00:01
Now in this question, suppose you're climbing here, right? hose shape is given by, according to the question, z170 minus 0 .005, x squared minus 0 .01, y squared, right? and now where you are then is here, 6t with coordinates 60, 4t, 1 ,66666, right? and the positive x, is east and positive wax is north, right? and normally.
00:35
And then the first questions, basically you ask it, what is that? at what rate? at what rates? they say at what rate, what? if you walk to the east, well, the rate is basically, what you need to calculate the gradient function, right? let me, which is a function for x to y, of course.
01:04
It has two components.
01:06
You just take the partial z over x that gives you minus 0 upon 0 ,0 ,0 .1, x, and take partial to the rate with respect to y, you get minus 0 upon 0 to 0 to y, right? so that is the rate, right? so this is the rate, basically.
01:21
And b, in which direction is the slope largest? well, so suppose the direction, you know, suppose direction, let me write a direction as, let's say, sine alpha...