1. Find the horizontal and vertical asymptotes of each curve
Find the horizontal and vertical asymptotes of each curve. Check your work by graphing the curve and estimating the asymptotes. {image} 1.
{applet} 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2. Find the limits as {image} and as {image}
Find the limits as {image} and as {image} . Use this information, together with intercepts, to give a rough sketch of the graph. {image} 1.
{applet} 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3. Let P and Q be polynomials
Let P and Q be polynomials. Find {image} if the degree of P is less than the degree of Q.
{image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4. A tank contains 7,000 L of pure water
A tank contains 7,000 L of pure water. Brine that contains 20 g of salt per liter of water is pumped into the tank at a rate of 25 L/min. It is known that the concentration of salt after t minutes (in grams per liter) is {image} What happens to the concentration as {image} ?
{image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50