The first algorithm for Linear programming was given by a Bellman b Dantzig c

# The first algorithm for linear programming was given

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1.25 The first algorithm for Linear programming was given by a) Bellman b) Dantzig c) Kulm d) Von Neumann Ans: (b) 2. Write in your answer book at the space provided for Question 2 the correct or the most appropriate answers to ALL. The following twenty five multiple choice sub questions, by writing one or more of the alphabets A, B, C and D which correspond (s) to your choice of the answer (s). Write the alphabets only in the ANSWER column, against the corresponding NUMBER of the sub-question. 2.1 The eigenvalues of the matrix 5333are
IES-GATE ACADEMY GATE-1999-ME Best coaching for IES, GATE, PSU’s in Chennai & Coimbatore 9445017000, 90037370000 | 6 Ans : (a, d) Explanation:   2 2 5 3 A I = 3 3 5 3 9 15 5 3 9 2 24 0 6 4 0 6 4 or    2.2 The static moment of the area of a half circle of unit radius about y axis. 1xxydx is equal to 4 2 2.3 In a flow field is x, y plane, the variation of velocity with time t is given by v = (x2+ yt) and v= (x2+ y2) i. The acceleration of the particle in this field, occupying point (1, 1) at time t = 1 will be i
IES-GATE ACADEMY GATE-1999-ME Best coaching for IES, GATE, PSU’s in Chennai & Coimbatore 9445017000, 90037370000| a) 1.414 b) 1.5 c) 2.0 d) none of these Ans: (b) Explaantion: x2 2 = 0, 0100111.52fxxxfxf(x) = 2x f(x0) = 2x0 = 2(1) = 2. 2.6 Four arbitrary points (x1, y1), (x2, y2), (x3, y3), (x4, y4) are given in the x, y plane. Using the method of least squares, if, regressing y upon x gives the fitted line y = ax + b; and regressing y upon x gives the fitted line y = ax + b; and regressing x upon y gives the fitted line x = cy + d, then a) the two fitted lines must coincide b) the two fitted lines need not coincide c) it is possible that ac = 0 d) a must be 1Ans: (d) Explanation: y = ax+b……………(i)x = cy+d …………..(ii)From equation (ii), x d = cy or y = 1dxc……………….(iii) 7 2 2 1 2, 1 1 2 2 0 0 1 5 x u u x x t u y t y u u u u a u v w x y z t i i 2 2 2.4 d y dx + (x 2 + 4x) dy dx + y = x 8 8. The above equation is a a) Partial differential equation b) Non-linear differential equation c) Non-homogeneous differential equation d) Ordinary differential equation Ans : (d) 2.5 We wish to solve x22 = 0 by Newton Raphson technique. Let the initial guess b x0= 1.0. Subsequent estimate of x (i.e. x1) will be C
IES-GATE ACADEMY GATE-1999-ME Best coaching for IES, GATE, PSU’s in Chennai & Coimbatore 9445017000, 90037370000 | 8

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