Problem 1 Below is part of the graph of 5x3y - 3xy2 +y3 = 6. Verify that (1,2) is a point on this curve. There's a nearby point on the curve whose coordinates are (1.07, u). What is an approximate value for u? There's a nearby point on the curve whose coordinates are (.98, v). What is an approximate value for v? There's a nearby point on the curve whose coordinates are (w, 2.04). What is an approximate value for w? Is the graph consistent with your answers? Hint Compute a derivative and use linear approximation.
