| AMA-101 Mathematics-1 (B.Tech 1st Semester, 2122) Time : 3 Hours Maximum Marks : 60 NOTE:- Attempt five questions in all. Question No.1 is compulsory. Attemp two questions from each section. 1 (a) If z = u2 + v2 and u = at2 , v = 2at, find dz/dt. (b) Expand sin x in powers of x. (c) prove that |
| MATHEMATICS-1 |
| PAPER NO.1 |
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| PUT ON 6th jan.,2k3 |
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| Where S is the length of arc measured from some fixed point and p is the radius of curvature. (d) Change the order of integration in |
| (e) Find the centre of pressure of a triangular area immersed in a homogeneus liquid with one side in the free surface. (f) Show that : |
| (g) Find the value of Log (i)i. (h) Find the general equation of cone which touches the three co-ordinates planes. (i) The order of convergence of Newton-Raphson method is: (i) 1.168 (ii) 1 (iii) 2 (iv) 3 (j) Apply Gass-Jordan method to solve : x + y + z = 9 2x - 3y + 4y = 13 Section - A 2. (a) The period of a simple pendulum with small oscllation is |
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| If T is computed using l = 8 ft, and g = 32 ft./sec2, find the % error in T if the true values are l = 8.05 ft. and g = 32.01 ft/sec2. What is approximate error in T? (b) |