Fundamental Methods of Mathematical Economics Exam help ASAP...

Fundamental Methods of Mathematical Economics Exam help ASAP

1
Fundamental Methods of Mathematical Economics (ECON 3410)
Part I
Question 1
Matrix Operations: (10%*3=30%)
Consider two matrices:
M = [
2 3
4 5
] and N = [
1 −1
1 −1
]
1. Solve the sum of M + N
2. Solve the product of ?
°
?
3. Find ?
±²
Question 2
Difference Quotient: (10%*2=20%)
Find the difference quotient for each function as a function of x
0
and ∆x :
(a)
³ = 12 ´
µ
(b)
¶(´) = 3´ + 2
Question 3
Derivatives: (6%*5=30%)
Find the derivative of each function
(a) ¶(´) = 8 ´
µ
+ 3
√
´ − 14
(b) ¶(´) = (3´ − 1·)´
µ
(c) ¶(´) = ¸
¹
´
º
(d) ¶(´) =
ln( ¹)
º
»
(e) ¶(´) =
µ¹
¹
»
±²