Post on 20-May-2015
transcript
1
a. Given the graph of the function find the following.
i. Estimate
ii. Estimate x such that
8.1-3
2g
( ) 9g x
2
Give the domain and range of the following radical functions.a.
8.1-5
3
xy xy 2 xy 2
Minimum point: Minimum point: Maximum point:Domain: Domain: Domain:Range: Range: Range:
4
Minimum point: Minimum point: Minimum point:Domain: Domain:Domain:Range: Range: Range:
3 xy 2 xy 4 xy
5
Give the domain and range of the following radical functions.a.
b.
c.
8.1-4
( ) 10h x x
( ) 8f x x
5)( xxg
6
a. Given the function find the following.
i.
ii. Estimate numerically(table or graph) x such that
8.1-3
6)( xxf)40(f
5)( xf
7
8.4
8
Algebraically:
.ISOLATE a square root term on one side of the equation.
.Square BOTH sides
.Repeat 1 and 2 until no square root term remains.
.Solve the new equation. (either linear or quadratic)
.Check that the proposed solution satisfies the ORIGINAL equation.
Graphically:
.Set the equation = 0
.Graph y1 = left side and y2 = right side (0)
.Find the intersection of your graph on the x-axis.
These (this) are the only possible solutions. No need to check.
10
Solve the following equations.
a. b.
8.4-1
12a 3 8 12m
11
Solve the following equations.
a. b.
8.4-4
7 3 1a a 7 10 6x
12
The period of a simple pendulum for a small amplitude is given by the function
Where is the period in seconds and L is the length of the pendulum in feet.a. Find the period of a pendulum if its length is 1ft.
b. How long does a pendulum need to be if we want the period to be 2.5 seconds?
8.4-2
( )T L( ) 2
32
LT L
13
8.5
14
Simplify the following, using the imaginary number i.
a. b. c.
8.5.1
4 50 25
15
For each complex number, name the real part and the imaginary part.
a. b.
8.5-2
7 2i 8i
16
Add or subtract the following complex numbers.
a. b.
8.5-3
(7 4 ) (6 5 )i i (2 8 ) (6 3 )i i
17
Multiply the following complex numbers.
a. b. c.
8.5-4
5(2 6 )i 3 (6 4 )i i (4 7 )(2 9 )i i
18
Write the complex conjugate of the following.
a. b. c.
8.5-5
3 7i 5 8i 2i
19
Multiply the following complex numbers by their conjugates.
a. b. c.
8.5-6
3 5i 4 6i 2i
20
Divide the following. Put all answers in the standard form of a complex number.
a. b. c.
8.5-7
9 21
3
i 2 5
3 2
i
i
8 5
3
i
i
21
Solve the following equations. Give answers in the standard form of a complex number.
a. b.
8.5-8
2 16m 2 3 20x x
22
Solve the following equations. Give answers in the standard form of a complex number.
c.
8.5-8
3 26 10 0t t t