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. 385.341709 1,150.025126 95.835427 127.78057 766.683417 383.341709 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
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. 6.531973 78.383672 39.191836 41.191836 13.063945 117.575508 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
Use a graph to find approximate x-coordinates of the points of intersection of the given curves. {image} {applet} x1 = -1.3, x2 = 1.3 x1 = -0.8, x2 = 0.8 x1 = -0.9, x2 = 0.9 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
Find the area of the region bounded by the parabola {image} , the tangent line to this parabola at (10, 100), and the x-axis. 333.333333 336.333333 334.333333 338.333333 339.333333 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
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