Engineering Mathematics I Assignment PDF 2024-2025 - Babu Banarasi Das

Bachelor of Technology – First Year(All Branches) BABU BANARASI DAS NORTHERN INDIA INSTITUTE OF TECHNOLOGY Affiliated to Dr. A.P.J. Abdul Kalam Technical University (AKTU Code : 056) AKTU Code : 056...

Bachelor of Technology – First Year(All Branches) BABU BANARASI DAS NORTHERN INDIA INSTITUTE OF TECHNOLOGY Affiliated to Dr. A.P.J. Abdul Kalam Technical University (AKTU Code : 056) AKTU Code : 056 Approved by All India Council for Technical Education (AICTE) Sector II, Dr Akhilesh Das Nagar, Faizabad Road, Lucknow (UP) – India, 226028 Website : www.bbdniit.ac.in BTECH FIRST YEAR / FIRST SEMESTER / 2024-25 ASSIGNMENT NO. : A3 1. Name of Subject: Engineering Mathematics I 2. AKTU Subject Code: BAS 103 3. NBA Subject Code:C132 4. Unit Covered: 3 5. Date of Issue : 22/11/2024 Last Date of Submission:30/11/2024 Marks: 25 Q# Question Description CO BTL MM Expand f ( x, y)  e x log( 1  y) in powers of x and y up to term 1 3 K3 5 of third degree. In estimating the cost of a pile of bricks measured as 2m 15m 1.2m , the tape is stretched 1% beyond the standard 2 3 K3 5 length. If the count is 450 bricks to 1 cubic meter and bricks cost is 530 rs per 1000, find the approximate error in the cost. x y Show that u  , and v  tan 1 x  tan 1 y are not functionally 3 1  xy 3 5 K3 independent. Find the relation between them. If u, v, w are the roots of the cubic equation 4 (u, v, w) 3 K3 5 (  x)3  (  y)3  (  z )3  0 in  , then find.  ( x, y , z ) (a) Find the extreme value of the function u  x 3  y 2  3axy. 5 (b) Divide 24 in to three parts such that the continued product of the first, 3 K3 5 square of the second and cube of third may be maximum. Name of Faculty: BBDNIIT 2024-25(Odd Semester) Page1