BSc CSIT (TU) Science Mathematics I (BSc CSIT, MTH112) Question Paper 2079
This is the official BSc CSIT (TU) (Science stream) Mathematics I (BSc CSIT, MTH112) question paper for 2079, as set in the regular annual examination. It carries 60 full marks and a time allowance of 180 minutes, across 12 questions. On Kekkei you can attempt this Mathematics I (BSc CSIT, MTH112) past paper online with a timer, get instant AI feedback and step-by-step solutions, and track the topics where you lose marks — completely free. Whether you are revising for your BSc CSIT (TU) Mathematics I (BSc CSIT, MTH112) exam or solving previous years' question papers, this 2079 paper is a great way to practise under real exam conditions.
Section A: Long Answer Questions
Attempt any TWO questions.
State and prove the mean value theorem (Lagrange's). Verify it for (f(x) = \sqrt{x}) on [1,4].
Evaluate (\int \frac{dx}{(x^2 + a^2)^2}) using a suitable substitution.
Solve the differential equation (\frac{d^2y}{dx^2} + 4y = \cos 2x).
Section B: Short Answer Questions
Attempt any EIGHT questions.
Evaluate (\lim_{x \to 1}\frac{x^n - 1}{x - 1}).
If (y = e^{m\sin^{-1} x}), find (\frac{dy}{dx}).
Expand (\log(1 + x)) in a Maclaurin series.
Find the asymptotes of (y = \frac{2x^2 - 1}{x^2 - 4}).
Evaluate (\int \frac{1}{1 + \cos x},dx).
Solve ((1 + x^2)\frac{dy}{dx} + 2xy = 4x^2).
If (\vec{a} \times \vec{b} = \vec{0}) and (\vec{a}\cdot\vec{b} = 0), what can you say about (\vec{a}) and (\vec{b})?
Find (\frac{\partial u}{\partial x}) if (u = x^y).
Change the order of integration in (\int_0^1 \int_x^1 f(x,y),dy,dx).