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- The question is Romeona and Julieton are planning to elope. Julieton must first rescue Romeona from her castle, as her father has locked her in her room. The young man has placed a 20 foot ladder against Romeona's bedroom window and is knocking on the window when Romeona's father discovers the plot and begins pulling the base of the ladder away from the castle at a rate of 3 feet per second. The part about how far is the base is part 1 and the part about how fast Julieton is falling is part 2Suppose you are climbing a hill whose shape is given by the equationz= 1000−0.01x2−0.02y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (50, 80, 847). The positive x-axis points east and the positive y-axis points north. (a) If you walk northwest, will you start to ascend or descend? At what rate? (b) In what direction is the slope largest? Why?Plz ans as soon as possible don’t provide any explanation