](https://math4120.pages.dev/wasm/week04_lab_answers.html).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ipython-import",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:49.074567Z",
     "iopub.status.busy": "2026-11-13T23:25:49.074402Z",
     "iopub.status.idle": "2026-11-13T23:25:49.078519Z",
     "shell.execute_reply": "2026-11-13T23:25:49.077714Z"
    }
   },
   "outputs": [],
   "source": [
    "from IPython.display import Markdown, HTML\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "Hbol",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "# Week 4 lab — Direction fields and Euler's method — Answers\n",
    "\n",
    "**MATH4120 — Mathematical Modelling and Programming** Lancaster University, 2026–27\n",
    "\n",
    "---\n",
    "\n",
    "**This is the answers version.** Every blank below contains the completed solution, for instructors and for checking your own work.\n",
    "\n",
    "---\n",
    "\n",
    "In the lecture you saw that an ODE $y' = f(t, y)$ is a rule that gives a slope at every point, and that a solution curve is found by following the arrows. Today you build every piece of that yourself, for a cup of coffee cooling in a room (Newton's law of cooling, from Week 2):\n",
    "\n",
    "1. write the slope rule $f$ as a Python function, and check it by hand;\n",
    "2. turn it into a direction field;\n",
    "3. trace the solution by following the arrows, and find out what goes wrong when the steps are too big;\n",
    "4. use the same tools on a problem where the room itself warms up."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "MJUe",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:49.080106Z",
     "iopub.status.busy": "2026-11-13T23:25:49.079963Z",
     "iopub.status.idle": "2026-11-13T23:25:49.432617Z",
     "shell.execute_reply": "2026-11-13T23:25:49.431460Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "vblA",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "## Parameters\n",
    "\n",
    "You can change these at any point; everything below updates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "bkHC",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:49.435030Z",
     "iopub.status.busy": "2026-11-13T23:25:49.434649Z",
     "iopub.status.idle": "2026-11-13T23:25:49.438148Z",
     "shell.execute_reply": "2026-11-13T23:25:49.437305Z"
    }
   },
   "outputs": [],
   "source": [
    "k_cool  = 0.1     # cooling rate (min⁻¹)\n",
    "T0_cool = 85.0    # initial temperature of the coffee (°C)\n",
    "Tinf    = 20.0    # room temperature (°C)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "lEQa",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:49.439811Z",
     "iopub.status.busy": "2026-11-13T23:25:49.439624Z",
     "iopub.status.idle": "2026-11-13T23:25:49.446184Z",
     "shell.execute_reply": "2026-11-13T23:25:49.445245Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [],
   "source": [
    "def draw_arrows(ax, t_grid, y_grid, rise, color=\"grey\", alpha=0.6):\n",
    "    \"\"\"Draw the arrow (1, rise) at every grid point, all the same length on screen.\"\"\"\n",
    "    fig = ax.figure\n",
    "    ax.apply_aspect()\n",
    "    box = ax.get_position()\n",
    "    t_lo, t_hi = ax.get_xlim()\n",
    "    y_lo, y_hi = ax.get_ylim()\n",
    "    t_per_inch = (t_hi - t_lo) / (fig.get_figwidth() * box.width)\n",
    "    y_per_inch = (y_hi - y_lo) / (fig.get_figheight() * box.height)\n",
    "    rise = rise * np.ones_like(t_grid)\n",
    "    # measure each arrow in inches on screen, then scale to a fixed length\n",
    "    run_in = np.ones_like(t_grid) / t_per_inch\n",
    "    rise_in = rise / y_per_inch\n",
    "    length_in = np.hypot(run_in, rise_in)\n",
    "    gap_t_in = abs(t_grid[0, 1] - t_grid[0, 0]) / t_per_inch\n",
    "    gap_y_in = abs(y_grid[1, 0] - y_grid[0, 0]) / y_per_inch\n",
    "    arrow_inches = 0.7 * min(gap_t_in, gap_y_in)\n",
    "    U = run_in / length_in * arrow_inches * t_per_inch\n",
    "    V = rise_in / length_in * arrow_inches * y_per_inch\n",
    "    ax.quiver(t_grid, y_grid, U, V, angles=\"xy\", scale_units=\"xy\", scale=1,\n",
    "              pivot=\"mid\", color=color, alpha=alpha,\n",
    "              width=0.003, headwidth=3.5, headlength=4.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "PKri",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "## Exercise 1 — the slope rule\n",
    "\n",
    "Newton's law of cooling is $$\\frac{\\mathrm{d}T}{\\mathrm{d}t} = -k\\,(T - T_\\infty).$$ So the slope at the point $(t, T)$ is $f(t, T) = -k\\,(T - T_\\infty)$, measured in °C per minute.\n",
    "\n",
    "**Task (a), on paper first.** With the default parameters ($k = 0.1$, $T_\\infty = 20$), work out the slope at the three points $(t, T) = (0, 85)$, $(10, 20)$ and $(5, 10)$. For each one, say in words what the coffee is doing at that moment.\n",
    "\n",
    "**Task (b).** Complete the function `f_cool` below so that it returns $f(t, T)$. Use `k_cool` and `Tinf`. Then run the cell after it and compare with your hand calculations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "Xref",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:49.447843Z",
     "iopub.status.busy": "2026-11-13T23:25:49.447669Z",
     "iopub.status.idle": "2026-11-13T23:25:49.450619Z",
     "shell.execute_reply": "2026-11-13T23:25:49.449772Z"
    }
   },
   "outputs": [],
   "source": [
    "def f_cool(t, T):\n",
    "    return -k_cool * (T - Tinf)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "SFPL",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:49.452065Z",
     "iopub.status.busy": "2026-11-13T23:25:49.451921Z",
     "iopub.status.idle": "2026-11-13T23:25:49.455183Z",
     "shell.execute_reply": "2026-11-13T23:25:49.454516Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "slope at (t, T) = (0, 85):  -6.5\n",
      "slope at (t, T) = (10, 20): -0.0\n",
      "slope at (t, T) = (5, 10):  1.0\n"
     ]
    }
   ],
   "source": [
    "print(\"slope at (t, T) = (0, 85): \", f_cool(0, 85))\n",
    "print(\"slope at (t, T) = (10, 20):\", f_cool(10, 20))\n",
    "print(\"slope at (t, T) = (5, 10): \", f_cool(5, 10))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "BYtC",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "<details><summary><b>Check your hand calculations (open after you have tried)</b></summary>\n",
    "\n",
    "\n",
    "- $(0, 85)$: $-0.1 \\times (85 - 20) = -6.5$. The coffee is losing 6.5 °C per minute.\n",
    "- $(10, 20)$: $-0.1 \\times (20 - 20) = 0$. The coffee is at room temperature, and its temperature is not changing.\n",
    "- $(5, 10)$: $-0.1 \\times (10 - 20) = +1$. A drink colder than the room warms up, by 1 °C per minute.\n",
    "\n",
    "(If Python prints `-0.0`, that is just zero.) Notice that $t$ never appears in the answer: only $T$ matters. Keep that in mind for Exercise 2.\n",
    "\n",
    "</details>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "RGSE",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "## Exercise 2 — from slopes to a direction field\n",
    "\n",
    "The cell below sets up a grid of points: every 5 minutes from $t = 0$ to $60$, and every 10 °C from $T = 0$ to $90$. `t_grid` and `T_grid` are tables holding the $t$ and $T$ value of every grid point.\n",
    "\n",
    "At each grid point we want the arrow $(1,\\ f(t, T))$: run 1, rise $f$. A NumPy function works on a whole table at once, just like on a single number.\n",
    "\n",
    "**Task.** Replace `np.zeros_like(t_grid)` with the rise of the arrow at every grid point. One line is enough."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "Kclp",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:49.456880Z",
     "iopub.status.busy": "2026-11-13T23:25:49.456736Z",
     "iopub.status.idle": "2026-11-13T23:25:49.459637Z",
     "shell.execute_reply": "2026-11-13T23:25:49.458852Z"
    }
   },
   "outputs": [],
   "source": [
    "t_grid, T_grid = np.meshgrid(np.linspace(0, 60, 13), np.linspace(0, 90, 10))\n",
    "T_rise = f_cool(t_grid, T_grid)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "emfo",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:49.461482Z",
     "iopub.status.busy": "2026-11-13T23:25:49.461220Z",
     "iopub.status.idle": "2026-11-13T23:25:49.709201Z",
     "shell.execute_reply": "2026-11-13T23:25:49.708260Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_fig1, _ax1 = plt.subplots(figsize=(9, 5))\n",
    "_ax1.set_xlim(-2.5, 62.5)\n",
    "_ax1.set_ylim(-5, 95)\n",
    "_ax1.set_xlabel(r\"$t$ (min)\", fontsize=13)\n",
    "_ax1.set_ylabel(r\"$T$ (°C)\", fontsize=13)\n",
    "_ax1.set_title(\"Direction field for Newton's law of cooling\", fontsize=13)\n",
    "_ax1.grid(True, alpha=0.2)\n",
    "_fig1.tight_layout()\n",
    "draw_arrows(_ax1, t_grid, T_grid, T_rise, color=\"#922b21\", alpha=0.85)\n",
    "_ax1.plot(t_grid, T_grid, \".\", color=\"#922b21\", markersize=3)\n",
    "_fig1;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "Hstk",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "**Questions.** Answer these from the picture, then check.\n",
    "\n",
    "1. Along which horizontal line are the arrows flat? Why there?\n",
    "2. Pick one row of arrows and move along it from left to right. Do the arrows change? Which line of `f_cool` explains what you see?\n",
    "3. Compare the arrows at 80 °C with those at 30 °C. What does that tell you about how quickly very hot coffee cools compared with lukewarm coffee?\n",
    "\n",
    "<details><summary><b>Answers (open after you have answered)</b></summary>\n",
    "\n",
    "\n",
    "1. Along $T = 20$, the room temperature, because $f = -k(20 - 20) = 0$ there. A cup that is already at room temperature stays there.\n",
    "2. Every row is identical: the arrows do not depend on $t$, because `f_cool` never uses `t`. Physically, the coffee doesn't care what time it is, only how hot it is.\n",
    "3. The arrows at 80 °C are much steeper: the slope is proportional to the gap $T - T_\\infty$, so hot coffee cools fast at first and then slows down as it approaches room temperature.\n",
    "\n",
    "</details>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "nWHF",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "## Exercise 3 — follow the arrows\n",
    "\n",
    "To draw a solution curve: start at $(0, T_0)$, look up the arrow there, take a step of length $h$ (in the $t$ direction) along it, look up the new arrow, and repeat.\n",
    "\n",
    "**Task.** One line inside `follow_arrows` is missing. If you are at $(t_\\text{now}, T_\\text{now})$ and the slope there is $f(t_\\text{now}, T_\\text{now})$, what is $T$ after moving $h$ to the right along the arrow? (Run 1 gives rise $f$, so run $h$ gives rise ...?)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "iLit",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:49.711403Z",
     "iopub.status.busy": "2026-11-13T23:25:49.711247Z",
     "iopub.status.idle": "2026-11-13T23:25:49.715413Z",
     "shell.execute_reply": "2026-11-13T23:25:49.714716Z"
    }
   },
   "outputs": [],
   "source": [
    "def follow_arrows(f, t_start, T_start, t_stop, h):\n",
    "    \"\"\"Start at (t_start, T_start) and repeatedly step h along the arrow.\"\"\"\n",
    "    n_steps = int(round((t_stop - t_start) / h))\n",
    "    t_values = [t_start]\n",
    "    T_values = [T_start]\n",
    "    for step in range(n_steps):\n",
    "        t_now = t_values[-1]\n",
    "        T_now = T_values[-1]\n",
    "        T_next = T_now + h * f(t_now, T_now)\n",
    "        t_values.append(t_now + h)\n",
    "        T_values.append(T_next)\n",
    "    return np.array(t_values), np.array(T_values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "ZHCJ",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:49.717131Z",
     "iopub.status.busy": "2026-11-13T23:25:49.716963Z",
     "iopub.status.idle": "2026-11-13T23:25:49.719651Z",
     "shell.execute_reply": "2026-11-13T23:25:49.718982Z"
    }
   },
   "outputs": [],
   "source": [
    "h_cool_slider = type('_W', (), {'value': 5.0})()  # static default"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "ROlb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:49.721154Z",
     "iopub.status.busy": "2026-11-13T23:25:49.721013Z",
     "iopub.status.idle": "2026-11-13T23:25:49.723513Z",
     "shell.execute_reply": "2026-11-13T23:25:49.722929Z"
    }
   },
   "outputs": [],
   "source": [
    "t_traced, T_traced = follow_arrows(f_cool, 0.0, T0_cool, 60.0, h_cool_slider.value)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "qnkX",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:49.725041Z",
     "iopub.status.busy": "2026-11-13T23:25:49.724907Z",
     "iopub.status.idle": "2026-11-13T23:25:49.934124Z",
     "shell.execute_reply": "2026-11-13T23:25:49.933230Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_h = h_cool_slider.value\n",
    "_t_exact = np.linspace(0, 60, 400)\n",
    "_T_exact = Tinf + (T0_cool - Tinf) * np.exp(-k_cool * _t_exact)\n",
    "_y_lo = min(-5.0, T_traced.min() - 5)\n",
    "_y_hi = max(95.0, T_traced.max() + 5)\n",
    "\n",
    "_fig2, _ax2 = plt.subplots(figsize=(9, 5))\n",
    "_ax2.set_xlim(-2.5, 62.5)\n",
    "_ax2.set_ylim(_y_lo, _y_hi)\n",
    "_ax2.set_xlabel(r\"$t$ (min)\", fontsize=13)\n",
    "_ax2.set_ylabel(r\"$T$ (°C)\", fontsize=13)\n",
    "_ax2.set_title(rf\"Following the arrows with step $h = {_h:g}$ min\", fontsize=13)\n",
    "_ax2.grid(True, alpha=0.2)\n",
    "_fig2.tight_layout()\n",
    "_tg2, _Tg2 = np.meshgrid(np.linspace(0, 60, 13), np.linspace(_y_lo + 5, _y_hi - 5, 10))\n",
    "draw_arrows(_ax2, _tg2, _Tg2, f_cool(_tg2, _Tg2), alpha=0.45)\n",
    "\n",
    "_ax2.plot(_t_exact, _T_exact, \"k--\", linewidth=1.5,\n",
    "          label=r\"Week 2 formula $T_\\infty + (T_0 - T_\\infty)e^{-kt}$\")\n",
    "_ax2.plot(t_traced, T_traced, \"o-\", color=\"#1a5276\", linewidth=2.0,\n",
    "          markersize=6, label=\"following the arrows\")\n",
    "_ax2.axhline(Tinf, color=\"tomato\", linestyle=\":\", linewidth=1.5,\n",
    "             label=rf\"room, $T_\\infty = {Tinf:g}$ °C\")\n",
    "_ax2.legend(fontsize=10, loc=\"best\", framealpha=0.9)\n",
    "_fig2;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "TqIu",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
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     "md_prefix": "r"
    }
   },
   "source": [
    "**Questions.** Use the slider.\n",
    "\n",
    "1. With $h = 0.5$, how does the traced curve compare with the Week 2 formula (dashed)? What happens as you increase $h$ to 5?\n",
    "2. Set $h = 10$. The very first step lands *exactly* on room temperature and stays there. Explain why, using the slope at the starting point from Exercise 1.\n",
    "3. Set $h = 15$. The coffee becomes colder than the room, which is physically impossible. What went wrong? Then try $h = 25$.\n",
    "\n",
    "<details><summary><b>Answers (open after you have answered)</b></summary>\n",
    "\n",
    "\n",
    "1. With small $h$ the dots sit on the dashed curve. As $h$ grows the dots fall below it: each step follows the arrow at the *start* of the step, which is steeper than the curve further on, so every step cools a bit too much.\n",
    "2. The slope at $(0, 85)$ is $-6.5$ °C/min. Following it for 10 minutes gives $85 + 10 \\times (-6.5) = 20$, exactly room temperature, where the slope is 0, so it never moves again.\n",
    "3. With $h = 15$ the first step is $85 + 15 \\times (-6.5) = -12.5$ °C. The arrow at the start is only correct *at the start*; following it blindly for 15 minutes overshoots the room temperature. The next step overshoots back the other way, by less, so it still settles down. With $h = 25$ each overshoot is bigger than the last and the steps blow up. Small steps are not just more accurate, they can be the difference between a sensible answer and nonsense. Chapter 6 comes back to this.\n",
    "\n",
    "</details>\n",
    "\n",
    "**Try it.** Change `T0_cool` to `5.0` (a cold drink in a warm room). Does the picture still make sense?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "Vxnm",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "## Exercise 4 — a room that warms up\n",
    "\n",
    "Now the heating comes on. The room starts at 15 °C and warms by 0.25 °C every minute, so the room temperature is $15 + 0.25\\,t$. The coffee follows Newton's law with this moving target: $$\\frac{\\mathrm{d}T}{\\mathrm{d}t} = -k\\,\\bigl(T - (15 + 0.25\\,t)\\bigr).$$\n",
    "\n",
    "**Predict first.** Before you write any code:\n",
    "\n",
    "1. Will every row of arrows still look the same? Why or why not?\n",
    "2. Where will the arrows be flat now?\n",
    "\n",
    "**Task.** Complete `f_room` below. `room_temp(t)` is already written for you. The plot then reuses your arrows and your `follow_arrows` function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "DnEU",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:49.935902Z",
     "iopub.status.busy": "2026-11-13T23:25:49.935643Z",
     "iopub.status.idle": "2026-11-13T23:25:49.938695Z",
     "shell.execute_reply": "2026-11-13T23:25:49.937971Z"
    }
   },
   "outputs": [],
   "source": [
    "def room_temp(t):\n",
    "    return 15 + 0.25 * t    # the heating is on: +0.25 °C per minute\n",
    "\n",
    "def f_room(t, T):\n",
    "    return -k_cool * (T - room_temp(t))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "ulZA",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:49.940254Z",
     "iopub.status.busy": "2026-11-13T23:25:49.940021Z",
     "iopub.status.idle": "2026-11-13T23:25:50.120804Z",
     "shell.execute_reply": "2026-11-13T23:25:50.119873Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_fig3, _ax3 = plt.subplots(figsize=(9, 5))\n",
    "_ax3.set_xlim(-3.75, 93.75)\n",
    "_ax3.set_ylim(-5, 95)\n",
    "_ax3.set_xlabel(r\"$t$ (min)\", fontsize=13)\n",
    "_ax3.set_ylabel(r\"$T$ (°C)\", fontsize=13)\n",
    "_ax3.set_title(\"Coffee in a warming room\", fontsize=13)\n",
    "_ax3.grid(True, alpha=0.2)\n",
    "_fig3.tight_layout()\n",
    "_tg3, _Tg3 = np.meshgrid(np.linspace(0, 90, 13), np.linspace(0, 90, 10))\n",
    "draw_arrows(_ax3, _tg3, _Tg3, f_room(_tg3, _Tg3), alpha=0.45)\n",
    "\n",
    "_t_room = np.linspace(0, 90, 100)\n",
    "_ax3.plot(_t_room, room_temp(_t_room), \":\", color=\"tomato\", linewidth=2.0,\n",
    "          label=\"room temperature\")\n",
    "_starts = [T0_cool, 50.0, 5.0]\n",
    "_colours = [\"#1a5276\", \"#1e8449\", \"#7d3c98\"]\n",
    "for _T_start, _col in zip(_starts, _colours):\n",
    "    _t_r, _T_r = follow_arrows(f_room, 0.0, _T_start, 90.0, 0.5)\n",
    "    _ax3.plot(_t_r, _T_r, color=_col, linewidth=2.0,\n",
    "              label=rf\"coffee starting at {_T_start:g} °C\")\n",
    "_ax3.legend(fontsize=10, loc=\"best\", framealpha=0.9)\n",
    "_fig3;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ecfG",
   "metadata": {
    "marimo": {
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   "source": [
    "**Questions.**\n",
    "\n",
    "3. Does the coffee ever catch up with the room temperature? Look at the curves after about 45 minutes: is the coffee above or below the room, and by roughly how much?\n",
    "4. Explain that gap. *Hint:* once the coffee has settled into following the room, it must warm at the same rate as the room, 0.25 °C per minute. What does $f_\\text{room} = 0.25$ tell you about $T - (15 + 0.25t)$?\n",
    "5. Change `k_cool` to `0.05` (a better-insulated mug). Predict the new gap, then check.\n",
    "\n",
    "<details><summary><b>Answers (open after you have answered)</b></summary>\n",
    "\n",
    "\n",
    "1. No. The rows differ, because `f_room` now uses `t`: the same temperature means something different early on (cold room) and later (warm room).\n",
    "2. On the room-temperature line $T = 15 + 0.25t$, where $T - \\text{room} = 0$. It is now a sloping line, not a horizontal one.\n",
    "3. It never catches up. All three curves end up running parallel to the room line, about 2.5 °C *below* it.\n",
    "4. Setting $-k\\,(T - \\text{room}) = 0.25$ gives $T - \\text{room} = -0.25/k = -2.5$ °C for $k = 0.1$. The coffee has to be cooler than the room for heat to flow *into* it at the rate the room is warming.\n",
    "5. $-0.25/0.05 = -5$ °C: a better-insulated mug lags further behind.\n",
    "\n",
    "This is the lecture's $y' = t - y$ in disguise: the curves funnel onto a line that runs parallel to the line of flat arrows, a little way behind it. You could also solve it with an integrating factor, but the picture gets you the answer without any integrals.\n",
    "\n",
    "</details>"
   ]
  }
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