Econ 100 Exam 3 Maths practice worksheet 1 · PDF fileEcon 100 Exam 3 Maths practice worksheet...
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Econ 100 Exam 3 Maths practice worksheet 1
(1 point each) Simplify the following expressions:
1. x4
x−3 =
2. 2 log3(x) =
3. 42
4 =
4. AL0.75
L =
5. 5555 =
6. (x1α )α =
7. LαKβ
K =
8. 442
112=
(2 points each) Derive dydx for the following:
1. y = 12 + x6 ⇒ dydx =
2. y = x2 + x4 + x6 ⇒ dydx =
3. y = x5
x3⇒ dy
dx =
(3 points each) Derive d(C/Y )dY for the following:
1. C = 50 + 0.5Y + 100 + 150 ⇒ d(C/Y )dY =
2. C = 25 + Y ⇒ d(C/Y )dY =
3. C = 10 + 0.9Y + 40 ⇒ d(C/Y )dY =
Econ 100 Exam 3 Maths practice worksheet 1
(1 point each) Simplify the following expressions:
1. x4
x−3 =
2. 2 log3(x) =
3. 42
4 =
4. AL0.75
L =
5. 5555 =
6. (x1α )α =
7. LαKβ
K =
8. 442
112=
(2 points each) Derive dydx for the following:
1. y = 12 + x6 ⇒ dydx =
2. y = x2 + x4 + x6 ⇒ dydx =
3. y = x5
x3⇒ dy
dx =
(3 points each) Derive d(C/Y )dY for the following:
1. C = 50 + 0.5Y + 100 + 150 ⇒ d(C/Y )dY =
2. C = 25 + Y ⇒ d(C/Y )dY =
3. C = 10 + 0.9Y + 40 ⇒ d(C/Y )dY =
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