1322Midterm1ASolutuionS15 - MAT1322-3X Solution to Midterm...

MAT1322-3X Solution to Midterm 1 (A) Summer 2015
Solution to Midterm Examination 1 (version A)
MAT 1322-3X, Summer 2015
Total = 20 marks
1. (4 marks) Let R be the region above the graph of y = x
2
and under the graph of y = 3 x
is the solid obtained by revolving R about the y- axis . Find the volume of this solid.
– 2. S
2)
3
y .
is
1
2. (4 marks) A bucket with weight 20 kg is lifted from the ground to the top of a building 10
meters high with a rope that weighs 0.5 kg / m at a constant speed. Because the bucket is leaking,
when the bucket is at a height h meters from the ground, the weight of the bucket is
(20 – 0.5 h ) kg.