Q46Single correct2 Marks3 Sep 2023

A skier is on a mountain with equation z = 20 - 0.4x^2 - 0.3y^2 where z denotes the height. The skier is located at the point with xy-coordinates $(1, -1)$, and wants to ski downhill along the steepest possible path. In which direction should the skier begin skiing?

A

$(0.8, 0.6)$

B

$(-0.8, 0.6)$

C

$(-0.8, -0.6)$

D

$(0.8, -0.6)$