1. Sketch the region enclosed by {image} and {image}
Sketch the region enclosed by {image} and {image} . Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region.
124
374 93
372
1,488
1,116 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. Sketch the region enclosed by {image} and {image}
Sketch the region enclosed by {image} and {image} . Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region. 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. Use a graph to find approximate x-coordinates of the points of intersection of the given curves. {image} {applet}
x1 = -1.2, x2 = 1.2
x1 = -1.3, x2 = 1.3
x1 = -1.1, x2 = 1.1
x1 = -1.0, x2 = 1.0 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. Find the area of the region bounded by the parabola {image} , the tangent line to this parabola at (6, 36), and the x-axis. 75 72 73 76 78 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. Find (approximately) the area of the region bounded by the curves
Find (approximately) the area of the region bounded by the curves. {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