BSc CSIT (TU) Science Mathematics I (BSc CSIT, MTH112) Question Paper 2081
This is the official BSc CSIT (TU) (Science stream) Mathematics I (BSc CSIT, MTH112) question paper for 2081, 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 2081 paper is a great way to practise under real exam conditions.
Section A: Long Answer Questions
Attempt any TWO questions.
Define limit and continuity of a function. Evaluate (\lim_{x \to 0}\frac{\sin x}{x}) and discuss the continuity of (f(x) = \frac{\sin x}{x}) at x = 0.
State Leibnitz's theorem for the nth derivative of a product. If (y = x^2 e^x), find (y_n).
Find the area of the region bounded by the curve (y = x^2), the x-axis and the lines x = 1 and x = 3.
Section B: Short Answer Questions
Attempt any EIGHT questions.
Evaluate (\lim_{x \to 0}\frac{1 - \cos x}{x^2}).
If (y = \tan^{-1} x), find (\frac{dy}{dx}).
State and verify Rolle's theorem for (f(x) = x^2 - 5x + 6) on [2,3].
Find the equation of the tangent to the curve (y = x^2 + 2x) at the point (1,3).
Evaluate (\int \frac{dx}{x^2 + 6x + 13}).
Solve the differential equation (\frac{dy}{dx} = e^{x - y}).
Find the cross product of (\vec{a} = \hat{i} + 2\hat{j} + \hat{k}) and (\vec{b} = 2\hat{i} + \hat{j} - \hat{k}).
If (u = x^3 + y^3 + z^3 - 3xyz), find (\frac{\partial u}{\partial x}).
Evaluate (\int_0^2 \int_0^3 (x + 2y),dy,dx).