Deltoid Problem: The graph shown in Figure 4-7i is called a deltoid. The parametric

Chapter 4, Problem 9

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Deltoid Problem: The graph shown in Figure 4-7i is called a deltoid. The parametric function of this deltoid is x = 2 cos t + cos 2t y = 2 sin t sin 2t Figure 4-7i a. Confirm by grapher that these equations give the deltoid in Figure 4-7i. b. Find an equation for dy/dx in terms of t. c. Show that at two of the cusps, the tangent line is neither horizontal nor vertical, yet the derivative dy/dx fails to exist. Find the limitof dy/dx as t approaches the value at thecusp in Quadrant II.

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