|
PES UNIVERSITY, BANGALORE-85
(Established under Karnataka Act 16 of 2013)
Model Question Paper for ISA-1
ENGINEERING MATHEMATICS-I
|
UE20MA101
|
|
Sub Code: UE20MA101
|
MA101 – CALCULUS(DIP)
|
Time: 3 Hrs Answer All Questions Max Marks: 60
|
|
1.
|
a)
|
Test for convergence of the series
|
6
|
|
b)
|
Find the nature of the series
|
7
|
|
2.
|
a)
|
Find the nature of the series
|
7
|
|
3.
|
a)
|
At a given instant the sides of a rectangular are 4 ft and 3 ft respectively and they are increasing at the rate of 1.5 ft/sec and 0.5 ft/sec respectively , find the rate at which the area is increasing at that instant.
|
4
|
|
b)
|
If , compute approximately.
|
6
|
|
4.
|
c)
|
If , then find the value of .
|
4
|
|
d)
|
A rectangular box open at the top is to have volume of 32 cubic ft. Find the dimensions of the box requiring least material for its construction.
|
6
|
|
5.
|
a)
|
Solve :
|
6
|
|
b)
|
Solve:
|
5
|
|
6.
|
a)
|
Find the orthogonal trajectories family of circles , where is the parameter.
|
5
|
|
b)
|
Solve:
|
4
|
|
