University of Calicut Previous Years Question Paper & Answer

University : University of Calicut
Course : B.Sc

Semester : SEMESTER 2

Year : 2022

Term : APRIL

Branch : MATHEMATICS

Scheme : 2020 Full Time

Course Code : MTS 2B 02

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SECOND SEMESTER (CBCSS-UG) DEGREE EXAMINATION, APRIL 2022

Time :

Mathematics
MTS 2B 02—CALCULUS OF SINGLE VARIABLE—I
(2021 Admissions)
Two Hours and a Half Maximum Marks : 80

Section A

Answer at least ten questions.

Each question carries 3 marks.

All questions can be attended.
Overall Ceiling 30.

Let f(x) =sinx and g(x)=1- 2x. Find the functions gof and fog. What are their domains ?

2

. ഴ്‌ 2-3
Find lim ————.
2 23-3 x7 +4043

0 2770
1, 14005 | ift>0 Determine whether H is continuous from the right at 0 and/or from

the left at 0.

۰ : 2
Find the instantaneous rate of change of /(x) = 21 ‰ = 1.

Find the derivative of f(x) =3Vx +2e*.

7. Find the critical points of f(x) =x -—3x"°9.

8. State Mean value theorem.

10.

1.1.

2
Find lim ‏نے‎

‎X—‏ مہہ
1 ۰‫ . . 7
‎ind the horizontal and vertical asymptotes of f(x) निता `‏
1- 22 7
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