Calculus/Questions

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Question
Q 1       Find surface area of paraboloid S by revolving graph of y=x2 between x=0 and
              about y-axis.
Q 2      An oil container is built in the shape of a rectangular parallelopiped 5 ft deep, 7 ft
     
          wide and  10 ft long. If the container is filled to 1 ft below the top, how much work                               
           is required to pump all the oil  into a drain at the top of the  edge of the container.
Q 3  
(i)      Evaluate following limit using L'Hospital's Rule
          
 (ii)    Investigate the following integral whether it converges or diverges.  

Answer
1. You did not finsh with the limts...between x=0 and ???

2. There are various densities of oil...we need to know
-- the density of this oil!

3. What limit???  You did not give me the limit problem!

4. What integral???  You did not give me one!

Calculus

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Abe Mantell

Expertise

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience

Over 15 years teaching at the college level.

Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

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