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Please help me pass my delta math assignments

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Consider the following IS/LM model:

1. Find the equation of the IS curve of this economy (you must have Y on the left and
everything else on the right of the equation).
2. The central bank sets an interest rate of 10%. How does this decision translate into
in the equations defined above?
3. What is the level of money supply when the interest rate is 10%. Use
the real cash flow demand equation: (𝑀/𝑃)^𝑑 = 2𝑌 − 8000𝑖

4. Find the equilibrium values of C and I and check the result by calculating Y by summing
C, I and G with the values you get.
5. Assume that the central bank lowers its key rate to 10%. What
are the consequences of this decision on the LM curve? Find the balance for Y, I and C,
and explain in a written manner the effects of expansionary monetary policy. What
is the new equilibrium value of 𝑀/𝑃?
6. Let's return to the initial case where the interest rate set by the central bank is 5%.
Suppose that government spending increases so that 𝐺 = 400. Explain the
effects of an expansionary fiscal policy on Y, I and C. What is the effect of an expansionary fiscal policy
expansionary budget on the money supply?

Describe the differences between the wave forms resulting from a reflex stimulus with and without reinforcement. What can you hypothesize about the number of nerve fibers involved in a reinforced reflex as compared to one without reinforcement?

chemistry physics

Triaxial compression tests are a common laboratory

technique for determining elastic properties and

strengths of rocks at various pressures p and temperatures.

Figure 3.6 is a schematic of the experimental

method. A cylindrical rock specimen is

loaded axially by a compressive stress σ1. The sample

is also uniformly compressed laterally by stresses

σ2 = σ3 < σ1.

Show that

ε2 = ε3

and

σ1 − σ2 = 2G(ε1 − ε2).

Thus if the measured stress difference σ1−σ2 is plotted

against the measured strain difference ε1−ε2, the

slope of the line determines 2G.