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# MTH301 Mid Term Papers Fall 2010 (01~12 Dec 2010) All in One Discussion

MTH301 Mid Term Papers Fall 2010 (01~12 Dec 2010) All in One Discussion

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MTH301 Mid Term paper Fall 2010
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today 10-12-2010 MTH301 Mid Term Paper Fall 2010

Q :     suppose that the surface f(x,y,z) has continuous partial derivatives at the point (a,b,c)

write down the equation of tangent plane at this point.                                 2 Number

Q:      Evaluate the following double integral                                                          2 Number

﻿﻿﻿[[(12xy^2 - 8x^3)dydx    [[ =  integral sign

Q:      Evaluate the following double integral                                                          3 Number

[[ (3+2x-3y^2) dxdy

Q:      Let f(x,y,z) = xy^2e^x

find gradient of f                                                                                       3 Number

Q:      Find all the critical points of the function

f(x,y) = 4xy - x^3-2y^2                                                                               5 Number

Q:       Double integral in rectangular co-ordinates to couple area of region doubled by the

curves  y = x^2 and y = x + 2

JazakAllah

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