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81۸2155 (2015 Admission) Total No. of pages: 3

line to the surface z= ಉಲಿ) + ‏برج‎ - 2 at the point P (1, -2, 10).
Find the directional derivative of (=x ‏ج + تو بر-برۃ‎ at (1,-2,0) in the direction
of 8327473428
(Answer any 2 questions each question carries 7 marks)

Evaluate 0 ydA where R is the region in the first quadrant enclosed between the
R

circle x? + y? = 25406 the line xty=5
2

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Change the order of integration and evaluate | | ‏لام تر‎

ly
Find the volume bounded by the cylinder x? ‏تود‎ = 4 the planes

y+z=3andz=0.

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REFERENCE

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