Step 1 Let D be the distance between the origin and a moving point on the graph of y = sin 3x. D = Step 3 Step 2 Substitute y sin 3x in the formula for distance. x² + 1 D = D = Differentiate D = dD dt = = = = x² + = x² sin²3x d (x² +sin² 3x)1/2 + y² x2 + sin23x with respect to t and simplify. √x² + sin² 3x (x² + sin² 3x)-¹/2 (x² + sin² 3x) dt (sin (3x))² (x²+ sin ²3x)-1/²(2 2x + 2 sin 3x x + 3sin 3x cos 3x (x² + sin² 3x)-1/2(x + 3sin 3x cos 3x)- dx dt Submit Skip (you cannot come back) 1/2 dx dt X dx dt

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