Provide an appropriate response.The region shown here is to be revolved about the y-axis to generate a solid. Which of the methods (disk, washer, shell) could you use to find the volume of the solid? How many integrals would be required in each case?
What will be an ideal response?
The volume can be found using the disk method with 1 integral. Since x = 2y - y2 cannot be solved for y, the shell method cannot be used.
Mathematics
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Provide an appropriate response.Define f(0,0) in such a way that extends f(x, y) = 
to be continuous at the origin.
A. No definition makes f(x, y) continuous at the origin. B. f(0, 0) = 2 C. f(0, 0) = 1 D. f(0, 0) = 0
Mathematics
Perform the indicated operation. Assume that all variables represent nonnegative real numbers.
+ 7
+ 6
A. 13
B. 14
C. 54
D. 55
Mathematics
Simplify the factorial expression.
A. 
B. 
C. 2n - 1
D. 2n
Mathematics
Find the limit, if it exists.Find: 
A. 0 B. -1 C. 1 D. Does not exist
Mathematics