batman1990
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- Apr 8, 2015
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PART 1 :Line Integrals
Evaluate the integral
[(4y + 5) dx + 2xz dy + (yz − x) dz] along the following paths C :
a) C is defined parametrically by x = 2t^2, y = 6t, z = t^3 from t = 0 to t = 1,
b)C consists of straight lines from (0, 0, 0) to (0, 1, 0), then to (0, 1, 1) and
then to (6, 1, 1).
c)C is given by the straight line joining (0, 0, 0) to (1, 2, 6)
PART 2 : Double Integrals
a)
, k=6 , Sketch the region of integration.
b)
c)Check your results using Maple or MATLAB
Evaluate the integral
[(4y + 5) dx + 2xz dy + (yz − x) dz] along the following paths C :
a) C is defined parametrically by x = 2t^2, y = 6t, z = t^3 from t = 0 to t = 1,
b)C consists of straight lines from (0, 0, 0) to (0, 1, 0), then to (0, 1, 1) and
then to (6, 1, 1).
c)C is given by the straight line joining (0, 0, 0) to (1, 2, 6)
PART 2 : Double Integrals
a)
, k=6 , Sketch the region of integration.b)
c)Check your results using Maple or MATLAB
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