For the following exercises, use technology to graph the region. Determine which method yon think would be easiest to use to calculate the volume generated when the function is rotated around the specified axis. Then, use your chosen method to find the volume. 155. [T] y = 3 x 3 − 2 , y = x and x = 2 rotated around the y -axis.
For the following exercises, use technology to graph the region. Determine which method yon think would be easiest to use to calculate the volume generated when the function is rotated around the specified axis. Then, use your chosen method to find the volume. 155. [T] y = 3 x 3 − 2 , y = x and x = 2 rotated around the y -axis.
For the following exercises, use technology to graph the region. Determine which method yon think would be easiest to use to calculate the volume generated when the function is rotated around the specified axis. Then, use your chosen method to find the volume.
155. [T]
y
=
3
x
3
−
2
,
y
=
x
and
x
=
2
rotated around the y-axis.
Consider the solid whose base is the region bounded by the x-axis, y = x, and y=-4x + 5. Find the volume of the solid if the slices perpendicular to the
y-axis are rectangles with height sin(y).
Give the exact volume below in the form A + B sin(C) where A, B and C are constants to be determined.
Click on the symbol for the equation editor to enter in math mode.
b
a
sin (a)
∞
a
Answer: -2e
#
The area enclosed by the graphs of
y = 1/x, y = 1, and x = 3 is rotated
about the line y = -1. Find the volume.
A pontoon is to be made in the shape shown. The pontoon is designed by rotating the graph of y = 1 − (x2/16), −4 ≤ x ≤ 4 about the x-axis, where x and y are measured in feet. Find the volume of the pontoon.
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY