7. The graph of the continuous function f consists of 3 line segments, as shown. What...

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7. The graph of the continuous function f consists of 3 line segments, as shown. What is the average of f on the interval [-1,6]? 7. 4.7 (dalon 08) sil sol god sdr 3 2 N 2 3 5 8. Let R be the triangular region in the first quadrant, with vertices at points (0, 0), (0, 3), and (2, 3). The region is the base of a solid. For the solid, each cross section perpendicular to the y-axis is an isosceles right triangle with the right angle on the y-axis and one leg in the xy-plane. What is the volume of the solid? 8. bilet 9. A small car accelerates from rest at 2+3t mph per second for 6 seconds, where t is in seconds, and continues at constant velocity after that. What is the car's velocity after 12 seconds? (A) 12+2(6) 1/2mph (B) 12+2(6)/2mph B (C) 24+2(6)/2mph 01- 9. 10. Find the area enclosed by the graphs of y = x and y = x. (A) 21/3 208) 5 (B) 12 10. (D) 24+2(12) mph nulave ton ob jud st node benso ai 2 noi bles to smuloved (C) = 1/3 (D) 5/15 4 11. Let R be the shaded region bounded by the graph of y = x, the graph of y=x-2, and the x-axis, as shown in the figure. Which of the following gives the volume of the solid generated when R is revolved about the x-axis? 4 og 0E) (A) 7 (x-(x-2)) dx 0 2 zasigu () n xdx + x(x-(x2)) dx 2 (B) 2 cosiqa bo nola *xdx + (x-(x-2)) dx 0 4 (D) (x-(x-2)) dx 11. 2+ 1+ R 2 -1+ ision is A sulavs tea ob udh W 7. The graph of the continuous function f consists of 3 line segments, as shown. What is the average of f on the interval [-1,6]? 7. 4.7 (dalon 08) sil sol god sdr 3 2 N 2 3 5 8. Let R be the triangular region in the first quadrant, with vertices at points (0, 0), (0, 3), and (2, 3). The region is the base of a solid. For the solid, each cross section perpendicular to the y-axis is an isosceles right triangle with the right angle on the y-axis and one leg in the xy-plane. What is the volume of the solid? 8. bilet 9. A small car accelerates from rest at 2+3t mph per second for 6 seconds, where t is in seconds, and continues at constant velocity after that. What is the car's velocity after 12 seconds? (A) 12+2(6) 1/2mph (B) 12+2(6)/2mph B (C) 24+2(6)/2mph 01- 9. 10. Find the area enclosed by the graphs of y = x and y = x. (A) 21/3 208) 5 (B) 12 10. (D) 24+2(12) mph nulave ton ob jud st node benso ai 2 noi bles to smuloved (C) = 1/3 (D) 5/15 4 11. Let R be the shaded region bounded by the graph of y = x, the graph of y=x-2, and the x-axis, as shown in the figure. Which of the following gives the volume of the solid generated when R is revolved about the x-axis? 4 og 0E) (A) 7 (x-(x-2)) dx 0 2 zasigu () n xdx + x(x-(x2)) dx 2 (B) 2 cosiqa bo nola *xdx + (x-(x-2)) dx 0 4 (D) (x-(x-2)) dx 11. 2+ 1+ R 2 -1+ ision is A sulavs tea ob udh W