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D 31818 (Pages : 3) फिज्ला16.....५०५०००००००००००००००«००«०००००००००००००००

THIRD SEMESTER (CBCSS-UG) DEGREE EXAMINATION, NOVEMBER 2022
Mathematics
MTS 3B 03—CALCULUS OF SINGLE VARIABLE - 2
(2019 Admission Onwards)
Time : Two Hours and a Half Maximum : 80 Marks
Section A

Answer any number of questions from this section.
Each question carries 2 marks.
Maximum marks : 25.

1. Find the derivative of log ix? 41. +1.
2. Find the derivative of tan=! /2x+3

li log x
3. Evaluate 4m 5 ~
ம X

4. Let f(x)=e* +x. (a) find the derivative off ; (b) find an equation to the tangent line to the graph
of f (x) at x = 0.

5. Evaluate J e “dx.
5

n

‎converges or diverges.‏ ا

‎6. Determine whether ۱
7+1

‎7-1
‏1۔۱, ثت‎
7. Determine whether the series 2 3 (=) converges or diverges. If it converges, find the sum.

‎n=1

‎8. What is an alternating series ? Give an example.

‎9. Define a power series. Give an example.

‎Turn over

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