A particle travels along a curve y = f (x) as in Figure 15. Let L(t) be the particles
Chapter 3, Problem 35(choose chapter or problem)
A particle travels along a curve y = f (x) as in Figure 15. Let L(t) be the particles distance from the origin. (a) Show that dL dt = x + f (x)f (x) x2 + f (x)2 dx dt if the particles location at time t is P = (x, f (x)). (b) Calculate L (t) when x = 1 and x = 2 if f (x) = 3x2 8x + 9 and dx/dt = 4. x y y = f(x) O P 1 2 2
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