Q6 (a) A box with square base and height t is measured with the possible error of 0.04 cm. Calculate the maximum possible error for its volume if the length is 15 cm and the height is 8 cm. (5 marks) ( b ) Given the function f (x,y) = In (5x + 32), evaluate the approximate value and the exact value for f (7.9, 3.5). (5 marks) (c) Find the mass of lamina enclosed in polar coordinate R , where R common to circle r = 3 sin 0 and the cardioid r = 1 + sin 0, in the first quadrant. Sketch the region R. Given density function S(0, r) = =