1) Find the volume of the parallelopiped with adjacent edges PQ,
PR, PS where P ( -2,-3,-3) , Q (0,0,0) , R (-3,-4,-4) and S (
4,-5,-1)
2) Find the area of the parallelogram with vertices A (2,2) .B (
7,3) C (4,7) and D (9,8)
Find the volume of the parallelepiped with adjacent edges
PQ, PR, PS.
P(3, 0, 2), Q(−1, 2,
7), R(4, 2, −1), S(0,
5, 3)
Cubic units
If a = (2, −1, 5)
and b = (4, 2, 1),
find the following.
a × b =
b × a=
If
a = i − 5k and b = j + k, find a × b
If the pth term of an arithmetic progression is \( \frac{1}{q} \) and the qth term is \( \frac{1}{p} \) , prove that the sum of the first pq terms must be \( \frac{1}{2}(pq+1) \).
Demand function : QD(P) = 56 -
1/2P
Supply Function : Ps(Q)= 6Q
(1) Compute the market price and quantity in
equilibrium.
(2) Compute the consumer and producer surplus in
equilibrium.
In March 2020 an increase occurred, while the supply
function did not change, the new reservation price for the demand
function was found to be $200, while the slope of the demand
function did not change.
(3) Compute the new market price and quantity in equilibrium as
of March...
pr.1 The Observations were made from station P to signal at
station Q. The distance
between Pand Qis 12.5 km and diameter of signal at station Q was 20
cm. The sun rays make an angle
of 50° with line PQ. Calculate the phase correction if observations
were made:on the bright portion,on the bright line.. ,A base line
was measured with a steel tape of designated length 30 m at 20°C
ata pull of 100 N. The measured length of...
6. Consider infinitely repeated prisoner’s dilemma
C
D
C
2,2
-1,3
D
3.-1
0,0
(a) For each δ < 1 find the shortest length of punishment
that is needed in order to sustain cooperation, or show that the
cooperation cannot be sustained.
(b) Using the one-shot deviation principle for each δ argue
whether tit-for-tat strategy is an SPE or not. The tit-for-tat
strategy is to cooperate in period 1. In period t do whatever your
opponent did in period t...