Disk method Let R be the region bounded by the following curves. Use the disk method to find the volume of the solid generated when R is revolved about the $x$-axis.
$y=4-x^2, y=0, x=0$

Why did the Dutch and the Swedes lose their North American colonies?

Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. If possible, find the volume of S by both the disk/washer and shell methods. Check that your results agree and state which method is easier to apply. y=6/(x+3), y=2-xl revolved about the x-axis

Summarize the Great Depression's effects on various aspects of American life.

Housing

Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. If possible, find the volume of S by both the disk/washer and shell methods. Check that your results agree and state which method is easier to apply. y=

$$x^2$$

, y=2-x, and x=0 in the first quadrant; revolved about the y-axis.

A hospital is to be built on open flat terrain in central Texas. If the building is 9.1 meters high, determine the internal pressure within the building if it is fully enclosed. Also, what is the external wind pressure acting on the side walls of the building? Each wall of the building is 25 meters long.

Which of these is equivalent to the expression $s+s+s+s+12$?

A. $4s+3$

B. $4(s+3)$

C. $4s(s+3)$

D. $4+s+12$

Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. If possible, find the volume of S by both the disk/washer and shell methods. Check that your results agree and state which method is easier to apply. y=1/(x+1), y=1-x/3; revolved about the x-axis

Consider a solid that is generated by revolving a plane region about the y-axis. Describe the position of a representative rectangle when using (a) the shell method and (b) the disk method to find the volume of the solid.

Given the mosaic plot of the data on Diet and Politics from the earlier exercise combined with data on Gender.

Does there appear to be an association between Politics and Diet? Explain briefly.

Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. If possible, find the volume of S by both the disk/washer and shell methods. Check that your results agree and state which method is easier to apply. y=x,

$$y=x^{1/3}$$

in the first quadrant; revolved about the x-axis

Use the data from the bar graph in the indicated exercise.

In what year will the average salary reach 9.0 million?

What are the functions of the North American Free Trade Agreement (NAFTA)?

If the dna template strand TACTGATCTTTAACCCTA undergoes transcription. What is the sequence of the rna that is produced?