Question

1. Let R be the rectangle in the xy-plane bounded by the lines x = 1,...

1. Let R be the rectangle in the xy-plane bounded by the lines x = 1, x = 4, y = −1, and y = 2. Evaluate Z Z R sin(πx + πy) dA.

2. Let T be the triangle with vertices (0, 0), (0, 2), and (1, 0). Evaluate the integral Z Z T xy^2 dA

ZZ means double integral. All x's are variables. Thank you!.

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