hw7 - padilla(tp5647 Homework07 Fouli(58320 This print-out...

padilla (tp5647) – Homework07 – Fouli – (58320) 1
This print-out should have 17 questions.
Multiple-choice questions may continue on
the next column or page – find all choices
before answering.
001 10.0 points
Find y
′
when
xy + 5 x + 3 x
2
= 4 .
1. y
′
=
y + 5 + 3 x
x
2. y
′
=
y + 5 + 6 x
x
3. y
′
= - ( y + 5 + 6 x )
4. y
′
= -
y + 5 + 6 x
x
5. y
′
=
5 + 3 x - y
x
6. y
′
= -
y + 5 + 3 x
x
002 10.0 points
Find
dy
dx
when
1
√
x
+
3
√
y
= 2 .
1.
dy
dx
= 3
parenleftBig
x
y
parenrightBig
3 / 2
2.
dy
dx
=
1
3
parenleftBig
y
x
parenrightBig
3 / 2
3.
dy
dx
= -
1
3
parenleftBig
y
x
parenrightBig
3 / 2
4.
dy
dx
= - 3
parenleftBig
x
y
parenrightBig
3 / 2
5.
dy
dx
= 3( xy )
1 / 2
6.
dy
dx
=
1
3
( xy )
1 / 2
003 10.0 points
Find
dy
dx
when
tan( x - y ) = x .
1.
dy
dx
=
y
2
1 + x
2
2.
dy
dx
= -
x
2
1 + y 2
3.
dy
dx
= -
y
2
1 + x
2
4.
dy
dx
=
x
2
1 + y 2
5.
dy
dx
=
x
2
1 + x 2
6.
dy
dx
= -
x
2
1 + x
2
004 10.0 points
Find the equation of the tangent line to the
graph of
y
2
- xy - 6 = 0 ,
at the point P = (1 , 3).
1. 5 y + 3 x = 12
2. 5 y = 3 x + 12
3. 4 y = 3 x + 9
4. y = 3 x
5. 4 y + 3 x = 9
005 10.0 points

padilla (tp5647) – Homework07 – Fouli – (58320) 2
Find the slope of the tangent line to the
graph of
x
3
- 2 y
3
+ xy = 0
at the point P (1 , 1).
1. slope =
3
2
2. slope = -
5
4
3. slope =
5
4
4. slope =
4
5
5. slope = -
4
5
6. slope = -
2
3
006 10.0 points
The points P and Q on the graph of
y
2
- xy + 6 = 0
have the same x -coordinate x = 5. Find the
point of intersection of the tangents to the
graph at P and Q .