MCV4U1 - Applications of Derivatives Assignment Due: TBD 1. Sketch f(x) = if (1'2 4)3 using the 7 step method discussed in class. 2. A mass (m = 200.0 g) attached to a Spring (k = 2250 N/m) on a smooth horizontal surface is stretched 10.0 cm from its equilibrium position and released. While undergoing simple harmonic motion, it experiences light damping that is proportional (r = 0.500 kg/s} to its velocity. a) Using Newton's 2'\"I Law, show that the differential equation that governs this system is it + E)? + max = 0 where _T' d2_k man wDm bl Find the period of oscillation c) Find the equations of motion for this mass-spring. Show that the functions satisfies the DE. d} Where is the mass moving fastest? What is its Speed there