Problem set 1 (Plane Figures) Solve the problems below using the following steps; i.) Sketch the area, ii.) Determine the boundaries a and b, iii.) Set up the definite integral, iv.) Integrate 1. Find the area bounded by the curve y = x², the x-axis, the ordinates x = 1 and x = 3. 2. Find the area bounded by the parabola x = 8+ 2y – y² and the y-axis and the lines y = -1 and y = 3. 3. Find the area bounded by the curve y = x² – 7x + 6 and the x-axis and the ordinates x = 2 and x = 6. 4. Find the area bounded by the parabola y2 = 4x and the line y = 2x – 4. 5. Find the area of the region enclosed by the parabolas y = x² and y = 2x – x². 6. Find the area of the region bounded by the curves y = x +1,y=9 – x², x = -1,x = 2.
Problem set 1 (Plane Figures) Solve the problems below using the following steps; i.) Sketch the area, ii.) Determine the boundaries a and b, iii.) Set up the definite integral, iv.) Integrate 1. Find the area bounded by the curve y = x², the x-axis, the ordinates x = 1 and x = 3. 2. Find the area bounded by the parabola x = 8+ 2y – y² and the y-axis and the lines y = -1 and y = 3. 3. Find the area bounded by the curve y = x² – 7x + 6 and the x-axis and the ordinates x = 2 and x = 6. 4. Find the area bounded by the parabola y2 = 4x and the line y = 2x – 4. 5. Find the area of the region enclosed by the parabolas y = x² and y = 2x – x². 6. Find the area of the region bounded by the curves y = x +1,y=9 – x², x = -1,x = 2.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 35E: The spherical storage tank described in Example 5 had a length of radius of 3ft. Because the tank...
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Transcribed Image Text:Problem set 1 (Plane Figures)
Solve the problems below using the following steps;
i.) Sketch the area,
ii.) Determine the boundaries a and b
iii.) Set up the definite integral,
iv.) Integrate
1. Find the area bounded by the curve y = x², the x-axis, the ordinates x = 1 and x = 3.
2. Find the area bounded by the parabola x = 8 + 2y – y² and the y-axis and the lines y =
-1 and y = 3 .
3. Find the area bounded by the curve y = x² – 7x + 6 and the x-axis and the ordinates x =
2 and x = 6.
4. Find the area bounded by the parabola y² = 4x and the line y = 2x – 4 .
5. Find the area of the region enclosed by the parabolas y = x² and y = 2x – x².
6. Find the area of the region bounded by the curves y = x + 1,y=9 – x², x = -1,x = 2.
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