Choose the general slicing method, the disk/washer method, or
the shell method to find the volume of the following solids.
The region bounded by the curves y=x+1, y=12/x, and y=1 is
revolved about the x-axis. What is the volume of the solid that is
generated?
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
Find the area between the curve and the x axis from [-1,5] .
f(x)=5x2-3x+4 .Use the Fundamental Theorem of
Calculus.
Find the Area using Right Hand Riemann Sums with n=10
Explain the difference between the two methods. Which of the two
methods is more accurate? How can you make the less accurate way
more accurate without changing the process?
1. Find the area between the curves y = x2 and y = x
+ 2.
Round your answer to one decimal place.
2. Find the area under the curve defined by the following data
points:
x
1
4
7
10
13
16
19
22
25
y
4.2
4.6
4.8
6.2
6.8
7.8
9.1
8.8
9.4
Round your answer to 2 decimal places.
I appreciate your help :)
Find the volume of the solid obtained by revolving the area
under y=cosx on [0,π/2] around the y-axis.
The total weight of a cable hanging from the ceiling plus the
bucket of coal it is attached to is F(x)=1800−2x pounds when the
bucket is xx feet off the ground (the cable gets shorter as the
bucket is lifted, so the weight decreases). Find the total work
done in lifting the bucket from the ground to 100 feet off the
ground.