Answer:
It would roll in this direction.
Step-by-step explanation:
It would roll to the direction of maximum decrease, which is the -1 times the direction of maximum increase, which is given by the gradient of the function.
Since
For this case, the gradient of your function would be
And -1 times the gradient of your function would be
Then, at
So it would go towards
The magnitud of that vector is
and to conclude it would roll in this direction.
To be able to solve this question, we need to know about the Pythagorean theorem: a² + b² = c². A and b represents the two sides that make the right angle, and C represents the hypotenuse, or the longest side, of the triangle.
We know that the hypotenuse is the longest side of the triangle, so that means 9 is c. One side of the triangle is 6, and we have to solve for b. That means 6 is a. We can plug in our values to the formula like this:
Now that we have our equation down, we know what we have to do next: subtract 81 from 36 to get b².