#1
1st December 2014, 09:31 AM
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UP PCS Exam Sample Paper of Maths
Will you provide me the Sample Paper of Mathematics of the UP PCS Exam ?
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#2
1st December 2014, 01:43 PM
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Re: UP PCS Exam Sample Paper of Maths
As you want I am here providing you the Sample Paper of Mathematics of the UP PCS Exam. Sample Questions : 1. (a) Define a function f of two real variables in the xy-plane by f (x, Check 1 X3 COS- + y 3 1 cos- y for x, y # 0 X2 +y2 0 , otherwise the continuity and differentia- bility of f at (0, 0). 12 (b) Let p and q be positive real numbers such that - 1 + - 1 = 1. Show that for real P numbers a, b 0 at' bq ab < + — — 12 P (c) Prove or disprove the following statement : 12 If B = (b1, b2, b3, b4, b5 } is a basis for 525 and V is a two-dimensional subspace of R5, then V has a basis made of just two members of B. (d) Let T: 1123 IR3 be the linear trans- formation defined by T(cc, I, y) = (cc + 213 - 3y, 2a +513-4y, a +4(3+ y) Find a basis and the dimension of the image of 7' and the kernel of T. 12 (a) Find the points of local extrema and saddle points of the function f of two variables defined by f (x, y) = x3 +y3 - 63(x + y) + 12xy Compute the volume of the solid enclosed between the surfaces x2 +y2 =9 and x2 +z2 =9. UP PSC exam Maths Paper Here is the attachment................. |