1: The algebraic equation y=3x+5is nonlinear. a. Explain why (briefly). b. How can you linearize the above nonlinear equations? Show the process. 2. Ch1: Tylor series tells us that every nonlinear function can be linearized if two conditions are satisfied simultaneously. List the two conditions (be brief and to the point). Condition-1: a) Condition-2: 3. Ch1: The voltage-current relation of a capacitor is ic=C(dvc/dt). Is this relation linear or nonlinear? Prove it mathematically in either case. Part II Problems: This part has only one problem. Problem 1: The following system has two pulleys that are welded together and represent a total inertia of I=0.2 kgm. The mass mydraws the system down, so the force fit is the driving force andx>0^0>0. Assume N R=0.5m, R=2m,m=4kg,^k=2 m Free-body diagram Equations of motion (In terms of *^ For Inertia, I For Mass m 1 R m (1)