For a closed economy – i.e. an economy in which there are no international transactions – GDP is $12 trillion, consumption is $7 trillion, taxes are $3 trillion, and the government runs a deficit of $1 trillion. (Assume transfer payments are zero.)
a) It follows that private saving is ________.
b) National saving is __________.
In: Economics
Prove that a subspace of R is compact if and only if it is closed and bounded.
In: Advanced Math
The clarinet is an instrument with a closed end at one end (by the reed) and an open end at the other.
(a) The clarinet has a length of 60 cm. What is the fundamental frequency of the clarinet if simply played as a tube like this?
(b) A clarinet has a register key which allows its third order harmonics to be played. What frequency sound would this produce? Sketch the pressure variations of the third order harmonic in the clarinet, indicating which end is the reed.
3. (c) A flute is about as long as a clarinet, yet a flute typically plays higher notes than the clarinet does. A flute is open at both ends. Explain why the pitch of the flute is typically higher than that of the clarinet.
In: Physics
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: Economics
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 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?
In: Physics
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
In: Physics
What would happen if the books were never closed?
In: Accounting