Additional problems for Final Review
- Find the degrees of inclination of -2x + 3y = 5.
2. Find the distance between the point (-2,1) and the line x – y = 2.
3. Given the conic section x² +5y² -8x -30y -39 = 0, identify the center, foci and vertices.
4. Find the equation
of the ellipse in standard form if the foci are 
and the major axis has
a length of 8 units.
5. Find in degrees the acute angle in between the lines given by 2x – y = 2 and
4x + 3y = 24
- Find
the equation of the hyperbola with vertices at ( 0,4) and ( 0,0) and passes through the point
.
- Given
the point
, find its rectangular coordinates. - Given
the point ( 2, -2
), find the polar coordinates that satisfy each of the
following.
a)
r > 0 and 
b) r > 0
and 
c) r < 0 and 
- Change the equation to rectangular form. Describe the graph of this equation.
.
- Change the equation to polar form. Describe the graph of this equation.
x² + y² = 2x
Answers: 1) ( 33.69 degrees) 2) 
3 )
( Answers: center ( 4,3),
vertices ( 14, 3), ( -6, 3), foci 
)
4) ( 
5) 63.43 degrees 6) 
7) 
8) a) 
b) 
c) 
9) y² = 4( x + 1), This is a
parabola that opens right. 10) r² =2rcos
Circle.