bpo-32436: Document PEP 567 changes to asyncio. (GH-7073)

(cherry picked from commit 28b9178023a445b1da2694774c265cd4b7a244ec)

Co-authored-by: Yury Selivanov <yury@magic.io>
diff --git a/Doc/library/asyncio-task.rst b/Doc/library/asyncio-task.rst
index 2488a90..4892333 100644
--- a/Doc/library/asyncio-task.rst
+++ b/Doc/library/asyncio-task.rst
@@ -275,19 +275,27 @@
       :exc:`CancelledError`. If the future isn't done yet, raises
       :exc:`InvalidStateError`.
 
-   .. method:: add_done_callback(fn)
+   .. method:: add_done_callback(callback, *, context=None)
 
       Add a callback to be run when the future becomes done.
 
-      The callback is called with a single argument - the future object. If the
+      The *callback* is called with a single argument - the future object. If the
       future is already done when this is called, the callback is scheduled
       with :meth:`~AbstractEventLoop.call_soon`.
 
+      An optional keyword-only *context* argument allows specifying a custom
+      :class:`contextvars.Context` for the *callback* to run in.  The current
+      context is used when no *context* is provided.
+
       :ref:`Use functools.partial to pass parameters to the callback
       <asyncio-pass-keywords>`. For example,
       ``fut.add_done_callback(functools.partial(print, "Future:",
       flush=True))`` will call ``print("Future:", fut, flush=True)``.
 
+      .. versionchanged:: 3.7
+         The *context* keyword-only parameter was added. See :pep:`567`
+         for more details.
+
    .. method:: remove_done_callback(fn)
 
       Remove all instances of a callback from the "call when done" list.
@@ -421,8 +429,15 @@
    Don't directly create :class:`Task` instances: use the :func:`create_task`
    function or the :meth:`AbstractEventLoop.create_task` method.
 
+   Tasks support the :mod:`contextvars` module.  When a Task
+   is created it copies the current context and later runs its coroutine
+   in the copied context.  See :pep:`567` for more details.
+
    This class is :ref:`not thread safe <asyncio-multithreading>`.
 
+   .. versionchanged:: 3.7
+      Added support for the :mod:`contextvars` module.
+
    .. classmethod:: all_tasks(loop=None)
 
       Return a set of all tasks for an event loop.