2. Find the area of the region bounded by the graphs of f(x)= 3x - 1...

Transcribed Image Text:

2. Find the area of the region bounded by the graphs of f(x)= 3x - 1 and g(x) = 3 - x. 3. Find the area of the region bounded by the graphs of x = y+ 6 and x = 2 - 5y. 4. Find the area of the region bounded by y = x, y = 2 - x, and y = 0. 5. Find the area of the region bounded by: f(x): = x+3 and g(x) = 1 2x + 3 6. Find the area of the region bounded by: f(y) = y and g(y) = y +2 7. Find the area of the region bounded by: f(y) = y + 1, g(y) = 0, y = 1, y = 2 8. Find the area of the region bounded by: f(x) = cos x, g(x) = 2 - cos x, 0 x 2 9. Find the area of the region bounded by: f(x) = 2sin x, g(x) 10. Find the area of the region bounded by: f(x) = xe - xe = tan x, - 13 VI VI 13 -x2 y = 0, 0 x1 11. The graphs of y = 1 - x and y = x - 2x + 1 intersect at three points. However, the area between the curves can be found by a single integral. Explain why and write the integral for this area. | 2. Find the area of the region bounded by the graphs of f(x)= 3x - 1 and g(x) = 3 - x. 3. Find the area of the region bounded by the graphs of x = y+ 6 and x = 2 - 5y. 4. Find the area of the region bounded by y = x, y = 2 - x, and y = 0. 5. Find the area of the region bounded by: f(x): = x+3 and g(x) = 1 2x + 3 6. Find the area of the region bounded by: f(y) = y and g(y) = y +2 7. Find the area of the region bounded by: f(y) = y + 1, g(y) = 0, y = 1, y = 2 8. Find the area of the region bounded by: f(x) = cos x, g(x) = 2 - cos x, 0 x 2 9. Find the area of the region bounded by: f(x) = 2sin x, g(x) 10. Find the area of the region bounded by: f(x) = xe - xe = tan x, - 13 VI VI 13 -x2 y = 0, 0 x1 11. The graphs of y = 1 - x and y = x - 2x + 1 intersect at three points. However, the area between the curves can be found by a single integral. Explain why and write the integral for this area. |