Answer:
Step-by-step explanation:
A function and its inverse has the following properties
This implies that;
From the table,
This means that:
Note that: f(7) means the value of f(x) when x=7.
From the table f(x)=-6 when x=7.
That is why f(7)=-6.
How many planes appear in the figure?
1 answer:
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Make a change of coordinates:
The Jacobian for this transformation is
and has a determinant of
Note that we need to use the Jacobian in the other direction; that is, we've computed
but we need the Jacobian determinant for the reverse transformation (from
to 
. To do this, notice that
we need to take the reciprocal of the Jacobian above.
The integral then changes to
The Jacobian for this transformation is
and has a determinant of
Note that we need to use the Jacobian in the other direction; that is, we've computed
but we need the Jacobian determinant for the reverse transformation (from
we need to take the reciprocal of the Jacobian above.
The integral then changes to