HIRE QUALIFIED ACADEMIC WRITERS
Question 1Q1a. Find the positive constant A given that the volume of the solid bounded by the paraboloid,2 2 x y z A ? ? ?in the first octant is32? . (8 marks)Q1b. Use Green’s Theorem to evaluatesin5 5Cydx xdy ? ?around the boundary curveCof theregion R, where R is the triangle formed by the point (0, 0), (1, 1) and (1, 3). (7 marks)Question 2Q2a. For the vector fieldF i j k ? x y z y xy x xz , , 2 2 . ? ? ? ? ? ? ?(i) Show that? ?1.2? ? ?? F = F div (5 marks)(ii) Determine whether if the vector fieldFis conservative or not. (3 marks)Q2b. Find the work done by the force fieldF i j ? x y y x , 4 2 ? ? ?in moving a particle along acircle2 2x y ? ?1from (0, 1) to (1, 0).Attachments:UECM1713-UECM….pdf
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