Consider the region R enclosed between the curves y = 2 /x and y
= 1, between x = 1 and x = 2.
Calculate the volume of the solid obtained by revolving R about
the x-axis,
(a) using cylindrical shells;
(b) using washers
a. Find the volume of the solid obtained by rotating the region
enclosed by the curves y = 4 x^2 , y = 5 − x^2 about the line y =
11
b. Find the volume of the solid obtained by rotating the region
enclosed by the graphs about the given axis.
y = 2sqt (x), y=x, about x=-20.
Please leave your answer in fraction if
possble
Sketch the region enclosed by the given curves.
y = 8 cos
8x, y = 8 − 8 cos
8x, 0 ≤ x ≤
π/6
I already have the sketch however I need its Area
A) Find its area
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 :)