Exercises 61 and 62 are based on the following demand function for money (taken from a question on the GRE Economics Test): M d = ( 2 ) × ( y ) 0.6 × ( r ) − 0.3 × ( p ) , Where M d = demand for nominal money balances (money stock) y = real income r = an index of interest rates p = an index of prices. Money Stock If real income grows while the money stock and the interest rate remain constant, the price level must change at what rate?
Exercises 61 and 62 are based on the following demand function for money (taken from a question on the GRE Economics Test): M d = ( 2 ) × ( y ) 0.6 × ( r ) − 0.3 × ( p ) , Where M d = demand for nominal money balances (money stock) y = real income r = an index of interest rates p = an index of prices. Money Stock If real income grows while the money stock and the interest rate remain constant, the price level must change at what rate?
Solution Summary: The author calculates the rate at which the price level changes when the real income increases although the money stock and the interest rate remains fixed.
4. Use method of separation of variable to solve the following wave equation
მłu
J²u
subject to
u(0,t) =0, for t> 0,
u(л,t) = 0, for t> 0,
=
t> 0,
at²
ax²'
u(x, 0) = 0,
0.01 x,
ut(x, 0) =
Π
0.01 (π-x),
0
Solve the following heat equation by method of separation variables:
ди
=
at
subject to
u(0,t) =0, for
-16024
ძx2 •
t>0, 0 0,
ux (4,t) = 0, for
t> 0,
u(x, 0) =
(x-3,
\-1,
0 < x ≤2
2≤ x ≤ 4.
ex
5.
important aspects.
Graph f(x)=lnx. Be sure to make your graph big enough to easily read (use the space given.) Label all
6
33
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