akers3 - Math 22 Exam 3C Akers FS 00 1(10 pts Evaluate the...

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Math 22 Exam 3C Akers — FS 00 1. (10 pts) Evaluate the double integral, 1 00 () x y xx dydx + ∫∫ 2. (15 pts) A lamina occupies the first quadrant region inside the circle 22 4 x yx += and outside the circle 4. xy If the density at any point (x,y) is (, )3 r = , find the mass of the lamina . 3. (10 pts) Setup, DON’T EVALUATE , a multiple integral to find the surface area of 4 zxy =++ that lies above the region in the x-y plane bounded by 0, , y == and 2 =- . 4. (10 pts) Setup, DON’T EVALUATE, the triple integral to find the mass of the solid bounded by 6 32 z =-- , 0 , 0, zx 0 y = if 2 (,,) z r = . 5. (10 pts) Setup, , the triple integral to evaluate the volume of the solid bounded by
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