You are standing above the point (5,4)(5,4) on the surface z=15−(x2+2y2)z=15−(x2+2y2). (a) In which direction should you walk to descend fastest? (Give your answer as a unit 2-vector.)

Explain how you can use the associative property to evaluate (7x50)x4.

What is always true about a positive integer raised to a negative odd power?

Igure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below: 4 quadrant coordinate grid showing two parallelograms. figure 1 has vertices at negative 5, 2 and negative 3, 4 and negative 4, 7 and negative 6, 5. figure 2 has vertices at 5, negative 2 and 7, negative 4 and 6, negative 7 and 4, negative 5. which two transformations can map figure 1 onto figure 2? reflection across the y-axis, followed by reflection across x-axis reflection across the x-axis, followed by reflection across y-axis reflection across the x-axis, followed by translation 10 units right reflection across the y-axis, followed by translation 5 units down