1. Evaluate 2. Evaluate [Jxy dx dy, where A is the domain bounded by the x-axis,...

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1. Evaluate 2. Evaluate [Jxy dx dy, where A is the domain bounded by the x-axis, ordinate x = 2a and R the curve x = 4ay. dx dy (1-x) (1 - y) [M.D.U., 2000] 3. Evaluate [feax+by dy dx, where R is the area of the triangle x = 0, y = 0, ax + by = 1 (a > 0, b> 0). 4. Prove that 21 00 00 13 1 1 5. Show that fdxf 0 6. Evaluate 00 12 (xy+ (xy + e") dy dx = ffy+e") dx dy. 31 1 1 -dy dy [dy) x-y (x + y) e(+)x dx dy 0 0 x- -y (x + y) -dx 1. Evaluate 2. Evaluate [Jxy dx dy, where A is the domain bounded by the x-axis, ordinate x = 2a and R the curve x = 4ay. dx dy (1-x) (1 - y) [M.D.U., 2000] 3. Evaluate [feax+by dy dx, where R is the area of the triangle x = 0, y = 0, ax + by = 1 (a > 0, b> 0). 4. Prove that 21 00 00 13 1 1 5. Show that fdxf 0 6. Evaluate 00 12 (xy+ (xy + e") dy dx = ffy+e") dx dy. 31 1 1 -dy dy [dy) x-y (x + y) e(+)x dx dy 0 0 x- -y (x + y) -dx

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