Question

Date: 15/06/2020
Max Marks: 30
Time: 40 minutes(+5 minutes for uplo
Note:
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 find
degree.
(16
Short-Type Questions:
dx dy dz
1. Expand Cos 6 + h) by using Taylor's Theorem
(5
2. Prove that SSS = log 2 where V is bounded by x 20,7 2 0,2
(x+y+z+1)
x + y + z = 1
(5
Multiple-Choice Type Questions
5
16'
1. The Divergence of ū = (xyz)i + (3x2y)] + (xz2 – y22)k at point (2,-1,1) is:
(i) 15
(ii) 14
(iii) 12
(iv) 18
2. 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​

Answer 1

68755+3685687-234(696-496)÷3656-48858

25÷466×356655÷3686-569697

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