c Calculus question I Chegg X A 5nd X 30 webwork.math.ttu.edu/webwork2/f15ndesil

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c Calculus question I Chegg X A 5nd X 30 webwork.math.ttu.edu/webwork2/f15ndesilvam2450s014/Hw7/6/?user- kgray&effect; markgray&key; N3dzIVHo9l' v c a, search d T B rd (A Texas T Week at a Glance Most kb Cengage Brain WeBWork MATHEMATICAL ASSOCIATION OF AMERICA webwork f15ndesilvam2450s014 hw7 6 MAIN MENU Courses Homework Sets HW7: Problem 6 HW7 Problem 6 Prev Up Next Password/Email Grades (2 pts) Find the surface area of the part of the plane 5a y z 3 that lies inside the cylinder z y2 -1 Problems Surface Area Problem 1 Problem 2 Problem 3 Preview Answers Submit Answers Problem 4 You have attempted this problem 0 times Problem 5 You have unlimited attempts remaining Problem 6 Problem 7 Problem 8 Email instructor Problem 9 Problem 10 9 o 2 2 1 2 0 2 9 1 0 3 3 AM DAD CA M Logged in as markgray Log Out 12:51 PM 11/17/2015

Explanation / Answer

5x + y +z = 3 ; x2 +y2 = 1

==> z = 3 -5x -y

z/x = -5 ; z/y = -1

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

= [1 + 25 +1] = 27

= 33

Hence surface area A = [0 to 2] [0 to 1] 33 rdrd

==> A = [0 to 2] [0 to 1] 33 r2/2 d

==> A = (33/2) [0 to 2] d

==> A = (33/2) [0 to 2]

==> A = (33/2) (2)

==> A = 33

==> A = 16.324 square units

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