Suppose you are climbing a hill whose shape is given by the equation z = 1300 − 0.005x2 − 0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (100, 120, 1106). the positive x-axis points east and the positive y-axis points north. (a) if you walk due south, will you start to ascend or descend? ascend descend

a) "ascend"

Step-by-step explanation:

a)

The equation is  

This question is asking for the value of the directional derivative in the direction of -j [since south that's y negative]

So, this is the negative of partial derivative of y. Thus we have:

Now we are at (100,120,1106), we take y value of 120 and put it in the partial:

We take the negative, that is -(-2.4) = 2.4

Since this is positive, we can say the hill is sloping upward at this point, so you will start to ascend.

80 the answer is 80

step-by-step explanation:

you have to put the graph on here with the question

step-by-step explanation: