Suppose you are climbing a hill whose shape is given by the equation z = 1000 - 0.005x2 - 0.01y2, where x, y and z are measured in meters, and you are standing at point with coordinates (60, 40, 966). the positive x-axis points east and the positive y-axis points north. if you walk due south, will you start to ascend or descend? at what rate? if you walk northwest, will you start to ascend or descend? at what rate? in which direction is the slope largest? what is the rate of ascent in that direction? at what angle above the horizontal does the path in that direction begin?

-14

step-by-step explanation:

2x2 – 2(x+4)

=2x2-2（5+4）

=4-2×9

=4-18

=-14

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: