Stewart_Calc_7ET ch15sec10
MULTIPLE CHOICE
1. Find the Jacobian of the transformation.
a.
b.
c.
d.
e.
2. Use the transformation to evaluate the integral
, where R is the region bounded by the ellipse .
a.
b.
c.
d.
e.
3. Use the given transformation to evaluate the integral.
, where R is the region in the first quadrant bounded by the lines and
the hyperbolas .
a.
9.447
b.
3.296
c.
8.841
d.
4.447
e.
5.088
4. Use the given transformation to evaluate the integral.
, where R is the square with vertices (0, 0), (4, 6), (6, ), (10, 2) and
a.
208
b.
52
c.
343
d.
42
e.
312
NUMERIC RESPONSE
1. Find the Jacobian of the transformation.
2. Evaluate the integral by making an appropriate change of variables. Round your answer to
two decimal places.
R is the parallelogram bounded by the lines .