1322FinalSolutionS14 - MAT1322-3X Solution to Final...

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MAT1322-3X Solution to Final Examination Summer 2014 1 Solution to the Final Examination MAT1322-3X, Summer 2014 Part I. Multiple-choice Questions (3 ×10 = 30 marks) 1. The area of the region under the graph of y= 2101xx, and above the line y= xis (A) 5 ln 10 + 92; (B) 5 ln 10 - 92; (C) 10 ln 3 + (D) 10 ln 3 - 92; (E) 3 ln 10 + 92; (F) 5 ln 3 - Solution. (B) Let 2101xx= x. Then x= 0 or x= 3. The area is 33310220001101019955ln101122xxx dxdxxdxduxxu-=-=-=-++.
92;
92.
2. Let Rbe the region in x-yplane above the parabola y= x2and under the line y= 2x. Let a solid obtained by revolving region Rabout the y-axis. Then the volume of Sbe Sis
83π.
y= 0, 4.
=
,
.
MAT1322-3X Solution to Final Examination Summer 2014 2
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