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 washer method with 2 integrals or using the shell method with 1 integral.

Mathematics

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Solve the problem.The amount of a particular matter left in solution during a filtering process decreases by the equation  where n is the number of filtering steps. Find the amounts left for  and  (Round to the nearest whole number.)

A. 800, 3200 B. 800, 25 C. 1600, 200 D. 800, 200

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P(E) is the probability of an event E occurring, and O(E) is the odds of an event E occurring. Solve the following problem.If P(E)=, find O(E).

A. 2:3 B. 5:2 C. 2:5 D. 1:5

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Referring to triangle ABC, find the area of the triangle. ? ? Round to three significant digits. ?

A.
B.
C.
D.
E.

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Determine whether the improper integral is convergent or divergent, and calculate its value if it is convergent.

Mathematics