around 20 pre calc problems
1.  Find the center, vertices, and foci of the ellipse with equation = 1. (2 points)  

2.  Find the center, vertices, and foci of the ellipse with equation 2x^{2} + 9y^{2} = 18. (2 points)  

3.  Graph the ellipse with equation = 1. (2 points)  

4.  Find an equation in standard form for the ellipse with the vertical major axis of length 18 and minor axis of length 16. (2 points)  

5.  An elliptical riding path is to be built on a rectangular piece of property, as shown below.(SHORT ANSWER)
The rectangular piece of property measures 8 mi by 6 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides. (2 points) 
1. Draw a graph of the rose curve.
r = 4 cos 2Î¸, 0 â‰¤ Î¸ â‰¤ 2Ï€ (2 points) 


2.  The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph.
[5, 5] by [5, 5] (2 points) 


3.  Determine if the graph is symmetric about the xaxis, the yaxis, or the origin.
r = 3 – 2 cos Î¸ (3 points) 


4.  Determine if the graph is symmetric about the xaxis, the yaxis, or the origin. (SHORT ANSWER)
r = 5 cos 3Î¸ (3 points) 
1.  Use the given graph to determine the limit, if it exists. (4 points)
Find and . 


2.  Use the given graph to determine the limit, if it exists. (2 points)
Find . 


3.  Use the given graph to determine the limit, if it exists. (4 points) (SHORT ANSWER)
Find . 
1.  Find the indicated limit, if it exists. (2 points)  

2.  Find the indicated limit, if it exists. (2 points)  

3.  Find the indicated limit, if it exists. (2 points)  

4.  Use graphs and tables to find the limit and identify any vertical asymptotes of . (2 points)  

5.  Give an example of a function with both a removable and a nonremovable discontinuity. (2 points) (SHORT ANSWER) 