Revenue A community fitness center has a pool and a weight room. The admission prices (in dollars) for residents and non- residents are given by the matrix P = [ 4.50 5.00 ] Residents Nonresidents . The average daily numbers of customers for the fitness center are given by the matrix Residents Nonresidents A = [ 90 78 63 59 ] Pool Weight room (a) Compute AP . (b) What is the average amount of money taken in by the pool each day?
Revenue A community fitness center has a pool and a weight room. The admission prices (in dollars) for residents and non- residents are given by the matrix P = [ 4.50 5.00 ] Residents Nonresidents . The average daily numbers of customers for the fitness center are given by the matrix Residents Nonresidents A = [ 90 78 63 59 ] Pool Weight room (a) Compute AP . (b) What is the average amount of money taken in by the pool each day?
Revenue A community fitness center has a pool and a weight room. The admission prices (in dollars) for residents and non- residents are given by the matrix
P
=
[
4.50
5.00
]
Residents
Nonresidents
.
The average daily numbers of customers for the fitness center are given by the matrix
Residents
Nonresidents
A
=
[
90
78
63
59
]
Pool
Weight
room
(a) Compute AP.
(b) What is the average amount of money taken in by the pool each day?
Q2: Using the Laplace transform, find the solution for the following equation
y"" +y" = 6et + 6t + 6. Suppose zero initial conditions (y"" (0) = y"(0) = y'(0) = y(0) = 0).
1- Let A = {A1, A2, ...), in which A, A, = 0, when i j.
a) Is A a π-system? If not, which element(s) should be added to A to become a π-system?
b) Prove that σ(A) consists of the finite or countable unions of elements of A; i.c., A E σ(A) if and
only if there exists finite or countable sequence {n} such that A = U₁An (Hint: Let F be such
class; prove that F is a σ-filed containing A.)
c) Let p ≥ 0 be a sequence of non-negative real numbers with Σip₁ = 1. Using p₁'s, how do you
construct a probability measure on σ(A)? (Hint: use extension theorem.)
2- Construct an example for which P(lim sup A,) = 1 and P(lim inf An) = 0.
3. Let
f(z) =
sin (22) + cos (T2)
2(22+1)(z+1)
Compute f(z)dz over each of the contours/closed curves C1, C2, C3 and C4 shown
below.
Don't use any Al tool
Don't send the same
previous answer that
was Al generated
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show ur answer
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