A

Reg No.:_. Name:

Max. Marks: 100

01MAT101121903-B

Pages: 3

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

First Semester B.Tech Degree Regular and Supplementary Examination December 2020

(2019 Scheme)

Course Code: MAT101
Course Name: LINEAR ALGEBRA AND CALCULUS
(2019 Scheme)
PARTA
Answer all questions, each carries 3 marks.

1 2 ‏وہ‎ 3
Find the rank of the matrix 2 2 4 1
5 6 7 5

What type of conic section the following quadratic form represent?
0 = 17:८2 - 305, 52 + 1753 = 128

3 3 0
ലഹ്‌.

x-y 6> ர

dz
Ifz= 22% x= हैं, தன ‏تم‎ १०५ using chain rule.
t

Evaluate ടം dxdydz

000

Use double integrals to find the volume of the solid enclosed below the plane

2 = 4—x—vyand above the rectangle 7 = {(x,y); OX x= 1, 0 < + < 2],

k


Does the series ‏ود‎ converge? If so, find the sum.
k=l

2
க
Test the convergence of the series >
2
‏ہم‎ 2 - 1

1
Find the binomial series for f(x) = up to third degree term.
vi+x

Find the Maclaurin’s series for (४) = 08 up to third degree term.

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Duration: 3 Hours

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