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1.
Question 1
Use implicit differentiation to find
����
dxdy
from the equation
2−
=sin2
�
�
�
y
2
−
y
=sin2
x
.
1 / 1 point
Correct
2.
Question 2
Find the derivative
����
dxdy
if
�
x
and
�
y
are related through
=
�� ��
xy
=
e
y
.
0 / 1 point
Incorrect
3.
Question 3
Use implicit differentiation to find
����
dxdy
if
sin
=
−
cos
� � �
�
sin
x
=
e
−
y
cos
x
.
1 / 1 point
Correct
4.
Question 4
Find the derivative
����
dxdy
from the equation
tan
−
2ln
=4
�
� �
�
x
tan
y
−
y
2
ln
x
=4
.
0 / 1 point
Incorrect
5.
Question 5
Model a hailstone as a round ball of radius
�
R
. As the hailstone falls from the sky, its radius
increases at a constant rate
�
C
. At what rate does the volume
�
V
of the hailstone change?
1 / 1 point
Correct
6.
Question 6
The volume of a cubic box of side-length
�
L
is
=
3
� �
V
=
L
3
. How are the relative rates of change
of
�
L
and
�
V
related?
1 / 1 point
Correct