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Mathematics

The document outlines a test for various engineering streams at B.M.S. College of Engineering, detailing the subjects, test date, and structure. It includes a set of mathematical problems that students must solve, focusing on calculus and numerical methods. The course outcomes emphasize the application of these mathematical concepts in different engineering fields.

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RajaRajan
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54 views1 page

Mathematics

The document outlines a test for various engineering streams at B.M.S. College of Engineering, detailing the subjects, test date, and structure. It includes a set of mathematical problems that students must solve, focusing on calculus and numerical methods. The course outcomes emphasize the application of these mathematical concepts in different engineering fields.

Uploaded by

RajaRajan
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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B.M.S.

COLLEGE OF ENGINEERING, BENGALURU-19


Autonomous Institute, Affiliated to VTU
DEPARTMENT OF MATHEMATICS

1.Mathematical foundation for Computer Science Stream-2


Sem: Sub & 2. Mathematical foundation for Civil Enghçering 2 1. 22MA2BSMCS
2. 22MA2BSMCV
Sub
Branch: 3. Mathematical foundation for Electrical stream-2 3. 22MA2BSMES
4. Mathematical foundation for
Mechanical Engineering stream- 2 Code: 4. 22MA2BSMME

Time 9.00 AM TO
10.15 AM Test Date 07-07-2023 Max Marks: 40
Test Q.
No. No.
1.Questions from 1 to 5 are compulsory
2. Answer either Question 6a or 6 b. Marks CO

Evaluate ||xy dx dy, where Ris the domain bounded by


1 R x-axis, ordinate
x=2a and the curve x = 4ay. 6 1

Using T\n]=2|e*adr
2. 0
prove that
r[3]-va. Hence find the
value of 6

3
qva' Va'-y
-1
Test Evaluate xdxadyde. 7
1 2-x

4. Change the order of integration in = ydy ax and hence evaluate the


0
same.
7

5 dx
Show that
4 7 1
Find the area lying inside the circle
6a. r=asin and outside the cardioid
r=a(l-cos ). 2

OR
Using triple integrals, find the volume of the
6b. tetrahedron bounded by the plane
ab
=l and the co-ordinate planes.
7 2
Course Outcome:
CO I Apply the concepts of calculus and PO
numerical methods in solving problems.
CO2 Relate the importance of calculus and numerical methods in computer Science /Civil/
Mechanical Engineering. Electrical/

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