1. Fall 2005 Math 105 #28 Lesson 29
Nov. 17, 2005
Hyosang Kang

2. Lesson Plan
Section 8.1
Homework Review
Assignment
Test Review

3. Section 8.1 The Effect on Heart Rate (p342) Q, drug level (mg) 50 10050
100
150
200
250
r, heart rate (beats per minute) 60 70 80 90
110
t, time (hours) 1 2 3 4 5 6 7 8
160
128
102 82 66 52 42

4. Composition Heart rate, r=f(Q), as a function of drug level, Q.
Drug level, Q=g(t), as a function of time, t, since the medication was given.
Composition of two fuctions, f and g: Heart rate, r=f(g(t)), as a function of time, t, since the medication was given.

5. Table t, time (hours) 1 2 3 4 5 6 7 8 Q, drug level (mg) 250 200 1601 2 3 4 5 6 7 8
Q, drug level (mg)
250
200
160
128
102 82 66 52 42
150
100 50
r, heart rate (beats per minute)
110 90 80 70 92 86 76 73 68

6. Graph

7. Formula r = f(Q) = 60+0.2Q Q = g(t) = 250(0.8)t
r = f(g(t)) = g(t) = (250(0.8)t) = 60+50(0.8)t

8. Finding v(u(x))

9. Assignment
6.7 : 25,29,35
8.1 : 3,5,9,19,21,23,25,32
Team HW : 5.5:26, 6.1:28, 6.2:30, 6.5:20