1: The algebraic equation y=3x+5is nonlinear. a. Explain why (briefly). b. How can you linearize the...

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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 kgm². The mass mydraws the system down, so the force fit is the driving force andx>0^0>0. Assume N R₁=0.5m, R₂=2m,m₁=4kg,^k=2 m Free-body diagram Equations of motion (In terms of *^θε For Inertia, I For Mass m₂ 1₂ R₂ m₁ (1) 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 kgm². The mass mydraws the system down, so the force fit is the driving force andx>0^0>0. Assume N R₁=0.5m, R₂=2m,m₁=4kg,^k=2 m Free-body diagram Equations of motion (In terms of *^θε For Inertia, I For Mass m₂ 1₂ R₂ m₁ (1)

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1a The algebraic equation y3x5 is linear Explanation A linear equation is one that can be expressed ... View the full answer