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University of Barishal

Department of Computer Science and Engineering

2nd Mid Exam

Course Title: Differential Calculus and Co-ordinate Geometry (MATH-1109)

Semester: 1st | Session: 23-24

Time: 25 minutes | Marks: 25.00

Exam Date: August 4, 2025

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1.

1)

Evaluate the following limit.

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5 Marks
2)

Find an equation for the tangent line to the curve y = 2/x at the point (2,1).

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5 Marks
3)

Show that Mean Value Theorem holds for f(x) = x²

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4)

Show that Rolle's Theorem holds for f(x) = x²-4x+6.

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5 Marks
5)

Expand the following term using Leibniz's Theorem

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5 Marks
View 31 Topic-wise Questions for this Course

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Uploaded By: F.M.Mustakin Riaz Aug. 16, 2025, 3:26 p.m.
Converted By (Img/PDF to Text): Baishakhi Bir Dec. 30, 2025, 10:19 p.m.
Reviewed By: Obaydul Hasan Nayeem Jan. 1, 2026, 2:39 p.m.
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