28.
a.
By looking at the first graph we can estimate the number of panthers in 1985 being a few less than 100
panthers, approximately 97 panthers. In 1996 the graph shows the number of panthers having
decreased to a few above 40, approximately 42 panthers
13.
2
2
f ( x )=e 3 x + x
f ' ( x )=e 3 x + x lne ( 6 x+1 )
2
2+ 2
3
'
f ( 2 )=e
2
f ' ( x )=e 3 x + x ( 6 x +1 )
f ' ( 2 )=13 e 14
f ' ( 2 )=15,633,855.69
14.
To find the slope of the tangent at x=3 we first find the derivative of the function, which i
Assignment for Unit 1
Lesson 1 Key Questions
1a.
t
0
1
2
3
4
5
6
7
h ( t ) =4.9 t 2 + 450
450
445.1
430.4
405.9
371.6
327.6
273.6
209.9
b. The average velocity after 2 seconds is given by the slope of the secant between x=0 and x=2
let Average Velocity =
Unit One Mark: 88/89 = 99%
Unit 1
Lesson 1
8/8 Q1).A) See attachment.
B). Find the average velocity for the first 2 seconds after the ball was dropped.
( f (b) f ( a)
(b a)
2
2
( 4.9( 2) + 450)( 4.9( 0) + 450)
( 2 0)
( 430.4 450)
=9.8 m / s
(2 0)
.'. The