In order to find the area of an ellipse, we may make use of the idea of transformations and our knowledge of the area of a circle. For example, consider R, the region bounded by the (x-4) (y-3)² ellipse 16 = 1. 25 The easiest transformation to choose makes u = Preview and v = Preview which should be easily inverted to obtain Preview x= and y == Preview d(x, y) leading to a Jacobian of· (u, v) Preview And since S = (x, y) A dudu where the transformed (u, v) region S is bounded by x² + y² = 1, we calculate the area by multiplying the area and the Jacobian, arriving at Give an exact answer. Points possible: 1 This is attempt 1 of 3. Preview License