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Consider the surface S parametrized by :[0,1][0,1]R 3 , (s,t):=(e s ,e t ,e s +e t ), and let f:R 3 R be defined

Consider the surface S parametrized by :[0,1][0,1]R3 ,

(s,t):=(es,et,es+et), and let f:R3R be defined by

f(x,y,z):=3x+6y. (a) Compute /s /t

(b) Calculate the area of S.

(c) CalculatefdS

(d) What is the average value of f on S?

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