Thinking Problem Set #1 1. Determine the slope of the tangent to f(x) = at x = 5. Use the original definition. [A: ] 2. a) Determine the slope of the tangent to the curve f(x) = vx at x = 4. Use the original definition. [A: -] b) Determine the equation of the tangent at x = 4. [A: ) = = x + 1] 3. Determine the points on the graph of f(x) = =x3 - 5x -= at which the tangent is horizontal. Use the alternate definition. [A: (2, -29). (-2,39). (1, -39). (-1,35)] 4. Isolate the following formula for r: A = 2mr2 + 2mrh for r when r > 0 [A: r = 24+wh2 2 [HINT: Use completing the square and assume that h is a constant and that r is the independent variable.]