1. Find an equation of the tangent to the curve at the point corresponding to the value of the parameter. {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

2. Find an equation of the tangent to the curve at the point ( {image} )
Find an equation of the tangent to the curve at the point ( {image} ). Then graph the curve and the tangent. x = 9 sin 2t , y = 5 sin t 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. Find the points on the curve where the tangent is horizontal. {image}1.
{image} 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. Find equations of the tangents to the curve x = 3 t 2 + 1, y = 2 t that pass through the point ( 4 , 3 ).
y = - 7 x + 11 , y = x - 1
y = - 2 x + 12 , y = x - 6
y = - 7 x + 15 , y = x - 6
y = - 2 x + 11 , y = x - 1 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

5. A cow is tied to a silo with radius 2 by a rope just long enough to reach the opposite side of the silo. Find the area available for grazing by the cow. Round the answer to the nearest hundredth. {image}
13.16
32.90
82.68
103.35 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