Gujarat University B.Sc Applied Mathematics Paper 2012 Gujarat University Exam 2012 Test Question Paper Free Download Gujarat University Question Papers 2012 Gujarat University B.Sc Applied Mathematics Question Paper 2012 for all students Previous Year old Past Papers of Gujarat University B.Sc Applied Mathematics Paper 2012 Gujarat University Exam B.Sc Applied Mathematics Sample Model Question Papers Free Download PDF

**Applied Mathematics**

(a) Explain Homogeneous functions. State and prove Euler’s theorem on homogeneous functions.

(a) Define Increasing and decreasing functions. Give one example of each function.

(b) Attempt any two :

(a) A line makes angles x, f3, y and with the cliagoiials 5 of a cube. Prove that cos2 a + cos2 + cos2 y + cos2 ö = 4/.

(b) Attempt any three from the following 9

(1) Define cross product of two vectors. Explain

properties of it.

(2) Constant forces P = 2 1— 5j+6 k and Q = — 1+ 2j— k, acting on a particle. Determine the work clone when the particle is displaced from A to B The position vectors of A and B being 4 2— 3]— 2 k and 61+j-3k.

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Gujarat University B.Sc Applied Mathematics Question Paper 2012 1st year

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