DigiPen (USA) Corp. c 2012
Homework 2:
Part I:
1- Solve the following equalities and inequalities. Express the solution as a set or an interval
respectively. Write down any conditions on the variable x whenever any exist.
a. 2 + 4 = 5 + 1
b. |2 + 13| = |
DigiPen (USA) Corp. c 2012
1- Give f o g(x) and g o f(x).
f(x) = x + x; g(x) = (4 x)
2- Find the roots of the following equations:
a. 3 + 2 = 0
b. 2 + 8 = 0
c. 5 7 + 2 = 0
d. 6 2 + 5 = 0
e. 2 ! + = 0
f. 5 9 + 4 = 0
g. 8 + 2 9 = 0
h. 3 + 4 7 = 0
i.
8 15 =
DigiPen (USA) Corp. c 2013
1- Rewrite the following terms in the form .
a.
b.
c.
d.
2- A man deposits in the bank the sum of $6000 with a yearly interest of 2%. Calculate the
amount that this man will have in 5 years. (Assume compound inte
DigiPen (USA) Corp. c 2012
Homework 4:
1- Specify the degree of the following polynomials:
a- Px = 3x + 2x 7x
b- Px, y, z = 2xy z + 5z + x y
c- Px, y, z =
d- Px, y, z =
+
e- Px, y, z = xy + z + xyz 1 2x 3y
f-
Px, y, z = 4z + 4xyz 7x y 5x 2x y z