# Applied Calculus Sample Paper for Bachelor of Science (PCM) 1st Year

**SAMPLE PAPER FOR BACHELOR OF SCIENCE (PCM), YEAR –1**

**APPLIED CALCULUS**

**Time: 3 hours M.Marks:60**

Note: – Attempt any 5 questions.

All questions carry equal marks.

**Q.1** Define function and basic properties of limits.

**Q.2** Explain Leibnitz theorem.

**Q.3** Derive Maclaurin series of expansion.

**Q.4** Define Points of Inflexion with example also define multiple points.

**Q.5** Find the circumference of the circle x2 +Y2 =r 2 .2

**Q.6** Give geometrical meaning of a differential equation?

**Q.7** Write difference between linear and ordinary differential equations?

**Q.8** Write method of variation of parameters. ?

**Q.9** If f(X, Y) = X^{3} + Y^{3} – 3axy, find dy/dx.

NOTE: Above sample paper for Bachelor of Science (PCM) 1^{st} Year, Applied Calculus has been created after reviewing few universities question papers. We are not sure whether your university has same or similar question pattern. We always suggest you to go thoroughly with text books, teacher notes etc for better results.

We wish you best of luck for upcoming examinations.

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