Question

airplanes fly from left to right along the path y=1+(1/x)and can shoot their bullets in the tangent direction at creatures placed along the x-axis at x=1,2,3,4 and 5.determine whether a creature will be hit if the player shoots when the plane is at p(1,2)

Answer 1

dy/dx = slope = -1/x^2

at (1,2)
y = 2 and slope = -1
where does that hit the x axis
at x = 2 it is at y = 2-1 = 1
at x = 3 it is at y = 1-1 = 0
so it hits anything at (3,0)