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

Lesson Plan Section 8.1 Homework Review Assignment Test Review

Section 8.1 The Effect on Heart Rate (p342) Q, drug level (mg) 50 100 50 100 150 200 250 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

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.

Table t, time (hours) 1 2 3 4 5 6 7 8 Q, drug level (mg) 250 200 160 1 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

Graph

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

Finding v(u(x))

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