- Total number of questions: 85
- 20 questions carry one mark each
- 65 questions carry two marks each
- Negative marking: 1/4 of the marks allotted to the question
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Mechanical Engineering (ME) 2008
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In the Taylor series expansion of et about x = 2, the coefficient of (x−2)4 is
Given that ẋ + 3x = 0, and x(0) = 1, x(0) = 0, what is x(1)?
The value of lim x→8 (x2−2)/(x−8) is
A coin is tossed 4 times. What is the probability of getting heads exactly 3 times?
The matrix
has one eigenvalue equal to 3. The sum of the other two eigenvalues is
The divergence of the vector field (x−y)î + (y−x)ĵ + (x+y+z)k̂ is