Find the area of the triangle with vertices:
Q(-1,-3,5), R(-2,0,7), S(-4,0,7).
Find the area of the triangle with vertices:
Q(-1,-3,5), R(-2,0,7), S(-4,0,7).
9K)Below is a list of all possible outcomes in the experiment of
rolling two die. (If...
9K)Below is a list of all possible outcomes in the experiment of
rolling two die. (If the grid pops up twice, pay attention to only
one table. Having formatting issues, apologies! And thank you for
your help!
1,1
1,2
1,3
1,4
1,5
1,6
2,1
2,2
2,3
2,4
2,5
2,6
3,1
3,2
3,3
3,4
3,5
3,6
4,1
4,2
4,3
4,4
4,5
4,6
5,1
5,2
5,3
5,4
5,5
5,6
6,1
6,2
6,3
6,4
6,5
6,6
Determine the following probabilities. Write your answers...
Player 1 chooses T, M, or B. Player 2 chooses L, C, or R.
L
C...
Player 1 chooses T, M, or B. Player 2 chooses L, C, or R.
L
C
R
T
0, 1
-1, 1
1, 0
M
1, 3
0, 1
2, 2
B
0, 1
0, 1
3, 1
(2 points each)
(a) Find all strictly dominated strategies for
Player 1. You should state what strategy strictly
dominates them.
(b) Find all weakly dominated strategies for
Player 2. You should state what
strategy weakly dominates them.
(c) Is there any weakly...
1.1. Let R be the counterclockwise rotation by 90 degrees.
Vectors r1=[3,3] and r2=[−2,3] are not...
1.1. Let R be the counterclockwise rotation by 90 degrees.
Vectors r1=[3,3] and r2=[−2,3] are not perpendicular. The inverse U
of the matrix M=[r1,r2] has columns perpendicular to r2 and r1, so
it must be of the form U=[x⋅R(r2),y⋅R(r1)]^T for some scalars x and
y. Find y^−1.
1.2. Vectors r1=[1,1] and r2=[−5,5] are perpendicular. The
inverse U of the matrix M=[r1,r2] has columns perpendicular to r2
and r1, so it must be of the form U=[x⋅r1,y⋅r2]^T for some scalars
x...
Find two nash equilibria of the game
L
C
R
U
1,-1
0,0
-1,1
M
0,0...
Find two nash equilibria of the game
L
C
R
U
1,-1
0,0
-1,1
M
0,0
1,1
0,0
D
-1,1
0,0
1,-1
Define p to be the set of all pairs (l,m) in N×N such that l≤m.
Which...
Define p to be the set of all pairs (l,m) in N×N such that l≤m.
Which of the conditions (a), (c), (r), (s), (t) does p satisfy?
(a) For any two elements y and z in X with (y,z)∈r and (z,y)∈r,
we have y=z
.(c) For any two elements y and z in X, we have (y,z)∈r or
(z,y)∈r.
(r) For each element x in X, we have (x,x)∈r.
(s) For any two elements y and z in X with...
A short circular cylinder of radius R and length L carries a
"frozen-in" uniform magnetization M...
A short circular cylinder of radius R and length L carries a
"frozen-in" uniform magnetization M parallel to its axis. Sketch
the magnetization M and the magnetic field B of the cylinder for
L>>R, L<<R, L=R, and L=2R. for the last case, include H
in the sketch.
8- What is A if P = [A × (1+R)L] + [B ×
(1+R)M] and P...
8- What is A if P = [A × (1+R)L] + [B ×
(1+R)M] and P = 31,244, B = 5,963, R = 0.1337, L = 3,
and M = 9? Round answer to nearest whole number.
10- What is C if X = (A + B – C) / C and X = 0.3427, A = 447,
and B = 8,921? Round answer to nearest whole number.
11- What is D if D = A – B – C...