Prove that if a chessboard C has two disjoint subboards C1 and C2, then r(C,)(C1,) R(C2,...
Let R be the region shown above bounded by the curve C = C1[C2.
C1 is a semicircle with center
at the origin O and radius 9
5 . C2 is part of an ellipse with center at (4; 0), horizontal
semi-axis
a = 5 and vertical semi-axis b = 3.
Thanks a lot for your help:)
1. Let R be the region shown above bounded by the curve C - C1 UC2. C1 is a semicircle with centre at...
If C1 and C2 are subsets of the same sample space C, show that P(C1 inersection C2)<=P(C1)<=P(C1 U C2)<=P(C1) + P(C2)
The consumer's problem is max u(C1, C2) s.t. C1 +5 < y1 C2 < y2 + (1+r)s C1 > 0, c220 Characterize the solution
Two capacitors, C1 = 19.0 μF and C2 = 38.0 μF, are connected in series, and a 21.0-V battery is connected across them. (a) Find the equivalent capacitance, and the energy contained in this equivalent capacitor. equivalent capacitance μF total energy stored J (b) Find the energy stored in each individual capacitor. energy stored in C1 J energy stored in C2 J Show that the sum of these two energies is the same as the energy found in part (a)....
2) In the following circuit R = 6 ohms, C1 = 6
micro-farads, and C2 = 10 micro-farads. After some time
with the battery connected, the current through the battery is 6
amps. At that time, the battery is removed (but the circuit is
closed). The stored energy in C1, 70.2 micro-seconds
after the battery has been removed is 110 micro-joules. What was
the value of the battery in volts?
C1 C2
Consider a two-period model with a representative consumer whose Euler equation is: 1/c1 =E1β(1+r)(1/c2) where ri is the return on any asset, Let β = 0.9. Suppose that c1 = 1 and how much of c2 you get depends on the state of the economy, as follows: Good state with Probability = 0.5 Bad state with Probability = 0.5 a) Find the price q and the return r on an asset which pays c2 = 2 in good state and...
Two air-filled parallel-plate capacitors with capacitances C1 and C2 are connected in series to a battery that has voltage V; C1 = 3.00 μF and C2 = 6.00 μF. The electric field between the plates of capacitor C2 is E02. While the two capacitors remain connected to the battery, a dielectric with dielectric constant K = 4 is inserted between the plates of capacitor C1, completely filling the space between them. After the dielectric is inserted in C1, the electric...
Consider the endowment economy. Jason has a utility function of uJ (c1, c2) = ln(c1) + 1 2 ln(c2). Tahani has a utility function of uT (c1, c2) = min {c1, c2} . The endowments are eJ = (1, 2) and eT = (2, 1). a. Define the competitive equilibrium for this economy. b. Calculate the market clearing prices and the equilibrium allocation
In the diagram two capacitors, C1 = 3.0 μF, and C2 = 6.0 μF are
connected in series to a battery and are fully charged. If the
electric energy stored in C1 is U1, then the energy stored in C2
equals to which of the following:
a. 4U1
b. 0.5U1
c. U1
d. 2U1
Ah C1 C2 E
C1 C2 The diagram here shows capacitors 1 and 2 with corresponding capacitance c, and C2 such that C2 >C1. Compare V1 and V2: