1. Find the slope and the equation of the tangent line to the curve y = x^2+1 at x = 0. Sketch the graph. Solution: Slope of tangent line: Equation of tangent line: 2. Find the equation of the normal to the curve y =1-x^3 at x = 1. Sketch the graph Solution: Slope of normal line: Equation of nomal line: 3. Find the equation of the tangent line to the curve y = 1- x^2 that is parallel to the line 2x-4y=8. Solution: Graph: 4. Show that there is no line tangent to the graph of y = x^2/3 at (0,0). Sketch the graph: Solution