Question: Please help! Suppose a bug is located on the hyperbolic paraboloid z = y2 x2 at the point [-2, 1). A). Use calculus to calculate
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Suppose a bug is located on the hyperbolic paraboloid z = y2 x2 at the point [-2, 1). A). Use calculus to calculate the slope of the bug's path the instant it travels from the point [-2, 1) toward the point [1, 3). B). Use calculus to calculate the direction of the maximum rate of increase from (-2, 1) to [1, 3). C). Calculate the maximum rate of increase from (-2, 1) to (1, 3). D) Determine whether a maximum, minimum, or saddle point occurs at the point [0, 0). [5 points each)
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