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Date: 15/06/2020Max Marks: 30Time: 40 minutes(+5 minutes for uploNote:i.Attempt all the questions.iiWrite your Roll No, Course Title, Date of Exam on all pages of your Answer Script.Long-Type Question:1. Verify Euler's Theorem for the function u = (x+/2 + y4/2) (x" + y) and hence finddegree.(16Short-Type Questions:dx dy dz1. Expand Cos 6 + h) by using Taylor's Theorem(52. Prove that SSS = log 2 where V is bounded by x 20,7 2 0,2(x+y+z+1)x + y + z = 1(5Multiple-Choice Type Questions516'1. The Divergence of ū = (xyz)i + (3x2y)] + (xz2 – y22)k at point (2,-1,1) is:(i) 15(ii) 14(iii) 12(iv) 182. The critical point of the function (x2 – xy + y2 + 3x – 2y + 1) is:(i) (-4/3,-1/3) (i) (-4/3,1/3) (iii) (4/3,-1/3) (iv) none of these(2​

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