Calc 3. Please help with number 11 and 12. Attached is an image. Thank you! 2) You, as the student, are required to work by yourself. All written work should be your own individual work and neithercopied nor paraphrased from other sources. After submitting your work, you are to refrain from discussing any portion of the examwith anyone. Consistent with the Rowan University Academic Integrity Policy, copying anyone elses work, allowing individuals tocopy your work, collaborating with another current/previous student, and, during an exam, using unauthorized materials and/orother resources is considered cheating.3)Please scan your work and upload as a single pdf file.1.Evaluate the double integral S So (3y + 1) dA where D is the region bounded by y = r² - 1 and y = I+ 1.2.Evaluate the integral LaI sin(y²) dy dr by reversing the order of integration.3.Evaluate o S I dy dr using polar coordinates.Use a double integral to find the volume of the solid in the first octant bounded above by the plane z = 8 - 2.r + 3y andbelow by the rectangle in the ry- plane : {(1, y) : 0 < r < 2, 0SyS1}.4.5.Evaluate f f" L** r dz dr dy.6.Evaluate fw (x² + y?) dV, where W is theregion bounded by r +ys9 and 0<:<5.7.Evaluate S Sw Vr² + y² + z?dV, where W is the solid given by + y+<4Find the center of mass of the region W that lies between the paraboloid 2 24 - - y and the cone z = 2/r² + y?and density 6(1,y, 2) = 5.8.9.Let F(r, y) = (1² + 2y, y² + 2r). Show thatis a conservative field and fiud its potential.10.Let f(r, y, 2) =1+ y+z and C be the curve given by c(t), sint, t) with2n. Find fe f(r, y, :)ds.ILet F(r, y) = (ry°, yr') and let C be the boundary of unit square: 0S S1. 0

Name: Calc 3. Please help with number 11 and 12. Attached is an image. Thank
Uploaded: 2024-03-05T11:53:49.000Z
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Description: Calc 3. Please help with number 11 and 12. Attached is an image. Thank you! 2) You, as the student, are required to work by yourself. All written work should be your own individual work and neithercopied nor paraphrased from other sources. After subm