b. The triple integral in cartesian coordinates is given by V=∫01∫01−y2∫04−x2−y2zdzdxdy. (i) Find the exact values
Posted: Wed Jul 13, 2022 5:08 am
b. The triple integral in cartesian coordinates is given by V=∫01∫01−y2∫04−x2−y2zdzdxdy. (i) Find the exact values of a,b and the function f(r) if the triple integral V is converted to cylindrical coordinates as given below ∫0a∫0b∫0f(r)rzdzdrdθ [6 marks] (ii) By using the result from b(i), evaluate the triple integral V in cylindrical coordinates form. Give your answer in terms of π.