Chapter 3.5, Problem 21E

Find an equation of the line tangent to the graph of y = exat x = 0.

A duck's flight is given by the following expression: y = x^2 + x + 4. X and y are coordinates of its flight. When x = 2, the duck takes a hit and thereafter its flight follows the trajectory of a tangent line. What is the coordinate when x=4.

Find the points on the curve r =1– sin0 where the tangent line is horizontal or vertical.