Chapter 1, Problem 5PS

(a)

To determine

To calculate: Slope of line joining $P\left(5,-12\right)$ and $O\left(0,0\right)$.

(b)

To determine

To calculate: Equation of tangent line to the circle $x^2+y^2=169$ at $P\left(5,-12\right)$.

(c)

To determine

To calculate: Slope $m_x$ of the line joining $P\left(5,-12\right)$ and $Q\left(x,y\right)$.

(d)

To determine

To calculate: The value of $\underset{x\to 5}{\lim }{m}_x$. How this number is related to the answer in part b).