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4 S Sun 1:03 PM Safari File Ed View History Bookmarks Window Help WeBWork Fall201617-Math244-Bracey LaTech Stewart Ch16S7 3 https webwork latech. Reade ed Math 244-Bracey/LaTe 3/? user tbs012&key; BX9YCAkUeclsHuor7azp5 YyYRPCcnzBx&effectiveUser; tbs012 Stewart moodle YouTube Facebook reddit Twitter Tech email News Popular m Raoult's law T Fwd: PChem Te T+ Timr Chegg Study Calculus questi Horde Log in WeBWork Fall Calculus questi Google webwork fall201617-math244-bracey latech stewart ch16s7 3 ENU rk Sets LaTech Stewart e Ch16S7: Problem 3 Stewart blem 3 Previous Problem List Next (1 point Evaluate the surface integral. ents 7xdS Problems Where S is the triangular region with verticies: (2,0,0), (0, -2,0), (0,0, -5) 7sqrt3 (8/3)+4) Preview My Answers Submit Answers You have attempted this problem 4 times. Your overall recorded score is 0%. You have unlimited attempts remaining. Email instructor

Explanation / Answer

equation of plane joining (2,0,0),(0,-2,0),(0,0,-5) is

(x/2)+(-y/2)+(-z/5)=1

(z/5)=(x/2)-(y/2) -1

z=(5/2)x-(5/2)y -5

zx=(5/2),zy=-(5/2),

dS=[1+zx2+zy2] dA

dS=[1+(5/2)2+(-5/2)2] dA

dS=[(54/4)] dA

dS=(27/2) dA

intervals are

0<=y <= x-2, 0<=x<=2

I=7x dS

I=[0 to 2][0 to x-2] 7x(27/2) dy dx

I=[0 to 2][0 to x-2] 7x(27/2) y dx

I=[0 to 2] 7x(27/2) (x-2-0) dx

I=[0 to 2] 7(27/2) (x2-2x) dx

I=[0 to 2] 7(27/2) ((1/3)x3-x2)

I= 7(27/2) [((1/3)23-22) -((1/3)03-02) ]

I= 7(27/2) [((8/3)-4) -0 ]

I= 7(27/2) (-4/3)

I= -(1454)/3

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