Find the volume of the solid of revolution that is formed by rotating the region bounded...

Find the volume of the solid of revolution that is formed by rotating the region bounded by the graphs of the equations given around the indicated line or axis

1.- y=9-x^2, y=0, around the x axis

2.- y=√x-1, x=5, y=0, around the x=5

3.- y=1-x, x=0, y=0, around the y= -2

4.- y=x^2, x=0, y=3, around the y axis

Expert Solution

milcah answered 2 years ago

Find the volume of the solid obtained by rotating the region bounded by x = 4-...

Find the volume of the solid obtained by rotating the region bounded by x = 4- (y-1) ^ 2; x + y = 4 on the X axis, you must graph the region

(1 point) Find the volume of the solid obtained by rotating the region bounded by the...

(1 point) Find the volume of the solid obtained by rotating the region bounded by the given curves below about the line x=5. y=x^2,y=5x Volume =

Find the volume of the solid obtained by rotating the region bounded by y = x...

Find the volume of the solid obtained by rotating the region bounded by y = x 3 , y = 1, x = 2 about the line y = −3. Sketch the region, the solid, and a typical disk or washer (cross section in xy-plane). Show all the work and explain thoroughly.

4) Find the volume of the solid formed by the region bounded by the graphs of...

4) Find the volume of the solid formed by the region bounded by the graphs of y= x3 , y=x for x=0 and x=1 -Sketch the region bounded by the graphs of the functions and find the area of the region bounded by the graphs of y=x-1 and y= (x − 1)3 -calculate the arc length of the graph y= x=1 to x=2 14x7 + 101x5 from -Use the washer method to find the volume of the solid formed by...

a.)Using disks or washers, find the volume of the solid obtained by rotating the region bounded...

a.)Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y^2=x and x = 2y about the y-axis b.) Find the volume of the solid that results when the region bounded by x=y^2 and x=2y+15 is revolved about the y-axis c.) Find the length of the curve y=ln(x) ,1≤x≤sqrt(3) d.)Consider the curve defined by the equation xy=5. Set up an integral to find the length of curve from x=a to x=b

Use the Disk/Washer Method to find the volume of the solid of revolution formed by rotating...

Use the Disk/Washer Method to find the volume of the solid of revolution formed by rotating the region about each of the given axes. 14. Region bounded by: y=4 - x^2 and y=0. (a) the x-axis (c) y= -1 (b)y=4 (d) x=2 AND 17. Region bounded by: y=1/ sqrt((x^2) +1), x= -1, x=1 and the x-axis. Rotate about: (a) the x-axis (c) y= -1 (b) y=1

What is the volume of the solid obtained by rotating the region bounded by the curves...

What is the volume of the solid obtained by rotating the region bounded by the curves x = y^2 and x = 1 − y^2 rotated about line x = −2?

⃗ Find the volume of the solid of revolution obtained by revolving the planeregion bounded by...

⃗ Find the volume of the solid of revolution obtained by revolving the planeregion bounded by ? = ? − ?² , ? = 0 about line ? = 2 . Mathematics Civil Engineering Please solve this question in 15 minutes is necessary

1 Find the volume of the solid obtained by rotating the region bounded by y=sin(5x^2), y=0,...

1 Find the volume of the solid obtained by rotating the region bounded by y=sin(5x^2), y=0, x=0, and x=√π/5 about the y-axis. 2 Find the volume of the solid obtained by rotating about the y-axis the region in the first quadrant enclosed by x=5y and y^3=x with y≥0 3 The base of a solid is the region in the xy-plane bounded by the curves y=25−x2 and y=0. Cross-sections of the solid, taken parallel to the y-axis, are triangles whose height...

Find the volume of the solid generated by revolving the region bounded by the graphs of...

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. y = 1 3x + 5 y = 0 x = 0 x = 7

Question