Suppose your Space ship is flying along the curve y = 3 + (4/x) and you are trying to hit a target on the point (7,0).

a) From what point (x0) should you fire your missile if it has a path of a straight ling tangent to the curve?

(For Part a) do I simply use the derivative of y, which is y' = (-4/x^2) ? )

b) What is the equation of the line, the path of your missile?

(is this just the derivative of y, y' = (-4/x^2) ?)

Question

Suppose your Space ship is flying along the curve y = 3 + (4/x) and you are trying to hit a target on the point (7,0).

a) From what point (x>0) should you fire your missile if it has a path of a straight ling tangent to the curve?

(For Part a) do I simply use the derivative of y, which is y' = (-4/x^2) ? )

b) What is the equation of the line, the path of your missile?

(is this just the derivative of y, y' = (-4/x^2) ?)