Can you please do questions [75,79,83,84,89,91,100,101] Or at least do some? And can you explain it easily so i understand? Thank you! The base is the region enclosed by y=x^(2) and y=9. Slices perpendicular to the x-axis are right isosceles triangles.
The base is the area between y=x and y=x^(2). Slices perpendicular to the x-axis are semicircles.
For the following exercises, draw the region bounded by the curves. Then, use the disk method to find the volume when the region is rotated around the x-axis.
75. y=2x^(2),x=0,x=4, and y=0
79. y=sinx,y=cosx, and x=0
83. y=2x^(3),x=0,x=1, and y=0
84. y=3x^(2),x=0, and y=3
89. y=4-x,y=x, and x=0
91. y=x^(2) and y=x+2
For the following exercises, draw the region bounded by the curves. Then, use the washer method to find the volume when the region is revolved around the y-axis.
100. y=
oot(3)(x) and y=x^(3)
101. x=e^(2y),x=y^(2),y=0, and y=ln(2)
72. The base is the region enclosed by y=x2 and y = 9. Slices perpendicular to the x-axis are right isosceles triangles.
90.y=x+2,y=x+6,x=0,andx=5
91.y=x2 andy=x+2
73. The base is the area between y=x and y=x2. Slices perpendicular to the x-axis are semicircles.
92.x2=y3 and x3=y2
93.y=4-x2andy=2-x
For the following exercises, draw the region bounded by the curves. Then, use the disk method to find the volume when the region is rotated around the x-axis.
94.[T]y=cosx,y=e-xx=0,andx=1.2927
74.x+y=8,x=0,andy=0
95.y=vxandy=x2
75.y=2x2,x=0,x=4,andy=0
96.y=sinx,y=5sinx,x=0andx=
76.y=e+1.x=0.x=1.andy=
97.y=Vi+x2andy=v4-x2
77.y=x4,x=0,andy=1
For the following exercises, draw the region bounded by the curves. Then, use the washer method to find the volume when the region is revolved around the y-axis.
78.y=vx,x=0,x=4,andy=0
98.y=vx,x=4,andy=0
79.y=sinx,y=cosx,andx=0
99.y=x+2,y=2x-1,andx=0
80.y=x,x=2,andy=3
100.y=3xandy=x3
81.x2-y2=9andx+y=9,y=0andx=0
101.x=e2y,x=y2,y=0,andy=ln2
For the following exercises, draw the region bounded by the curves. Then, find the volume when the region is rotated around the y-axis.
102.x=/9-y2,x=e-y,y=0,andy=3
82.y=4-x,x=0,andy=0
83.y=2xx=0,x=1,andy=0
84.y=3x2,x=0,andy=3
85.y=V4-x2,y=0,andx=0
1 86.y= x=0,andx=3 Vx+1
87.x=secyandy=y=0andx=0
89.y=4-x,y=x,andx=0
