10103 1
Reg. No.: Name:
APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

FIRST SEMESTER B.TECH DEGREE EXAMINATION, JUNE 2016
Course Code: ൩1൧101
Course Name: CALCULUS
Max. Marks: 100 Duration: 3 Hours

PART A
Answer ALL questions. Each question carries 3 marks

1. Evaluate ர்‌ sinh? (2x) dx

०0

1 -
—— converges or not.

2. Check whether the series 2
2k-1

k=1
3. Identify the quadric surface റെ + 32422 = 24
4. Convert ( 21/3 , 7/3 , 6) from cylindrical to spherical co-ordinates.
5. Find the rate of change of f(x,y)=xe”+ 5y with respect to x at the point (4,0)
with y held fixed.
6. If f(x,y) = x?y? + x*y. Find ಗೈ,
9 ۸
7. Evaluate || (൭ ക
8. Find “ if 2८८) = (311 + 5 ‏م - )0 6 + رة‎ 1+ 21] + (तो

١٢
9. Sketch the region of integration in | | (x? + y’ ( कर
0%

10.Evaluate 8 ழ்‌ [த രോമ) dx dy dz