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| Roll No. | Total No. of Pages : 02 | Total No. of Questions : 07 |
B.Tech. Ind. Engg. & Mgt. (Spl. in TQM) (Sem.-1)
APPLIED MATHEMATICS
Subject Code : IEM-104
M.Code : 61004
Time : 3 Hrs.
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Max. Marks : 40
INSTRUCTIONS TO CANDIDATES :
- Attempt Any EIGHT questions from SECTION-A carrying TWO marks each.
- Attempt any FOUR questions out of SIX questions from SECTION-B carrying SIX marks each.
SECTION-A
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- Answer briefly :
- If 10x = 3 find the value of x.
- Find sin75°, if sin 45° = and sin30°
- Find the coordinates of the point which divides the join of points (1, 2) and (3, 5) in ratio 1:2 internally.
- Find the value of the determinant
2 -2 -3 -1 4 2 -1 -6 -2 - Find the angle between the vectors v = i - j + k and w = - i + 2k.
- Find dy/dx, if y = (x² + 1)e2x.
- Evaluate the integral ? exx dx.
- Solve the differential equation dy/dx = x³ey.
- Expand (x²+2a) using Binomial Theorem.
- Write down the Polar equivalent of 1–i.
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SECTION-B
- Prove that : sin? sin(60° – ?) sin(60° + ?) = (1/4) sin 3?.
- Find the length of major and minor axis, coordinate of the vertices and the foci, eccentricity and length of latus rectum of the ellipse : y² + 36x² = 36.
- The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs. 60. The cost of 2 kg onion, 4 kg wheat and 6 kg rice is Rs. 90. The cost 6 kg onion, 2 kg wheat and 3 kg rice is Rs. 70. Find the cost of each item by matrix or determinant method.
- A circular disc of radius 4 cm is being heated. Due to thermal expansion, its area increases at a rate of 12p cm²/s. Find the rate at which radius is increasing.
- Find the value of integral ? (x²+3x+2)/(2x) dx.
- Find the area of the region bounded by the curve y = x² and the lines x = 1, x = 4 and x - axis.
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NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any page of Answer Sheet will lead to UMC against the Student.
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This download link is referred from the post: PTU B.Tech 2nd Semester Last 10 Years 2009-2019 Previous Question Papers|| Punjab Technical University
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