Find the volume of the solid obtained by revolving the region
bounded above by the curve...
Find the volume of the solid obtained by revolving the region
bounded above by the curve y = f(x) and below by the curve y= g(x)
from x = a to x = b about the x-axis.
⃗ 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
a)
Find the volume of the solid obtained by revolving the region in
the first quadrant bounded by the curves y= x^(1/2) & y= x^5
about the x-axis
b) Find the volume of the solid obtained by revolving the
region between the curve
f(x)= x^(1/3) , the line y=2, and the line x=8 about the
y-axis
Find the volume of the solid generated by revolving the region
bounded by y = sqrt(x) and the lines and y=2 and x=0 about:
1) the x-axis.
2) the y-axis.
3) the line y=2.
4) the line x=4.
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.
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
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...