Economics 207 Laboratory Exercise 4 - Solving Equations and Finding Derivatives, Lab Reports of Economics

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ECONOMICS 207

SPRING 2005

LABORATORY EXERCISE 4

Problem 1. Solve the following systems of equations using the method of substitution a. 5 x + 4y = − 18

1. 04 x − 0. 12 y = 0. 16

Date : January 31, 2005. 1

b. − 2 x − 2 y + 2z = 2 4 x − 3 y + 2z = 16 2 x − 2 y − 3 z = 5

e. 6 x− 1 2 /^5 x^12 / 5 − 3 = 0 2 x^31 / 5 x− 2 4 /^5 − 2 = 0

f. 40 x− 1 3 /^5 x^12 / 5 − 10 = 0 20 x^21 / 5 x− 2 4 /^5 − 5 = 0

Problem 2. Solve the following systems of equations using the method of elimination a. 5 x + 4y = − 18

1. 04 x − 0. 12 y = 0. 16

c. 2 x + 3y + z = 6 8 x + 12y + 4z = 21

d. 2 x + 3y + z = 6 8 x + 12y + 4z = 24

i. y = (x + 5)^3 Find in two different ways.

j. y = ln(2x)

k. y = 3 e^2 x

l. y = (3x^2 + 4x^3 ) (x + 5)^3

m. y = (3x^2 + 4x^3 )^2 (ln (2x^2 ) + 5)^3