A 8142155 (2015 Admission)

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FIRST SEMESTER B.TECH DEGREE EXAMINATION, DECEMBER 2016
(2015 ADMISSION)

Course Code: MA 101
Course Name: CALCULUS
Max. Marks: 100 Duration: 3 Hours
PART A
(Answer all questions. Each question carries 3 marks)

] Find the derivative of y = (1+ x cosh ஐ)”
2

a ೫ ನಿ?
2 7
est the convergence of x ۳ 7 5

n=]

3 Classify the surface 4x7 +4y? +27 +8y-4z=4

4 Convert the rectangular co-ordinate into spherical co-ordinate of (2, 2/3, -4 )
622 Oz

5 Prove that ‏ےھ‎ = ठः Where f= xy.

6 Find the velocity, acceleration and speed of a particle moving along the curve

x=14+3t, + = 3-4, z=1+3t at=2

62 2
‏برع‎ 6:10 By

Given 25९२, x=2u+v, ‏ہی گے‎
7 ೫5 Find
8 Find the unit tangent vector and unit normal vector to the curve
x=e'cost, y= e'sint,z= e'att=0.

3५
9 Evaluate | [2 ydxdy

0 0

x2

Find the area of the region R enclosed between the parabola ‏نز‎ = > and the

line y = 2x

(10*3=30 Marks)

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