Video game In the video game shown in the figure, an airplane flies from left to right alo...

Video game In the video game shown in the figure, an airplane flies from left to right along the path given by y =1 + (1/x) and shoots bullets in the tangent direction at creatures placed along the x-axis at x =1, 2, 3, 4.

From calculus, the slope of the tangent line to the path at P(1, 2) is m = −1and at  is .Determine

EXERCISE

whether a creature will be hit if bullets are shot when the airplane is at

(a) P

(b) Q