CHINHOYI UNIVERSITY OF TECHNOLOGY
SCHOOL OF NATURAL SCIENCES AND MATHEMATICS
CUPE 117
DEPARTMENT OF PRODUCTION ENGINEERING
ENGINEERING MATHEMATICS II
ASSIGNMENT JUNE 2021
Time : hours
A1.
(a) Compute
∞
X
3n+1
n=1
[5]
7n+1
(b) Use the Integral Test to determine whether or not
A2. Evaluate
lim
(x,y)→(0,0)
√
∞
X
ln n
converges.
2
n=1 n
[5]
xy
2x2 + y 2
A3. By reversing the order of integration, evaluate
[5]
Z 1Z 1
0
x2 sin(xy)dxdy.
[5]
y
A4. Find the √
volume of the solid that is bounded between the cones z =
and z = 9x2 + 9y 2 and the plane z = 3.
A5. Find the area of the portion of 2x + 4y + z = 0 inside x2 + y 2 = 1.
√
x2 + y 2
[10]
[10]
DUE 10 MAY 2021
END OF ASSIGNMENT
CHIMWANDA P. (THE TEACHER)
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