Science:Math Exam Resources/Courses/MATH103/April 2005/Question 05 (c)
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Question 05 (c) 

Consider the curve given by for where are constants with and . Refer to parts (a) and (b) for the values of A (the area between the curve and the xaxis) and V (the volume obtained by rotating the curve about the xaxis). (c) Now consider the limit as B tends to infinity. For what range of values of the constant p is it true that the volume V has a finite limit while the area A becomes infinite? Explain your answer in terms of your calculations from parts (a) and (b) using one sentence. 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Science:Math Exam Resources/Courses/MATH103/April 2005/Question 05 (c)/Hint 1 
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Solution 

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Science:Math Exam Resources/Courses/MATH103/April 2005/Question 05 (c)/Solution 1 