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Apply the Lagrangian formalism to obtain y(t) for the case of an object falling near the...

Apply the Lagrangian formalism to obtain y(t) for the case of an object falling near the surface of the earth under the influence of gravity alone.

Take the initial velocity to be downward with a speed of v0 and take the initial position to be y0. Let downward be the positive y-direction.

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Consider the following model: C=20+0.5(Y-T) I=20-10r T=0 G=50 QUESTIONS: a) Obtain the equation of the IS...
Consider the following model: C=20+0.5(Y-T) I=20-10r T=0 G=50 QUESTIONS: a) Obtain the equation of the IS curve. What is the slope of the curve? Calculate output if r=0.1 b) Suppose now that autonomous consumption increases to 30. What happens to the IS curve? Show your results in a graph. c) Suppose now that there is a change in marginal propensity to consumption so that now c1=0.6. What happens to the IS curve? Show your results in a graph.
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