If u=x2+y2 and x=s+3t,y=2s−t where t__ does not depend on s, then d2uds2 is
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a
12
b
32
c
10
d
0
answer is C.
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Detailed Solution
dxds=1, dyds=2 .......(1)d2xds2=0, d2yds2=0 .......(2)u=x2+y2duds=2xdxds+2ydydsd2uds2=2dxds2+2xd2xds2+2dyds2+2yd2yds2 From 1 and 2d2uds2=2×1+0+2×4+0=2+8=10