Question

A lamina occupies the rectangular region D with four corners at (0, 0), (1, 0), (1, 1) and (0, 1). The density p(x,y) is given by the absolute value of y – x2, i.e. P(x, y) = \y – x?). Obtain an expression for the mass of the lamina in terms of iterated integrals. Provide explicit bounds for the integrals (you do not need to evaluate the integrals). (Hint: Divide the region D into D, and D2 by cutting D along the parabola y = xº.)

Answer 1

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