Cubic Circle Problem: Figure 4-8f shows the cubic circle x3 + y3 = 64 Figure 4-8f a

Chapter 4, Problem 27

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Cubic Circle Problem: Figure 4-8f shows the cubic circle x3 + y3 = 64 Figure 4-8f a. Find dy/dx at the points where x = 0, x = 2, and x = 4. Show that your answers are consistent with the graph. b. Find dy/dx at the point where y = x. c. Find the limit of dy/dx as x approaches infinity. d. Why do you suppose this graph is called a cubic circle?

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