Question 25 Find the AREA of the region bounded by: y = x2 + 3x and...
practice 1. Find the area of the region bounded by the curves. y= x2 - 4x, y = 2x
Which expression represents the area of the region bounded by y = 5x – x2 and y= 2x? O None of the other choices 5°(+32 + xº)da $*+32 + 2?) de (3x - ² de (32 – 22) de
Please show all work 1. Find the area of the region bounded by the graphs of the given functions on the intervals indicated. a. y = x2 + 2, y = x, (2,5) b. y = (2x +1, y = 3x + 2, [0,2] C. y = ex-1, y = x,[1,4]
Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y 3x+10 and the parabola y x2 about the following lines. a. The line x 5 b. The line xE - 2 C. The x-axis d. The line y 25 Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y 3x+10 and the parabola y x2 about the following...
2. Sketch the region bounded by the graphs of the equations and find the area of the region f(x) = x2 + 2x +1 g(x) = 3x +3
Find the area of the shaded region bounded by y = 2x and y = xV49 – x2 in the figure. 2. (Give an exact answer. Use symbolic notation and fractions where needed.)
8. Consider the region bounded by the y = x2 - 2x + 1 and y = 1 + 2x - x? Find the area of the region. a. b. Find the volume of the solid when the region is rotated about the x-axis. c. Find the volume of the solid when the region is rotated about the y-axis. d. Find the volume of the solid when the region is rotated about the line x = 5. e. If the...
Find the area of the region bounded by the graphs of the given equations. y= 6x – 1, y = x2 + 3x + 1 Not listed
B Consider the shaded region bounded by y=x2 – 4 and y= 3x + 6 (see above). Note that the r-axis and y-axis are not drawn to the same scale. (a) Find the coordinates of the points A, B, and C. Remember to show all work. (b) Set up but do not evaluate an integral (or integrals) in terms of r that represent(s) the area of the region. That is, your final answer should be a definite integral (or integrals)....
9. The region bounded by y = x2, y = 3x, is revolved about the x-axis. a) Sketch the region b) Sketch the solid and a representative disk/washer. c) Set-up the integral to find the volume using disks/washers. DO NOT SOLVE!!!