Roll No. EEEEEEEEEEE Total No. of Pages : 02
Total No. of Questions : 09
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BMCI (2014 & Onwards) (Sem.-2)
MATHEMATICS - 1I
Subject Code : BMCI-201
M.Code : 72462
Time : 3 Hrs. Max. Marks : 60
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INSTRUCTIONS TO CANDIDATES :
- SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks each.
- SECTION-B contains FIVE questions carrying FIVE marks each and students have to attempt any FOUR questions.
- SECTION-C contains THREE questions carrying TEN marks each and students have to attempt any TWO questions.
SECTION-A
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- Write briefly :
- 2x+3y={4 0} and 3x+2y={5 -1 21}, find x and y.
- If A= B= , show AB ? BA.
- Find M.D from median. 3, 9, 5, 3, 12, 10, 8, 4, 7, 19, 21.
- The Mean of numbers a, b, 8, 5, 10 is 6 and variance 6.8. Find value of a and b.
- Differentiate y = (x+1)/(x-1).
- Differentiate y = xx cos x.
- Integrate ?x tanx dx.
- Write the difference between simple interest and compound interest.
- Define annuity.
- Write co-factor of matrix | 4 -1 0 |.
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| -7 2 1 |
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SECTION-B
- Find inverse of matrix A=| 4 -1 0 |.
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| -7 2 1 | - Find standard deviation
| X | 0-5 | 5-10 | 10-15 | 15-20 | 20-25 | 25-30 | 30-35 | 35-40 | 40-45 |
|---|---|---|---|---|---|---|---|---|---|
| f | 20 | 24 | 32 | 28 | 20 | 16 | 34 | 10 | 16 |
- Differentiate (x + 1)4 (x + 2)4 (x + 7)4
- Integrate ? dx/(1+x2)
- Find two positive number x and y such that x + y = 60 and x*y3 is maximum.
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SECTION-C
-
- Solve following system of linear equations using Cramer's rule
2x+3y+3z=5
x-2y+z=-4
3x+y-2z=3 - Evaluate ? dx/(1+x2) using simpson 1/3 rule
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- Solve following system of linear equations using Cramer's rule
- Using concept of co-efficient of variation state which group is more variable A or B.
| X | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
|---|---|---|---|---|---|---|---|
| Group A | 9 | 17 | 32 | 33 | 40 | 10 | 9 |
| Group B | 10 | 20 | 30 | 25 | 43 | 15 | 7 |
-
- Differentiate y=(ex+sinx)/(1+logx)
- Calculate amount and compound interest on Rs. 3500 at 10% per annum in 2 years.
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NOTE : Disclosure of identity by writing mobile number or making passing request on any page of Answer sheet will lead to UMC case against the Student.
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