After a long and quiet journey through space, you finally arrive at your destination:
Planet Eem. You've been sent here to extract a rare mineral, M2Z2B1, which your government has identified as being located within the centre of a mountain on this planet.
As you approach, your ship maps the mountain, Mt Honesty, and provides height as a function of the distance away from the centre of the mountain. Taking the origin to be level with the base of the mountain and centred inside the mountain the height, m, can be described as:

m(x,y)=(x²+y²)xp (-(x²+y²)/4),-10 ≤ x ≤10,-10 ≤ y ≤ 10,

where x and y are the number of kilometres from the described origin.

1. Using the same coordinates, you land at (x,y)=(√3, √3) facing a direction parallel to the vector =[-3]
[ 4].
You remember from space training that your landing ramp can only operate on a surface that has a gradient less than 10%.
[Note: gradient here refers to the idea of percentage gradient, which calls an even rise over run as 100%. For our case, this just means whatever the slope is, multiply it by 100 to see what the percentage gradient is.]
(a) By finding the slope in the direction that your ship is facing, determine whether you can safely use your landing ramp.