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a. (17 points) Let f(x, y) = xexy - 4√x² + y². Evaluate a af and 8²f 𐐀х𐐀у b. (20 points) Let f(x, y) = x³y² - 12x + 4y +
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a. (17 points) Let f(x, y) = xexy - 4√x² + y². Evaluate a af and 8²f 𐐀х𐐀у b. (20 points) Let f(x, y) = x³y² - 12x + 4y +
a. (17 points) Let f(x, y) = xexy - 4√x² + y². Evaluate a af and 8²f 𐐀х𐐀у b. (20 points) Let f(x, y) = x³y² - 12x + 4y + 2. Use the First Derivative Test to find the (x, y) coordinates of all the points at which the function possibly has a relative maximum or a relative minimum. Then use the formula D(x, y) = (3) (03) - (27) to determine whether those points are the locations of the relative maximums, relative minimums, saddle points, or "undetermined" by the Derivative Test.