c Chegg Stud I Guided S X WeBWorK 5nd X webwork 2450s014/HW6/8/? effect kgray& k

Question

c Chegg Stud I Guided S X WeBWorK 5nd X webwork 2450s014/HW6/8/? effect kgray& kgray&sh; OldA 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/hw6 8 MAIN MENU Courses Homework Sets HW6: Problem 8 HW6 Problem 8 Prev Up Next Password/Email Grades (1 pt) Find the volume of the solid that lies under the hyperbolic paraboloid z 3y2 z2 2 and above the rectangle 1 x Problems Answer: Problem 1 Problem 2 Problem 3 Preview Answers Submit Answers Problem 4 Problem 5 You have attempted this problem 0 times Problem 6 You have unlimited attempts remaining 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 12:30 PM 11/17/2015

Explanation / Answer

V = integral(x in [-1,1], y in [1,2]) 3y^2-x^2+2 dy dx

= integral(x in [-1,1]) y^3-yx^2+2y (for y in [1,2]) dx

= integral(x in [-1,1]) 7-x^2+2 dx

= 9x-(1/3)x^3 (for x in [-1,1])

= 18-2/3=52/3

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