Question: Two second year level calculus problem, thanks for helping. 1. (a) Find the volume of the region under the surfaoe z = 1.332 + H2
Two second year level calculus problem, thanks for helping.


1. (a) Find the volume of the region under the surfaoe z = 1.332 + H2 and above the disc of radius e :1 A={{vay] SHE =32 +1:2 5 '32}- (hr) Let D he the region in the rst quadrant of R2 that lies between the lines 3; = l, $=lendy=%1'. Evaluate I my dmdy. D {e} Sketch the region R od" integration for L; (L: m y) m- Change the order of integration and hence, assuming that the repeated integrals are equal, evaluate the integral. 2. (it) Find the volume of the domain in R3 which eonaiata of the points in R3 with coordinates (my, .3} satisfying the inequalities $2 + ye i: 32 and $2+y2+z2 22. (h) In IRE, let 1v he the triangle with eornera {D10}, [LU], [I], 1]. Evaluate the integral I41: +3!) :13 where (1:, y] are Cartesian eoordinatea in R2, and a in the arelength parameter
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