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Questions

Let A be a closed subset of a T4 topological space. Show that A with the...

Let A be a closed subset of a
T4
topological space. Show that A with the
relative topology is a normal T1

In: Advanced Math

In this question, we assume the city of Oshawa is a closed economy and is in...

In this question, we assume the city of Oshawa is a closed economy and is in its long-run equilibrium. Recently, General Motors (GM) announced that the company will stick to its plan that they will close their automobile assembly plant in the city this year.

a) According to the long-run classical model, what happens to the equilibrium levels of output, real interest rate, and investment in Oshawa after the plant closure? What happens to the real wage in Oshawa? Explain your answer with the aid of TWO diagrams – one for the loanable funds market and one for the labour market.

b) In addition to the direct impact of the GM plant closure on the economy, many expect jobs that are related to the assembly plant will also be affected. As a result, the incentive to conduct business in Oshawa falls.

• Explain in words, what happens to autonomous investment?

• With the aid of the loanable fund market diagram drawn in part (a), explain the effect of the change in autonomous investment on the real interest rate.

Note: DO NOT draw a new diagram; if you do so, you will not receive any credit for this part of the question.

• As time passes (i.e., in the very long run which will be 10-15 years from now), what happens to the stocks of productive inputs in Oshawa? What happens to the level of employment in Oshawa? Explain in words only. (4 points)

In: Economics

If a set K that is a subset of the real numbers is closed and bounded,...

If a set K that is a subset of the real numbers is closed and bounded, then it is compact.

In: Advanced Math

A cereal box, in the shape of a rectangular prism and with a closed top, is...

A cereal box, in the shape of a rectangular prism and with a closed top, is to be
constructed so that the base is twice as long as it is wide. Its volume is to be 8000cm3。

Find the dimensions that will minimize the amount of cardboard required to make the box.

In: Math

Why are only odd harmonics allowed in a closed pipe?

Why are only odd harmonics allowed in a closed pipe?

In: Physics

In the circuit at right, switch S is closed, and is held that way for a...

In the circuit at right, switch S is closed, and is held that way for a very long time. The central branch of the circuit, having resistance R, has negligible self-inductance, but the branch of the right, having resistance 2R, has a non-negligible self-inductance L. If the switch is suddenly opened, what will be the voltage across the inductor at that instant? Express your answer as a fraction or multiple of ℰ, and make sure to explain which side of the inductor (top or bottom) is at higher poential.

https://drive.google.com/open?id=1BUQHfC24hwy810Vc2yNRgYmam6c6LMOn